A Cut-Cell Geometric Multigrid Poisson Solver for Fluid Simulation

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 r...

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Vydané v:Computer graphics forum Ročník 34; číslo 2; s. 481 - 491
Hlavní autori: Weber, Daniel, Mueller-Roemer, Johannes, Stork, André, Fellner, Dieter
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Oxford Blackwell Publishing Ltd 01.05.2015
Predmet:
Analysis
Categories and Subject Descriptors (according to ACM CCS)
Computational fluid dynamics
Computer graphics
Convergence
Fluid flow
Fluids
Formulations
Hierarchies
I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling-Physically based modeling
I.3.7 [Computer Graphics]: Three-Dimensional Graphics and Realism -Animation
Image processing systems
Mathematical analysis
Simulation
Solvers
Studies
ISSN:0167-7055, 1467-8659
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Popis
Shrnutí: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.
Bibliografia:istex:0DC4638BB66350067588C4E474A94190F834590D
ark:/67375/WNG-H3BJQ5MV-B
ArticleID:CGF12577
Supporting Information
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ObjectType-Feature-1
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ObjectType-Article-1
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ISSN:0167-7055
1467-8659
DOI:10.1111/cgf.12577