A Cut-Cell Geometric Multigrid Poisson Solver for Fluid Simulation
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Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and John Wiley & Sons Ltd.
Abstract
We present a novel multigrid scheme based on a cut-cell formulation on regular staggered grids which generates compatible systems of linear equations on all levels of the multigrid hierarchy. This geometrically motivated formulation is derived from a finite volume approach and exhibits an improved rate of convergence compared to previous methods. Existing fluid solvers with voxelized domains can directly benefit from this approach by only modifying the representation of the non-fluid domain. The necessary building blocks are fully parallelizable and can therefore benefit from multi- and many-core architectures.
Description
@article{10.1111:cgf.12577,
journal = {Computer Graphics Forum},
title = {{A Cut-Cell Geometric Multigrid Poisson Solver for Fluid Simulation}},
author = {Weber, Daniel and Mueller-Roemer, Johannes and Stork, André and Fellner, Dieter W.},
year = {2015},
publisher = {The Eurographics Association and John Wiley & Sons Ltd.},
DOI = {10.1111/cgf.12577}
}