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fomics edited this page Oct 11, 2018 · 3 revisions

Overview

The Poisson problem arising from large-scale N-body problems coupled with Maxwell's equations in the electrostatic limit represents an accuracy and efficiency bottleneck in simulations of neighbouring bunch effects in high intensity cyclotrons. Standard particle-in-cell models are not able to capture the tiny effects between bunches without wasting memory in regions of void due to the uniformity of the fine mesh. Block-structured adaptive mesh refinement algorithms are a suitable method to overcome this issue. Their hierarchy of levels and grids is applied to solve Poisson's equation using an adaptive geometric multgrid algorithm implemented with Trilinos.

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