A Cut‐Cell Geometric Multigrid Poisson Solver for Fluid Simulation. (May 2015)

• Record Type: Journal Article
• Authors: Weber, Daniel; Mueller‐Roemer, Johannes; Stork, André; Fellner, Dieter
• Is Part Of: Computer graphics forum. Volume 34:Number 2(2015)
• Page Start: 481
• Page End: 491
• Publication Date: 2015-05
• Subjects: Computer graphics -- Periodicals; 006.605
• DOI: 10.1111/cgf.12577
• Languages: English
• ISSNs: 0167-7055

Abstract

<abstract abstract-type="main"> <title>Abstract</title> <p>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.</p> </abstract>