From 05d7f406404320225e61d263908305742a9ba20a Mon Sep 17 00:00:00 2001 From: alecappiello <149589647+alecappiello@users.noreply.github.com> Date: Wed, 13 Nov 2024 09:50:45 +0100 Subject: [PATCH 1/6] first steps of Aachen tutorial --- .../Aachen_Turbine/Aachen_Turbine.md | 268 ++++++++++++++++++ .../Aachen_Turbine/images/FullAnnulus.png | Bin 0 -> 630363 bytes .../images/FullAnnulus_MachContour.png | Bin 0 -> 970097 bytes .../images/SingleMesh_Adiabatic_NoSlip.png | Bin 0 -> 171518 bytes .../images/SingleMesh_Adiabatic_Periodics.png | Bin 0 -> 205587 bytes .../Aachen_Turbine/images/SinglePassage.png | Bin 0 -> 82259 bytes .../images/SinglePassageMesh.png | Bin 0 -> 908687 bytes 7 files changed, 268 insertions(+) create mode 100644 _tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md create mode 100644 tutorials_files/compressible_flow/Aachen_Turbine/images/FullAnnulus.png create mode 100644 tutorials_files/compressible_flow/Aachen_Turbine/images/FullAnnulus_MachContour.png create mode 100644 tutorials_files/compressible_flow/Aachen_Turbine/images/SingleMesh_Adiabatic_NoSlip.png create mode 100644 tutorials_files/compressible_flow/Aachen_Turbine/images/SingleMesh_Adiabatic_Periodics.png create mode 100644 tutorials_files/compressible_flow/Aachen_Turbine/images/SinglePassage.png create mode 100644 tutorials_files/compressible_flow/Aachen_Turbine/images/SinglePassageMesh.png diff --git a/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md b/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md new file mode 100644 index 00000000..fd024ded --- /dev/null +++ b/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md @@ -0,0 +1,268 @@ +--- +title: Aachen turbine stage with Mixing-plane +permalink: /tutorials/Aachen_Turbine/ +written_by: Alessandro Cappiello +for_version: 8.0.0 +revised_by: xxxx +revision_date: xxx +revised_version: xxx +solver: RANS +requires: SU2_CFD +complexity: advanced +follows: +--- + +![Mid-span Rel. Mach](../../../tutorials_files/compressible_flow/Aachen_Turbine/images/FullAnnulus_MachContour.png) + +## Goals +Upon completing this tutorial, the user will become familiar with performing 3D steady-state RANS calculations of multi-row axial turbines, elaborating viscous, compressible flows of air, modelled as an ideal gas. + +The solution will provide a flow field that can be compared against experimental data. + +The specific geometry chosen for the tutorial is a 1-1/2 axial turbine stage (stator 1 - rotor - stator 2), from Gallus, H. E., et al. "*Endwall and Unsteady Flow Phenomena in an Axial Turbine Stage.*" ASME. J. Turbomach. October 1995; 117(4): 562–570. https://doi.org/10.1115/1.2836568. + +*Note that the original rotor geometry has been modified, reducing the blade count from 41 to 36.* + + +The intent of this tutorial is to introduce a compressible flow problem involving an axial turbine to explain how turbo-specific features are used within SU2. + +The following capabilities of SU2 will be showcased in this tutorial: +- Steady, 3D RANS equations with the Spalart–Allmaras (SA) turbulence model +- Giles non-reflective boundary conditions +- Non-reflective mixing-plane +- Hub and Shroud surface treatment +- Turbo Performance BCs +- *Roe convective scheme in space (2nd-order, upwind)* + + +## Resources + +You can find the resources for this tutorial in the folder [compressible_flow/Aachen_Turbine](https://github.com/su2code/Tutorials/tree/master/compressible_flow/Aachen_Turbine) in the [tutorial repository](https://github.com/su2code/Tutorials). +You will need the mesh file [Aachen_Turbine.su2](https://github.com/su2code/Tutorials/tree/master/compressible_flow/Aachen_Turbine/Aachen_Turbine.su2) and the main config file [Aachen_Turbine.cfg](https://github.com/su2code/Tutorials/tree/master/compressible_flow/Aachen_Turbine/Aachen_Turbine.cfg), together with the sub-config files: [stator1.cfg](https://github.com/su2code/Tutorials/tree/master/compressible_flow/Aachen_Turbine/stator1.cfg), [rotor.cfg](https://github.com/su2code/Tutorials/tree/master/compressible_flow/Aachen_Turbine/rotor.cfg), [stator2.cfg](https://github.com/su2code/Tutorials/tree/master/compressible_flow/Aachen_Turbine/stator2.cfg). + +*Note that, while the meshes used for this tutorial feature boundary layer refinements at the endwalls and on blade surfaces, +it does not include the rotor tip gap and is rather coarse. For comparison of the results with literature, a finer meshes should be used.* + + + +## Tutorial + +The following tutorial will walk you through the steps required when solving state-state flows through multi-row turbines using SU2. It is assumed you have already obtained and compiled SU2_CFD. If you have yet to complete these requirements, please see the [Download](/docs_v7/Download/) and [Installation](/docs_v7/Installation/) pages. + +### Background + +This example uses a 3D 1 and a 1/2 turbine stage encompassing one stator, one rotor and a downstream stator, equal to the +first one. Consequently, the case requires multi frame of reference to account for the rotor rotation + + +### Problem Setup + +This tutorial will solve the flow through the Aachen turbine for the following boundary conditions: +- Working fluid is air +- Inlet Stagnation Temperature = 308.26 K +- Inlet Stagnation Pressure = 158245.38 Pa +- Inlet Flow Direction, unit vector (Flow dir-norm, Flow dir-tang, Flow dir-span) = (1.0, 0.0, 0.0) +- Outlet Static Pressure = 110050.96 Pa +- Rotor Rotational Speed, vector component (x y z) = 0.0 0.0 -366.52 rad/s + + +### Geometry Description + +To reduce the computational cost, the computational domain is reduced to one blade passage per row, +(with the blade at the centre of the mesh), exploiting the geometrical periodicity at the system. + +![Full Annulus Domain](../../../tutorials_files/compressible_flow/Aachen_Turbine/images/FullAnnulus.png) +![Single Passage Domain](../../../tutorials_files/compressible_flow/Aachen_Turbine/images/SinglePassage.png) +Figure (1): Computational domain reduction. + +### Mesh Description +The mesh is composed of hexahedral elements, with xxxx elements for stator 1 and 2, respectively, +and xxxx elemetns for the rotor. +The figure shows the mesh topology and an indication of the boundary conditions. + +### Boundary Conditions + +- Adiabatic, no-slip boundary conditions: + This kind of boundary condition is applied to all solid walls, highlighted in grey in Figure 2, such as HUB, SHROUD + AND BLADE belonging to each row, via the MARKER_HEATFLUX. +``` +MARKER_HEATFLUX= (BLADE1, 0.0, BLADE2, 0.0, BLADE3, 0.0, HUB1, 0.0, SHROUD1, 0.0, HUB2, 0.0, SHROUD2, 0.0, HUB3, 0.0, SHROUD3, 0.0) +``` +![Adiabatic, no-slip bc](../../../tutorials_files/compressible_flow/Aachen_Turbine/images/SingleMesh_Adiabatic_NoSlip.png) +Figure (2): Hub, shroud and blade surfaces. + +- (Rotational) Periodic boundary conditions: + This kind of boundary condition is applied to pairs of surfaces, such as the sides of the domain + (as highlighted in Figure 3 in brown and purple), via the MARKER_PERIODIC, providing a periodic marker (purple surface), + a donor marker (brown surface), the coordinates of the rotation centre (x,y,z) and the rotation angle components + (x-axis, y-axis, z-axis). +``` +% Periodic boundary marker(s) (NONE = no marker) +% Format: ( periodic marker, donor marker, rot_cen_x, rot_cen_y, rot_cen_z, rot_angle_x-axis, rot_angle_y-axis, rot_angle_z-axis, translation_x, translation_y, translation_z) +MARKER_PERIODIC= (PER1_STATOR1, PER2_STATOR1, 0.0, 0.0, 0.0, 0.0, 0.0, 8.7804878, 0.0, 0.0, 0.0, PER1_ROTOR, PER2_ROTOR, 0.0, 0.0, 0.0, 0.0, 0.0, 8.7804878, 0.0, 0.0, 0.0, PER1_STATOR2, PER2_STATOR2, 0.0, 0.0, 0.0, 0.0, 0.0, 8.7804878, 0.0, 0.0, 0.0) +% +``` +![Periodic boundary conditions](../../../tutorials_files/compressible_flow/Aachen_Turbine/images/SingleMesh_Adiabatic_Periodics.png) +Figure (3): Periodic and donor surfaces. + +- Non-reflective boundary conditions (inlet, outlet and mixing-plane surfaces) + +### Configuration File Options + +Several of the key configuration file options for this simulation are highlighted here. + +The governing equations are Navier-Stokes, but by entering `KIND_TURB_MODEL= SST` we activate the RANS governing equations with the Shear Stress Transport model (SST) of Menter. + +``` +% ------------- DIRECT, ADJOINT, AND LINEARIZED PROBLEM DEFINITION ------------% +% +% Physical governing equations (EULER, NAVIER_STOKES, +% FEM_EULER, FEM_NAVIER_STOKES, FEM_RANS, FEM_LES, +% WAVE_EQUATION, HEAT_EQUATION, FEM_ELASTICITY, +% POISSON_EQUATION) +SOLVER= NAVIER_STOKES +% +% Specify turbulence model (NONE, SA, SA_NEG, SST, SA_E, SA_COMP, SA_E_COMP) +KIND_TURB_MODEL= SST +``` + +Initialization of the flow field for compressible problems can be performed by multiple methods. The default method is to initialize using the specified Reynolds number (`INIT_OPTION= REYNOLDS`) and free-stream temperature (`FREESTREAM_OPTION= TEMPERATURE_FS`). In this case, the flow is initialized from thermodynamic quantities directly with `INIT_OPTION= TD_CONDITIONS`, thus the Reynolds number option will be ignored. Regardless of the initialization method, we recommend that you always confirm the resulting initialization state in the console output during runtime of SU2 that is reported just before the solver begins iterating. In this case, the flow field is initialized with stagnation temperature and pressure. + +``` +% Init option to choose between Reynolds (default) or thermodynamics quantities +% for initializing the solution (REYNOLDS, TD_CONDITIONS) +INIT_OPTION= TD_CONDITIONS +% +% Free-stream option to choose between density and temperature (default) for +% initializing the solution (TEMPERATURE_FS, DENSITY_FS) +FREESTREAM_OPTION= TEMPERATURE_FS +% +% Free-stream pressure (101325.0 N/m^2, 2116.216 psf by default) +FREESTREAM_PRESSURE= 904388 +% +% Free-stream temperature (288.15 K, 518.67 R by default) +FREESTREAM_TEMPERATURE= 542.13 +``` + +For this problem, the ideal gas model is not suitable, and the Peng-Robinson-Stryjek-Vera equation of state is selected by setting the `FLUID_MODEL` to `PR_GAS`. +The parameter `GAMMA_VALUE` is computed in the dilute-gas limit (very low pressure, total temperature), while other entries are fluid data. + +``` +% ---- IDEAL GAS, POLYTROPIC, VAN DER WAALS AND PENG ROBINSON CONSTANTS -------% +% +% Fluid model (STANDARD_AIR, IDEAL_GAS, VW_GAS, PR_GAS, +% CONSTANT_DENSITY, INC_IDEAL_GAS, INC_IDEAL_GAS_POLY) +FLUID_MODEL= PR_GAS +% +% Ratio of specific heats (1.4 default and the value is hardcoded +% for the model STANDARD_AIR, compressible only) +GAMMA_VALUE= 1.01767 +% +% Specific gas constant (287.058 J/kg*K default and this value is hardcoded +% for the model STANDARD_AIR, compressible only) +GAS_CONSTANT= 35.17 +% +% Critical Temperature (131.00 K by default) +CRITICAL_TEMPERATURE= 565.3609 +% +% Critical Pressure (3588550.0 N/m^2 by default) +CRITICAL_PRESSURE= 1437500 +% +% Acentric factor (0.035 (air)) +ACENTRIC_FACTOR= 0.524 +``` + +In addition, the models for transport coefficients can also be customized by exploring the viscosity and thermal conductivity options. By default with compressible flow, the laminar viscosity is governed by Sutherland’s law, and the thermal conductivity is assumed to depend on a constant Prandtl number. However, in the case of the Peng-Robinson-Stryjek-Vera equation of state (`PR_GAS`), the `CONSTANT_VISCOSITY` and `CONSTANT_CONDUCTIVITY` options are the only available. The values of the dynamic viscosity and thermal conductivity are imposed by entering the values for `MU_CONSTANT` and `KT_CONSTANT`. + +``` +% --------------------------- VISCOSITY MODEL ---------------------------------% +% +% Viscosity model (SUTHERLAND, CONSTANT_VISCOSITY, POLYNOMIAL_VISCOSITY). +VISCOSITY_MODEL= CONSTANT_VISCOSITY +% +% Molecular Viscosity that would be constant (1.716E-5 by default) +MU_CONSTANT= 1.21409E-05 + +% --------------------------- THERMAL CONDUCTIVITY MODEL ----------------------% +% +% Laminar Conductivity model (CONSTANT_CONDUCTIVITY, CONSTANT_PRANDTL, +% POLYNOMIAL_CONDUCTIVITY). +CONDUCTIVITY_MODEL= CONSTANT_CONDUCTIVITY +% +% Molecular Thermal Conductivity that would be constant (0.0257 by default) +KT_CONSTANT= 0.030542828 +``` + +Characteristics-based Riemann boundary conditions are imposed on the INFLOW and OUTFLOW boundaries. +The parameters specified in the config excerpt below are: +- Label of the inflow boundary +- Type of input specified on the inflow boundary. For this test case, total pressure and temperature are specified. +- Total pressure [Pa] +- Total temperature [K] +- Inlet Flow Direction, unit vector (x,y,z) = (1.0, 0.0, 0.0) +- Label of the outflow boundary +- Type of input specified on the outflow boundary. For this test case, static pressure is specified +- Static pressure on the outflow boundary [Pa] + +``` +% Riemann boundary marker(s) (NONE = no marker) +% Format: (marker, data kind flag, list of data) +MARKER_RIEMANN= ( INFLOW, TOTAL_CONDITIONS_PT, 904388, 542.13, 1.0, 0.0, 0.0, OUTFLOW, STATIC_PRESSURE, 200000, 0.0, 0.0, 0.0, 0.0 ) +``` + +In this test case, CFL adaptation is employed to accelerate convergence to steady state. Within this procedure, the CFL value at each iteration is determined based on the residual value at the current and previous iteration, as *CFL = CFL * (residual_old / residual_new)^power*. The value of *power* is given by the parameters `factor down` or `factor up` provided at the entry `CFL_ADAPT_PARAM`. The value of *power* is chosen depending on whether *residual_new* is greater or lower than the *residual_old*. The user can choose to only increase the CFL by setting the first entry of `CFL_ADAPT_PARAM` to `0`. + +``` +% CFL number (initial value for the adaptive CFL number) +CFL_NUMBER= 10.0 +% +% Adaptive CFL number (NO, YES) +CFL_ADAPT= YES +% +% Parameters of the adaptive CFL number (factor down, factor up, CFL min value, +% CFL max value ) +CFL_ADAPT_PARAM= ( 0.1, 2.0, 10.0, 1000.0 ) +``` + +For this test case, we chose the Roe upwind scheme with 2nd-order reconstruction (`MUSCL_FLOW = YES`). Note that, in order to activate the slope limiter for the upwind methods, `SLOPE_LIMITER_FLOW` must be set to something other than `NONE`. For turbulent convective and viscous fluxes, the default schemes are the scalar upwind method and the corrected average-of-gradients method, respectively. Convective fluxes are computed here to 1st-order (`MUSCL_TURB= NO`). + +``` +% ----------- SLOPE LIMITER AND DISSIPATION SENSOR DEFINITION -----------------% +% +% Monotonic Upwind Scheme for Conservation Laws (TVD) in the flow equations. +% Required for 2nd order upwind schemes (NO, YES) +MUSCL_FLOW= YES +% +% Slope limiter (NONE, VENKATAKRISHNAN, VENKATAKRISHNAN_WANG, +% BARTH_JESPERSEN, VAN_ALBADA_EDGE) +SLOPE_LIMITER_FLOW= NONE +% +% Monotonic Upwind Scheme for Conservation Laws (TVD) in the turbulence equations. +% Required for 2nd order upwind schemes (NO, YES) +MUSCL_TURB= NO +``` + +### Running SU2 + +The nozzle simulation is relatively small and will execute quickly on a single workstation or laptop. This case will be run in serial. To run this test case, follow these steps at a terminal command line: + +1. 1. Move to the directory containing the config file (NICFD_nozzle.cfg) and the mesh file (NICFD_nozzle.su2). Make sure that the SU2 tools were compiled, installed, and that their install location was added to your path. +2. Run the executable by entering in the command line: + + ``` + $ SU2_CFD NICFD_nozzle.cfg + ``` + +3. SU2 will print residual updates with each iteration of the flow solver, and the simulation will terminate after reaching the specified convergence criteria. +4. Files containing the results will be written upon exiting SU2. The flow solution can be visualized in ParaView (.vtk) or Tecplot (.dat for ASCII). + +### Results + +Results are given here for the SU2 solution of supersonic non-ideal compressible flow in the converging-diverging nozzle. As part of this tutorial, a coarse mesh was provided, but for comparison, results obtained by using a refined mesh (80,223 elements and 80,840 points) as well as experimental results are shown. +The figures below compare pressure and Mach number trends along the nozzle axis obtained from SU2 flow solutions and experimental data. Numerical results agree with the experimental data from the TROVA wind tunnel. + +![NICFD nozzle results A](../../tutorials_files/compressible_flow/NICFD_nozzle/images/nozzle_geometry_schlieren.png) +![NICFD nozzle results B](../../tutorials_files/compressible_flow/NICFD_nozzle/images/Pressure_SU2_experiments.png) +![NICFD nozzle results C](../../tutorials_files/compressible_flow/NICFD_nozzle/images/Mach_SU2_experiments.png) + +Figure (2): (a) Geometry of the test section and schlieren image of the nozzle flow. 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z7ZI^TZ_w0r@jl=KTAwPC~>WnDyX_zQV*s|7@aCq?Dx-331e(f03;ni_SxEOcH% zD;$EFps7tvPRgda((q%)8ovTO%+n{tQF`h~|HsfMAW`I9{*X(zT@qAzOU_gPV-X|J zd?dUWGj}@qk|48OuDNe$lx9@ph2BNT42kM`=HvatntHQ_M|K}fT zh*!szyo%7AxNH>(3I*3M$;6A|+HXs2Dy|Q=`LH%0wX2zALjk`s4os6 Date: Fri, 6 Dec 2024 15:09:05 +0100 Subject: [PATCH 2/6] Aachen turbine tutorial first draft --- .../Aachen_Turbine/Aachen_Turbine.md | 397 ++++++++++++------ .../images/2D_MidSpan_RelMach.png | Bin 0 -> 262159 bytes .../images/Full_View_MachContour.png | Bin 0 -> 1289058 bytes .../images/SingleMesh_Adiabatic_Giles.png | Bin 0 -> 146618 bytes ...SingleMesh_Adiabatic_Giles_MixingPlane.png | Bin 0 -> 168205 bytes .../images/SingleMesh_shroud.png | Bin 0 -> 185502 bytes 6 files changed, 259 insertions(+), 138 deletions(-) create mode 100644 tutorials_files/compressible_flow/Aachen_Turbine/images/2D_MidSpan_RelMach.png create mode 100644 tutorials_files/compressible_flow/Aachen_Turbine/images/Full_View_MachContour.png create mode 100644 tutorials_files/compressible_flow/Aachen_Turbine/images/SingleMesh_Adiabatic_Giles.png create mode 100644 tutorials_files/compressible_flow/Aachen_Turbine/images/SingleMesh_Adiabatic_Giles_MixingPlane.png create mode 100644 tutorials_files/compressible_flow/Aachen_Turbine/images/SingleMesh_shroud.png diff --git a/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md b/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md index fd024ded..6fb51932 100644 --- a/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md +++ b/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md @@ -2,7 +2,7 @@ title: Aachen turbine stage with Mixing-plane permalink: /tutorials/Aachen_Turbine/ written_by: Alessandro Cappiello -for_version: 8.0.0 +for_version: 8.1.0 revised_by: xxxx revision_date: xxx revised_version: xxx @@ -15,24 +15,23 @@ follows: ![Mid-span Rel. Mach](../../../tutorials_files/compressible_flow/Aachen_Turbine/images/FullAnnulus_MachContour.png) ## Goals -Upon completing this tutorial, the user will become familiar with performing 3D steady-state RANS calculations of multi-row axial turbines, elaborating viscous, compressible flows of air, modelled as an ideal gas. +Upon completing this tutorial, the user will become familiar with 3D steady-state RANS calculations of multi-row axial turbines, elaborating viscous, compressible flows of air, modelled as an ideal gas. The solution will provide a flow field that can be compared against experimental data. -The specific geometry chosen for the tutorial is a 1-1/2 axial turbine stage (stator 1 - rotor - stator 2), from Gallus, H. E., et al. "*Endwall and Unsteady Flow Phenomena in an Axial Turbine Stage.*" ASME. J. Turbomach. October 1995; 117(4): 562–570. https://doi.org/10.1115/1.2836568. +The geometry chosen for the tutorial is a 1-1/2 axial turbine stage (stator 1 - rotor - stator 2), from Gallus, H. E., et al. "*Endwall and Unsteady Flow Phenomena in an Axial Turbine Stage.*" ASME. J. Turbomach. October 1995; 117(4): 562–570. https://doi.org/10.1115/1.2836568. -*Note that the original rotor geometry has been modified, reducing the blade count from 41 to 36.* +*Note that the original stator geometries have been modified, increasing the blade count from 36 to 41.* The intent of this tutorial is to introduce a compressible flow problem involving an axial turbine to explain how turbo-specific features are used within SU2. - The following capabilities of SU2 will be showcased in this tutorial: - Steady, 3D RANS equations with the Spalart–Allmaras (SA) turbulence model - Giles non-reflective boundary conditions - Non-reflective mixing-plane - Hub and Shroud surface treatment - Turbo Performance BCs -- *Roe convective scheme in space (2nd-order, upwind)* +- Wall functions ## Resources @@ -40,8 +39,8 @@ The following capabilities of SU2 will be showcased in this tutorial: You can find the resources for this tutorial in the folder [compressible_flow/Aachen_Turbine](https://github.com/su2code/Tutorials/tree/master/compressible_flow/Aachen_Turbine) in the [tutorial repository](https://github.com/su2code/Tutorials). You will need the mesh file [Aachen_Turbine.su2](https://github.com/su2code/Tutorials/tree/master/compressible_flow/Aachen_Turbine/Aachen_Turbine.su2) and the main config file [Aachen_Turbine.cfg](https://github.com/su2code/Tutorials/tree/master/compressible_flow/Aachen_Turbine/Aachen_Turbine.cfg), together with the sub-config files: [stator1.cfg](https://github.com/su2code/Tutorials/tree/master/compressible_flow/Aachen_Turbine/stator1.cfg), [rotor.cfg](https://github.com/su2code/Tutorials/tree/master/compressible_flow/Aachen_Turbine/rotor.cfg), [stator2.cfg](https://github.com/su2code/Tutorials/tree/master/compressible_flow/Aachen_Turbine/stator2.cfg). -*Note that, while the meshes used for this tutorial feature boundary layer refinements at the endwalls and on blade surfaces, -it does not include the rotor tip gap and is rather coarse. For comparison of the results with literature, a finer meshes should be used.* +*Note that, while the mesh used for this tutorial feature boundary layer refinements at the endwalls and on blade surfaces, +it does not include the rotor tip gap and it is rather coarse. For comparison of the results against literature, a finer meshes should be used.* @@ -51,8 +50,8 @@ The following tutorial will walk you through the steps required when solving sta ### Background -This example uses a 3D 1 and a 1/2 turbine stage encompassing one stator, one rotor and a downstream stator, equal to the -first one. Consequently, the case requires multi frame of reference to account for the rotor rotation +This example uses a 3D one and a half turbine stage encompassing one stator, one rotor and a downstream stator, equal to the +first one. Consequently, the case requires multiple frame of reference to account for the rotor rotation ### Problem Setup @@ -68,201 +67,323 @@ This tutorial will solve the flow through the Aachen turbine for the following b ### Geometry Description -To reduce the computational cost, the computational domain is reduced to one blade passage per row, -(with the blade at the centre of the mesh), exploiting the geometrical periodicity at the system. +To reduce the computational cost, the geometrical periodicity of the system is exploited reducing the computational domain to one blade passage per row +(with the blade at the centre of the mesh). As it will be explained later, this requires the use of periodic boundary conditions. ![Full Annulus Domain](../../../tutorials_files/compressible_flow/Aachen_Turbine/images/FullAnnulus.png) ![Single Passage Domain](../../../tutorials_files/compressible_flow/Aachen_Turbine/images/SinglePassage.png) Figure (1): Computational domain reduction. ### Mesh Description -The mesh is composed of hexahedral elements, with xxxx elements for stator 1 and 2, respectively, -and xxxx elemetns for the rotor. -The figure shows the mesh topology and an indication of the boundary conditions. +The mesh is composed of hexahedral elements, with 53634 elements for stator 1 passage, 67935 elements for the rotor passage and 52374 for stator 2 passage. + +Upon preparing the mesh, it is important to make sure that the machine axis is the Z-axis and that the flow proceeds in the positive z-direction. + + +### Multizone Config File +The current case features a multizone domain. As a consequence, the `MULTIZONE` option must be used, and the list of sub-config files (one per zone) must be provided via `CONFIG_LIST`. An example of the necessary syntax is provided in the following box. + +``` +MULTIZONE= YES + +% List of config files for zone-specific options +CONFIG_LIST=(stator1.cfg, rotor.cfg, stator2.cfg) +``` +#### Sub-config Files +The most important information that must be specified in the sub-config files concerns the grid movement. To activate it, the `GRID_MOVEMENT` option must be specified, together with the `MOTION_ORIGIN` and angular velocity (`ROTATION_RATE`) components about the rotation axis.\ +For the solver initialization the motion Mach number is specified via the `MACH_MOTION`. \ +Finally, a smoother convergence can be achieved via the `RAMP_ROTATING_FRAME`. Although not used in the present case, it can be activated similarly to the outlet pressure ramp, describe later in this tutorial. + +These options are shown for the rotor sub-config file in the following box. + +``` +% Type of dynamic mesh (NONE, ROTATING_FRAME) +GRID_MOVEMENT = ROTATING_FRAME + +MACH_MOTION= 0.35 + +MOTION_ORIGIN= 0.0 0.0 0.0 + +% Angular velocity vector in rad/s +ROTATION_RATE= 0.0 0.0 -366.52 + +RAMP_ROTATING_FRAME= NO + +% Parameters of the rotating frame ramp: + starting rotational speed, + updating-iteration-frequency, + total number of iterations for the ramp +RAMP_ROTATING_FRAME_COEFF= (0.0, 150.0, 2000) +``` ### Boundary Conditions +To setup a turbomachinery CFD calculation, several kinds of boundary conditions are needed. The boundary conditions relevant to the Aachen turbine test case are discussed in the following, together with the necessary syntax to activate them. + +#### Adiabatic, no-slip boundary conditions: + +This kind of boundary condition is applied to all solid walls, highlighted in grey in Figure 2, such as HUB, SHROUD +AND BLADE belonging to each row. To make a wall adiabatic the ```MARKER_HEATFLUX``` can be used specifying a zero heatflux. This will also ensure that a no-slip condition is enforced on that wall. +The following box shows the syntax to be used to enforce this boundary condition at all sold walls present in the meshes. -- Adiabatic, no-slip boundary conditions: - This kind of boundary condition is applied to all solid walls, highlighted in grey in Figure 2, such as HUB, SHROUD - AND BLADE belonging to each row, via the MARKER_HEATFLUX. ``` -MARKER_HEATFLUX= (BLADE1, 0.0, BLADE2, 0.0, BLADE3, 0.0, HUB1, 0.0, SHROUD1, 0.0, HUB2, 0.0, SHROUD2, 0.0, HUB3, 0.0, SHROUD3, 0.0) +% Format: (marker, 0.0) + +MARKER_HEATFLUX = (BLADE1, 0.0, BLADE2, 0.0, BLADE3, 0.0, HUB1, 0.0, SHROUD1, 0.0, HUB2, 0.0, SHROUD2, 0.0, HUB3, 0.0, SHROUD3, 0.0) ``` ![Adiabatic, no-slip bc](../../../tutorials_files/compressible_flow/Aachen_Turbine/images/SingleMesh_Adiabatic_NoSlip.png) Figure (2): Hub, shroud and blade surfaces. -- (Rotational) Periodic boundary conditions: - This kind of boundary condition is applied to pairs of surfaces, such as the sides of the domain - (as highlighted in Figure 3 in brown and purple), via the MARKER_PERIODIC, providing a periodic marker (purple surface), - a donor marker (brown surface), the coordinates of the rotation centre (x,y,z) and the rotation angle components - (x-axis, y-axis, z-axis). + +#### (Rotational) Periodic boundary conditions: +This kind of boundary condition is applied to pairs of surfaces, such as the sides of the domain +(highlighted in Figure 3 in brown and purple). To enforce it, ```MARKER_PERIODIC``` should be used, providing the name of a "periodic marker" (purple surface), a "donor marker" (brown surface). +In cases involving rotational periodicity (in contrast to translational periodicity) the coordinates of the rotation centre (x,y,z) and the rotation angle components (x-axis, y-axis, z-axis) should be provided. +The following box shows the syntax to be used to enforce this boundary condition at all sold walls present in the meshes. ``` -% Periodic boundary marker(s) (NONE = no marker) + % Format: ( periodic marker, donor marker, rot_cen_x, rot_cen_y, rot_cen_z, rot_angle_x-axis, rot_angle_y-axis, rot_angle_z-axis, translation_x, translation_y, translation_z) -MARKER_PERIODIC= (PER1_STATOR1, PER2_STATOR1, 0.0, 0.0, 0.0, 0.0, 0.0, 8.7804878, 0.0, 0.0, 0.0, PER1_ROTOR, PER2_ROTOR, 0.0, 0.0, 0.0, 0.0, 0.0, 8.7804878, 0.0, 0.0, 0.0, PER1_STATOR2, PER2_STATOR2, 0.0, 0.0, 0.0, 0.0, 0.0, 8.7804878, 0.0, 0.0, 0.0) -% + +MARKER_PERIODIC = (PER1_STATOR1, PER2_STATOR1, 0.0, 0.0, 0.0, 0.0, 0.0, 8.7804878, 0.0, 0.0, 0.0, PER1_ROTOR, PER2_ROTOR, 0.0, 0.0, 0.0, 0.0, 0.0, 8.7804878, 0.0, 0.0, 0.0, PER1_STATOR2, PER2_STATOR2, 0.0, 0.0, 0.0, 0.0, 0.0, 8.7804878, 0.0, 0.0, 0.0) + ``` ![Periodic boundary conditions](../../../tutorials_files/compressible_flow/Aachen_Turbine/images/SingleMesh_Adiabatic_Periodics.png) Figure (3): Periodic and donor surfaces. -- Non-reflective boundary conditions (inlet, outlet and mixing-plane surfaces) +#### Non-reflective boundary conditions +Non-reflective boundary conditions can be enforced by means of the +```MARKER_GILES``` boundary. They can be used for both inlet-outlet, as well as mixing-plane boundaries. Furthermore, under-relaxation factors can be provided both for the average and Fourier components at any boundary where the Giles boundary condition is used. -### Configuration File Options +##### Inlet and outlet boundaries +The ```TOTAL_CONDITIONS_PT``` option allows to enforce the total inlet condition on a chosen boundary (identified by its marker). These include pressure and temperature, together with the incoming flow direction, expressed via its components in cylindrical coordinates. +The ```STATIC_PRESSURE_1D``` can be used to enforce the outlet static pressure value on a boundary where the flow is in radial equilibrium. +These two options are applied to the inlet and outlet surfaces of the domain, respectively, highlighted in light blue in Figure 4. +The following box presents the corresponding syntax. + +``` +% Non reflecting boundary condition for inflow and outflow: + +% Format inlet: +( marker, TOTAL_CONDITIONS_PT, Total Pressure , Total Temperature, Flow dir-norm, Flow dir-tang, Flow dir-span, under-relax-avg, under-relax-fourier) + +(INFLOW_STATOR1, TOTAL_CONDITIONS_PT, 153846.05, 308.26, 1.0, 0.0, 0.0, 0.3, 0.0) -Several of the key configuration file options for this simulation are highlighted here. -The governing equations are Navier-Stokes, but by entering `KIND_TURB_MODEL= SST` we activate the RANS governing equations with the Shear Stress Transport model (SST) of Menter. +% Format outlet: +(marker, STATIC_PRESSURE_1D, Static Pressure value, -, -, -, -, under-relax-avg, under-relax-fourier) +(OUTFLOW_STATOR2, STATIC_PRESSURE_1D, 110050.96, +0.0, 0.0, 0.0, 0.0 , 1.0, 0.0) ``` -% ------------- DIRECT, ADJOINT, AND LINEARIZED PROBLEM DEFINITION ------------% -% -% Physical governing equations (EULER, NAVIER_STOKES, -% FEM_EULER, FEM_NAVIER_STOKES, FEM_RANS, FEM_LES, -% WAVE_EQUATION, HEAT_EQUATION, FEM_ELASTICITY, -% POISSON_EQUATION) -SOLVER= NAVIER_STOKES -% -% Specify turbulence model (NONE, SA, SA_NEG, SST, SA_E, SA_COMP, SA_E_COMP) -KIND_TURB_MODEL= SST + +![Non-reflective inlet and outlet boundary conditions](../../../tutorials_files/compressible_flow/Aachen_Turbine/images/SingleMesh_Adiabatic_Giles.png) +Figure (4): Non-reflective inlet and outlet boundary conditions + +###### Mixing-plane surfaces +For mixing plane surfaces, as those highlight in light red in Figure 5, ```MIXING_IN``` and ```MIXING_OUT``` can be used, depending on whether the flow enters or exits through that boundary. +The following box shows the corresponding syntax. + +``` +% Non reflecting boundary condition for mixing-plane: +% Format mixing-plane in and out: +( marker, MIXING_IN or MIXING_OUT, -, -, -, -, -, -, under-relax-avg, under-relax-fourier) + +(OUTFLOW_STATOR1, MIXING_OUT, 0.0, 0.0, 0.0, 0.0, 0.0, 0.3, 0.0, +INFLOW_ROTOR, MIXING_IN, 0.0, 0.0, 0.0, 0.0, 0.0, 0.3, 0.0) ``` -Initialization of the flow field for compressible problems can be performed by multiple methods. The default method is to initialize using the specified Reynolds number (`INIT_OPTION= REYNOLDS`) and free-stream temperature (`FREESTREAM_OPTION= TEMPERATURE_FS`). In this case, the flow is initialized from thermodynamic quantities directly with `INIT_OPTION= TD_CONDITIONS`, thus the Reynolds number option will be ignored. Regardless of the initialization method, we recommend that you always confirm the resulting initialization state in the console output during runtime of SU2 that is reported just before the solver begins iterating. In this case, the flow field is initialized with stagnation temperature and pressure. +Additionally, to activate the transfer of information between zones at the mixing planes, couples of boundaries forming a mixing-plane must be specified via the ```MARKER_MIXINGPLANE_INTERFACE``` and ```MARKER_ZONE_INTERFACE``` in stream-wise order, as shown in the following box. ``` -% Init option to choose between Reynolds (default) or thermodynamics quantities -% for initializing the solution (REYNOLDS, TD_CONDITIONS) -INIT_OPTION= TD_CONDITIONS -% -% Free-stream option to choose between density and temperature (default) for -% initializing the solution (TEMPERATURE_FS, DENSITY_FS) -FREESTREAM_OPTION= TEMPERATURE_FS -% -% Free-stream pressure (101325.0 N/m^2, 2116.216 psf by default) -FREESTREAM_PRESSURE= 904388 -% -% Free-stream temperature (288.15 K, 518.67 R by default) -FREESTREAM_TEMPERATURE= 542.13 +MARKER_MIXINGPLANE_INTERFACE= (OUTFLOW_STATOR1, INFLOW_ROTOR, OUTFLOW_ROTOR, INFLOW_STATOR2) + +MARKER_ZONE_INTERFACE= (OUTFLOW_STATOR1, INFLOW_ROTOR, OUTFLOW_ROTOR, INFLOW_STATOR2) ``` -For this problem, the ideal gas model is not suitable, and the Peng-Robinson-Stryjek-Vera equation of state is selected by setting the `FLUID_MODEL` to `PR_GAS`. -The parameter `GAMMA_VALUE` is computed in the dilute-gas limit (very low pressure, total temperature), while other entries are fluid data. + + +The kind of interpolation method to be used at the mixing-planes can be specified via the ```MIXINGPLANE_INTERFACE_KIND```. Possible options are: ```LINEAR_INTERPOLATION```, ```NEAREST_SPAN```, ```MATCHING```. ``` -% ---- IDEAL GAS, POLYTROPIC, VAN DER WAALS AND PENG ROBINSON CONSTANTS -------% -% -% Fluid model (STANDARD_AIR, IDEAL_GAS, VW_GAS, PR_GAS, -% CONSTANT_DENSITY, INC_IDEAL_GAS, INC_IDEAL_GAS_POLY) -FLUID_MODEL= PR_GAS -% -% Ratio of specific heats (1.4 default and the value is hardcoded -% for the model STANDARD_AIR, compressible only) -GAMMA_VALUE= 1.01767 -% -% Specific gas constant (287.058 J/kg*K default and this value is hardcoded -% for the model STANDARD_AIR, compressible only) -GAS_CONSTANT= 35.17 -% -% Critical Temperature (131.00 K by default) -CRITICAL_TEMPERATURE= 565.3609 -% -% Critical Pressure (3588550.0 N/m^2 by default) -CRITICAL_PRESSURE= 1437500 -% -% Acentric factor (0.035 (air)) -ACENTRIC_FACTOR= 0.524 +MIXINGPLANE_INTERFACE_KIND= LINEAR_INTERPOLATION +``` +To make the mixing-plane turbulent, the following option must be used: +``` +TURBULENT_MIXINGPLANE= YES ``` -In addition, the models for transport coefficients can also be customized by exploring the viscosity and thermal conductivity options. By default with compressible flow, the laminar viscosity is governed by Sutherland’s law, and the thermal conductivity is assumed to depend on a constant Prandtl number. However, in the case of the Peng-Robinson-Stryjek-Vera equation of state (`PR_GAS`), the `CONSTANT_VISCOSITY` and `CONSTANT_CONDUCTIVITY` options are the only available. The values of the dynamic viscosity and thermal conductivity are imposed by entering the values for `MU_CONSTANT` and `KT_CONSTANT`. +![Non-reflective mixing-plane](../../../tutorials_files/compressible_flow/Aachen_Turbine/images/SingleMesh_Adiabatic_Giles_MixingPlane.png) +Figure (5): Non-reflective mixing-plane +To turn on the non-reflective behaviour, the following entry should be provided: +``` +SPATIAL_FOURIER = YES +``` +If needed, extra under relaxation factor for the Giles BC at the hub and shroud can be provided as follows: +``` +GILES_EXTRA_RELAXFACTOR = (0.05, 0.05) ``` -% --------------------------- VISCOSITY MODEL ---------------------------------% -% -% Viscosity model (SUTHERLAND, CONSTANT_VISCOSITY, POLYNOMIAL_VISCOSITY). -VISCOSITY_MODEL= CONSTANT_VISCOSITY -% -% Molecular Viscosity that would be constant (1.716E-5 by default) -MU_CONSTANT= 1.21409E-05 -% --------------------------- THERMAL CONDUCTIVITY MODEL ----------------------% -% -% Laminar Conductivity model (CONSTANT_CONDUCTIVITY, CONSTANT_PRANDTL, -% POLYNOMIAL_CONDUCTIVITY). -CONDUCTIVITY_MODEL= CONSTANT_CONDUCTIVITY -% -% Molecular Thermal Conductivity that would be constant (0.0257 by default) -KT_CONSTANT= 0.030542828 +Finally, the kind of average process for linearizing the Navier-Stokes equation at inflow and outflow boundaries, including mixing-plane(s), can be controlled by ```AVERAGE_PROCESS_KIND```. Possible options are: ```ALGEBRAIC```, ```AREA```, ```MASSSFLUX```, ```MIXEDOUT```. The default one is ```AREA```.\ +The following box shows the setting to be used for the current case. + +``` +AVERAGE_PROCESS_KIND= MIXEDOUT ``` -Characteristics-based Riemann boundary conditions are imposed on the INFLOW and OUTFLOW boundaries. -The parameters specified in the config excerpt below are: -- Label of the inflow boundary -- Type of input specified on the inflow boundary. For this test case, total pressure and temperature are specified. -- Total pressure [Pa] -- Total temperature [K] -- Inlet Flow Direction, unit vector (x,y,z) = (1.0, 0.0, 0.0) -- Label of the outflow boundary -- Type of input specified on the outflow boundary. For this test case, static pressure is specified -- Static pressure on the outflow boundary [Pa] +#### Shroud boundary condition +The ```MARKER_SHROUD``` allows to specify the mesh boundaries belonging to the shroud, as those highlighted in dark red in Figure 6. +When a boundary is tagged as part of the shroud, its grid velocity components are set to 0, mimicking the physical behaviour of a shroud wall. Only rotating zones, such as a rotor, are affected. +The following box shows the syntax to enforce this functionality. ``` -% Riemann boundary marker(s) (NONE = no marker) -% Format: (marker, data kind flag, list of data) -MARKER_RIEMANN= ( INFLOW, TOTAL_CONDITIONS_PT, 904388, 542.13, 1.0, 0.0, 0.0, OUTFLOW, STATIC_PRESSURE, 200000, 0.0, 0.0, 0.0, 0.0 ) +MARKER_SHROUD = (SHROUD1, SHROUD2, SHROUD3) ``` -In this test case, CFL adaptation is employed to accelerate convergence to steady state. Within this procedure, the CFL value at each iteration is determined based on the residual value at the current and previous iteration, as *CFL = CFL * (residual_old / residual_new)^power*. The value of *power* is given by the parameters `factor down` or `factor up` provided at the entry `CFL_ADAPT_PARAM`. The value of *power* is chosen depending on whether *residual_new* is greater or lower than the *residual_old*. The user can choose to only increase the CFL by setting the first entry of `CFL_ADAPT_PARAM` to `0`. +![Shroud boundary condition](../../../tutorials_files/compressible_flow/Aachen_Turbine/images/SingleMesh_shroud.png) +Figure (6): Shroud boundary condition +#### Wall functions +The guarantee an easy upload and transfer of the mesh file, as well as low computational cost, a particularly coarse mesh, featuring large $y^{+}$ values, was used. Therefore, to achieve convergence of the present calculation, wall functions are needed. These can be activated by the ```MARKER_WALL_FUNCTIONS```, followed by the ```marker_tag``` of the boundaries to which the wall functions will be applied. +The following box shows the basic syntax to active the wall functions for the current case. ``` -% CFL number (initial value for the adaptive CFL number) -CFL_NUMBER= 10.0 -% -% Adaptive CFL number (NO, YES) -CFL_ADAPT= YES +% format: +% MARKER_WALL_FUNCTIONS = (MARKER_TAG, STANDARD_WALL_FUNCTION) + +MARKER_WALL_FUNCTIONS= ( BLADE1, STANDARD_WALL_FUNCTION, + BLADE2, STANDARD_WALL_FUNCTION, + BLADE3, STANDARD_WALL_FUNCTION, + HUB1, STANDARD_WALL_FUNCTION, + SHROUD1, STANDARD_WALL_FUNCTION, + HUB2, STANDARD_WALL_FUNCTION, + SHROUD2, STANDARD_WALL_FUNCTION, + HUB3, STANDARD_WALL_FUNCTION, + SHROUD3, STANDARD_WALL_FUNCTION) + +WALLMODEL_KAPPA= 0.41 +WALLMODEL_B= 5.5 +WALLMODEL_MINYPLUS= 5.0 +WALLMODEL_MAXITER= 200 +WALLMODEL_RELFAC= 0.5 +``` + + +#### Ramps + +To ease the convergence of turbomachinery cases, particularly when the pressure ratio of the machine is large, the use of ramps can be beneficial. These can be applied to both rotational speed and outlet pressure via ```RAMP_OUTLET_PRESSURE``` and ```RAMP_ROTATING_FRAME```. \ +For the sake of the , the use of the outlet pressure ramp is demonstrated. + +the following box shows the setting to enable + +``` +% Specify ramp option for Outlet pressure (YES, NO) default NO +RAMP_OUTLET_PRESSURE= YES % -% Parameters of the adaptive CFL number (factor down, factor up, CFL min value, -% CFL max value ) -CFL_ADAPT_PARAM= ( 0.1, 2.0, 10.0, 1000.0 ) +% Parameters of the outlet pressure ramp (starting outlet pressure, updating-iteration-frequency, total number of iteration for the ramp) +RAMP_OUTLET_PRESSURE_COEFF= (140000.0, 150.0, 2000) ``` -For this test case, we chose the Roe upwind scheme with 2nd-order reconstruction (`MUSCL_FLOW = YES`). Note that, in order to activate the slope limiter for the upwind methods, `SLOPE_LIMITER_FLOW` must be set to something other than `NONE`. For turbulent convective and viscous fluxes, the default schemes are the scalar upwind method and the corrected average-of-gradients method, respectively. Convective fluxes are computed here to 1st-order (`MUSCL_TURB= NO`). + + + +#### Turbo Performance and Analysis +To have SU2_CFD computing the typical turbomachinery performance indexes, the turbomachinery layout and machine kind must be specified by means of ```TURBOMACHINERY_KIND``` and ```TURBO_PERF_KIND```. The former lets you specify whether the machine is axial, centripetal, centrifugal, etc., while the latter lets you specify whether the machine is a compressor or a turbine. These data must be specified for each zone of which the machine is made up of. + +Additionally, the inlet and outlet boundary to each zone must be specified in stream-wise order via the ```MARKER_TURBOMACHINERY```, as well as the inlet and the outlet boundaries of the full machine via the ```MARKER_ANALYZE```. + +Finally, the performance averaging method, i.e. AREA, MASSSFLUX, MIXEDOUT, etc., must be specified via the ```PERFORMANCE_AVERAGE_PROCESS_KIND```. In case the MIXEDOUT option is selected, the parameters for the Newton method used for the mixed out process can be specified via ```MIXEDOUT_COEFF```. + +The following box summarizes the setup for the Turbo Performance and Analysis of the current case. ``` -% ----------- SLOPE LIMITER AND DISSIPATION SENSOR DEFINITION -----------------% +% Specify kind of architecture (AXIAL, CENTRIPETAL, CENTRIFUGAL, CENTRIPETAL_AXIAL) +TURBOMACHINERY_KIND= AXIAL AXIAL AXIAL + +TURBO_PERF_KIND= (TURBINE, TURBINE, TURBINE) + +MARKER_TURBOMACHINERY= (INFLOW_STATOR1, OUTFLOW_STATOR1, + INFLOW_ROTOR, OUTFLOW_ROTOR, + INFLOW_STATOR2, OUTFLOW_STATOR2) + +MARKER_ANALYZE = (INFLOW_STATOR1, OUTFLOW_STATOR2) + +% (ALGEBRAIC, AREA, MASSSFLUX, MIXEDOUT) default AREA +PERFORMANCE_AVERAGE_PROCESS_KIND= MIXEDOUT + +%Parameters of the Newton method for the MIXEDOUT average algorithm (under relaxation factor, tolerance, max number of iterations) +MIXEDOUT_COEFF= (1.0, 1.0E-05, 15) +``` + + +#### Plotting + +You can choose which boundaries to include in the surface flow file written by SU2_CFD via ```MARKER_PLOTTING`` and XXXXXXXXXX. +The following box shows the setting to export the three blade surfaces to the surface flow solution file. + +``` +% Marker(s) of the surface in the surface flow solution file +MARKER_PLOTTING= (BLADE1, BLADE2, BLADE3) +MARKER_MONITORING= (BLADE1, BLADE2, BLADE3) +``` + + +### Configuration File Options +The initialization of the flow solver can be performed from thermodynamic quantities, directly with `INIT_OPTION=TD_CONDITIONS`. it is recommended that you always confirm the resulting initialization state in the console output during runtime of SU2 that is reported just before the solver begins iterating. +The initialization options are specified in the following box. + +``` +% Free-stream pressure (101325.0 N/m^2 by default, only Euler flows) +FREESTREAM_PRESSURE= 140000.0 +% +% Free-stream temperature (273.15 K by default) +FREESTREAM_TEMPERATURE= 300.0 +% +% Free-stream temperature (1.2886 Kg/m3 by default) +FREESTREAM_DENSITY= 1.7418 +% +% Free-stream option to choose if you want to use Density (DENSITY_FS) or Temperature TEMPERATURE_FS) to initialize the solution +FREESTREAM_OPTION= TEMPERATURE_FS +% +% Free-stream Turbulence Intensity +FREESTREAM_TURBULENCEINTENSITY = 0.025 % -% Monotonic Upwind Scheme for Conservation Laws (TVD) in the flow equations. -% Required for 2nd order upwind schemes (NO, YES) -MUSCL_FLOW= YES +% Free-stream Turbulent to Laminar viscosity ratio +FREESTREAM_TURB2LAMVISCRATIO = 100.0 % -% Slope limiter (NONE, VENKATAKRISHNAN, VENKATAKRISHNAN_WANG, -% BARTH_JESPERSEN, VAN_ALBADA_EDGE) -SLOPE_LIMITER_FLOW= NONE % -% Monotonic Upwind Scheme for Conservation Laws (TVD) in the turbulence equations. -% Required for 2nd order upwind schemes (NO, YES) -MUSCL_TURB= NO +%Init option to choose between Reynolds (default) or thermodynamics quantities for initializing the solution (REYNOLDS, TD_CONDITIONS) +INIT_OPTION= TD_CONDITIONS ``` ### Running SU2 -The nozzle simulation is relatively small and will execute quickly on a single workstation or laptop. This case will be run in serial. To run this test case, follow these steps at a terminal command line: +To run this test case, the standard procedure can be followed. At a terminal command line: -1. 1. Move to the directory containing the config file (NICFD_nozzle.cfg) and the mesh file (NICFD_nozzle.su2). Make sure that the SU2 tools were compiled, installed, and that their install location was added to your path. +1. Move to the directory containing the config files (Aachen_Turbine.cfg, stator1.cfg, rotor.cfg, stator2.cfg) and the mesh (Aachen_Turbine.su2) file. Make sure that the SU2 tools were compiled, installed, and that their install location was added to your path. 2. Run the executable by entering in the command line: ``` - $ SU2_CFD NICFD_nozzle.cfg + $ SU2_CFD Aachen_Turbine.cfg ``` 3. SU2 will print residual updates with each iteration of the flow solver, and the simulation will terminate after reaching the specified convergence criteria. -4. Files containing the results will be written upon exiting SU2. The flow solution can be visualized in ParaView (.vtk) or Tecplot (.dat for ASCII). +4. Files containing the results will be written upon exiting SU2. The flow solution can be visualized in ParaView (.vtk) or Tecplot (.dat for ASCII), depending on the user requirements in the config file. ### Results -Results are given here for the SU2 solution of supersonic non-ideal compressible flow in the converging-diverging nozzle. As part of this tutorial, a coarse mesh was provided, but for comparison, results obtained by using a refined mesh (80,223 elements and 80,840 points) as well as experimental results are shown. -The figures below compare pressure and Mach number trends along the nozzle axis obtained from SU2 flow solutions and experimental data. Numerical results agree with the experimental data from the TROVA wind tunnel. +Figure 7a and b show the relative Mach number distributions on a cylindrical cut slicing the flow domain at approximately mid-span. The resulting cylindrical surface is presented in Fig. 7a, while it 2D planar counter part is shown in Fig.7b for an easier visualization. + +To compute it the following steps can be take in a post-processing tool, such as Tecplot or ParaView: + +1. Compute Radius $R$, angualr coordinate $\theta$, and their product $R \cdot \theta$ + +2. Compute the relative velocity components and the relative Mach number + +3. Slice the flow volume at $R = const$ and plot the relative Mach number on the corresponding iso-surface at $R = const$ (Fig. 7a) + +3. Extract the slice -![NICFD nozzle results A](../../tutorials_files/compressible_flow/NICFD_nozzle/images/nozzle_geometry_schlieren.png) -![NICFD nozzle results B](../../tutorials_files/compressible_flow/NICFD_nozzle/images/Pressure_SU2_experiments.png) -![NICFD nozzle results C](../../tutorials_files/compressible_flow/NICFD_nozzle/images/Mach_SU2_experiments.png) +4. Plot the relative Mach number contour of the extracted slice in a 2D space $(R \cdot \theta$ vs $z)$ and reverse the Z-axis, Fig. 7b. -Figure (2): (a) Geometry of the test section and schlieren image of the nozzle flow. (b, c) Comparison Pressure (b) and Mach number (c) profiles of the experimental results of Spinelli *et al* (black dots with error bars) against SU2 computational results for the test case mesh (red lines) and a reference fine mesh (blue lines). +![Midspan Relative Mach number](../../../tutorials_files/compressible_flow/Aachen_Turbine/images/Full_View_MachContour.png) +![2D Relative Mach number blade-to-blade view](../../../tutorials_files/compressible_flow/Aachen_Turbine/images/2D_MidSpan_RelMach.png) +Figure (7): (a) Relative Mach number contour on a cylindrical cut (blade-to-blade view) at midspan of the turbine flow domain; (b) planar (blade-to-blade) view of the cylindrical cut. diff --git a/tutorials_files/compressible_flow/Aachen_Turbine/images/2D_MidSpan_RelMach.png b/tutorials_files/compressible_flow/Aachen_Turbine/images/2D_MidSpan_RelMach.png new file mode 100644 index 0000000000000000000000000000000000000000..538c5e14528a49e9699b43acf3a10e6b59d259f8 GIT binary patch literal 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Subject: [PATCH 3/6] minor changes --- .../compressible_flow/Aachen_Turbine/Aachen_Turbine.md | 10 +++++++--- 1 file changed, 7 insertions(+), 3 deletions(-) diff --git a/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md b/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md index 6fb51932..6697266c 100644 --- a/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md +++ b/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md @@ -3,13 +3,13 @@ title: Aachen turbine stage with Mixing-plane permalink: /tutorials/Aachen_Turbine/ written_by: Alessandro Cappiello for_version: 8.1.0 -revised_by: xxxx +revised_by: @joshkellyjak revision_date: xxx -revised_version: xxx +revised_version: 8.1.0 solver: RANS requires: SU2_CFD complexity: advanced -follows: +follows: compressible flow tutorials --- ![Mid-span Rel. Mach](../../../tutorials_files/compressible_flow/Aachen_Turbine/images/FullAnnulus_MachContour.png) @@ -354,6 +354,10 @@ FREESTREAM_TURB2LAMVISCRATIO = 100.0 INIT_OPTION= TD_CONDITIONS ``` +#### Final Remarks + +To have the residuals exported to each volume zone `WRT_ZONE_HIST` should be set to `YES`. + ### Running SU2 To run this test case, the standard procedure can be followed. At a terminal command line: From 4a100a43b462aa63e130b5b7366f926f8336e85d Mon Sep 17 00:00:00 2001 From: alecappiello <a.cappiello@tudelft.nl> Date: Fri, 6 Dec 2024 16:14:50 +0100 Subject: [PATCH 4/6] small changes --- .../Aachen_Turbine/Aachen_Turbine.md | 13 ++++++------- 1 file changed, 6 insertions(+), 7 deletions(-) diff --git a/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md b/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md index 6697266c..f86c6431 100644 --- a/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md +++ b/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md @@ -17,7 +17,7 @@ follows: compressible flow tutorials ## Goals Upon completing this tutorial, the user will become familiar with 3D steady-state RANS calculations of multi-row axial turbines, elaborating viscous, compressible flows of air, modelled as an ideal gas. -The solution will provide a flow field that can be compared against experimental data. +The solution will provide a flow field that can be compared against experimental data. However, to achieve a meaningful result, much more refined grids should be used. The geometry chosen for the tutorial is a 1-1/2 axial turbine stage (stator 1 - rotor - stator 2), from Gallus, H. E., et al. "*Endwall and Unsteady Flow Phenomena in an Axial Turbine Stage.*" ASME. J. Turbomach. October 1995; 117(4): 562–570. https://doi.org/10.1115/1.2836568. @@ -77,7 +77,7 @@ Figure (1): Computational domain reduction. ### Mesh Description The mesh is composed of hexahedral elements, with 53634 elements for stator 1 passage, 67935 elements for the rotor passage and 52374 for stator 2 passage. -Upon preparing the mesh, it is important to make sure that the machine axis is the Z-axis and that the flow proceeds in the positive z-direction. +*Upon preparing the mesh, it is important to make sure that the machine axis is the Z-axis and that the flow proceeds in the positive z-direction.* ### Multizone Config File @@ -165,7 +165,7 @@ The following box presents the corresponding syntax. % Format inlet: ( marker, TOTAL_CONDITIONS_PT, Total Pressure , Total Temperature, Flow dir-norm, Flow dir-tang, Flow dir-span, under-relax-avg, under-relax-fourier) -(INFLOW_STATOR1, TOTAL_CONDITIONS_PT, 153846.05, 308.26, 1.0, 0.0, 0.0, 0.3, 0.0) +(INFLOW_STATOR1, TOTAL_CONDITIONS_PT, 158245.38, 308.26, 1.0, 0.0, 0.0, 0.3, 0.0) % Format outlet: @@ -214,9 +214,9 @@ TURBULENT_MIXINGPLANE= YES ![Non-reflective mixing-plane](../../../tutorials_files/compressible_flow/Aachen_Turbine/images/SingleMesh_Adiabatic_Giles_MixingPlane.png) Figure (5): Non-reflective mixing-plane -To turn on the non-reflective behaviour, the following entry should be provided: +To turn on the non-reflective behaviour, the `SPATIAL_FOURIER` should be set to `YES`. However, for the current tutorial it is not activated, as in the following box. ``` -SPATIAL_FOURIER = YES +SPATIAL_FOURIER = NO ``` If needed, extra under relaxation factor for the Giles BC at the hub and shroud can be provided as follows: ``` @@ -316,13 +316,12 @@ MIXEDOUT_COEFF= (1.0, 1.0E-05, 15) #### Plotting -You can choose which boundaries to include in the surface flow file written by SU2_CFD via ```MARKER_PLOTTING`` and XXXXXXXXXX. +You can choose which boundaries to include in the surface flow file written by SU2_CFD via ```MARKER_PLOTTING```. The following box shows the setting to export the three blade surfaces to the surface flow solution file. ``` % Marker(s) of the surface in the surface flow solution file MARKER_PLOTTING= (BLADE1, BLADE2, BLADE3) -MARKER_MONITORING= (BLADE1, BLADE2, BLADE3) ``` From 6f90fa06c4193bd2a794bd067c7b3471ba3af944 Mon Sep 17 00:00:00 2001 From: alecappiello <a.cappiello@tudelft.nl> Date: Mon, 9 Dec 2024 18:32:25 +0100 Subject: [PATCH 5/6] correction to the local coordinate system at the giles inlet boundary --- _tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md b/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md index f86c6431..785fcb39 100644 --- a/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md +++ b/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md @@ -154,7 +154,7 @@ Non-reflective boundary conditions can be enforced by means of the ```MARKER_GILES``` boundary. They can be used for both inlet-outlet, as well as mixing-plane boundaries. Furthermore, under-relaxation factors can be provided both for the average and Fourier components at any boundary where the Giles boundary condition is used. ##### Inlet and outlet boundaries -The ```TOTAL_CONDITIONS_PT``` option allows to enforce the total inlet condition on a chosen boundary (identified by its marker). These include pressure and temperature, together with the incoming flow direction, expressed via its components in cylindrical coordinates. +The ```TOTAL_CONDITIONS_PT``` option allows to enforce the total inlet condition on a chosen boundary (identified by its marker). These include pressure and temperature, together with the incoming flow direction, expressed via its local coordinates (normal, tangential and radial to the chosen boundary). The ```STATIC_PRESSURE_1D``` can be used to enforce the outlet static pressure value on a boundary where the flow is in radial equilibrium. These two options are applied to the inlet and outlet surfaces of the domain, respectively, highlighted in light blue in Figure 4. The following box presents the corresponding syntax. From e67d24e6c8924c5cfbcea5e2968a851a78469a07 Mon Sep 17 00:00:00 2001 From: alecappiello <a.cappiello@tudelft.nl> Date: Mon, 16 Dec 2024 12:34:19 +0100 Subject: [PATCH 6/6] change author handle --- _tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md b/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md index 785fcb39..2dc17f12 100644 --- a/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md +++ b/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md @@ -1,7 +1,7 @@ --- title: Aachen turbine stage with Mixing-plane permalink: /tutorials/Aachen_Turbine/ -written_by: Alessandro Cappiello +written_by: @alecappiello for_version: 8.1.0 revised_by: @joshkellyjak revision_date: xxx

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