Weber, Daniel ; Mueller-Roemer, Johannes ; Stork, André ; Fellner, Dieter W. (2015)
A Cut-Cell Geometric Multigrid Poisson Solver for Fluid Simulation.
In: Computer Graphics Forum, 34 (2)
doi: 10.1111/cgf.12577
Artikel, Bibliographie
Kurzbeschreibung (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.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2015 |
| Autor(en): | Weber, Daniel ; Mueller-Roemer, Johannes ; Stork, André ; Fellner, Dieter W. |
| Art des Eintrags: | Bibliographie |
| Titel: | A Cut-Cell Geometric Multigrid Poisson Solver for Fluid Simulation |
| Sprache: | Englisch |
| Publikationsjahr: | 2015 |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Computer Graphics Forum |
| Jahrgang/Volume einer Zeitschrift: | 34 |
| (Heft-)Nummer: | 2 |
| DOI: | 10.1111/cgf.12577 |
| Kurzbeschreibung (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. |
| Freie Schlagworte: | Business Field: Virtual engineering, Research Area: (Interactive) simulation (SIM), Object modeling, 3D Animation, Physically based simulation, Linear systems, Multigrid |
| Fachbereich(e)/-gebiet(e): | 20 Fachbereich Informatik 20 Fachbereich Informatik > Graphisch-Interaktive Systeme |
| Hinterlegungsdatum: | 06 Mai 2019 10:00 |
| Letzte Änderung: | 04 Feb 2022 12:39 |
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