A fast linear complementarity problem solver for fluid animation using high level algebra interfaces for GPU libraries. (December 2017)

• Record Type: Journal Article
• Authors: Andersen, Michael; Niebe, Sarah; Erleben, Kenny
• Is Part Of: Computers & graphics. Volume 69(2017)
• Page Start: 36
• Page End: 48
• Publication Date: 2017-12
• Subjects: Fluid animation -- Separating solid wall boundary conditions -- Newton method -- Easy GPU implementation; Computer graphics -- Periodicals; 006.6
• DOI: 10.1016/j.cag.2017.09.006
• Languages: English
• ISSNs: 0097-8493

Abstract

Highlights: A parallel, easy to implement, fluid linear complementarity problem solver is presented. Implementation requires no expert GPU programming experience. Speedup factors of up to 500 are reported. Graphical abstract: Abstract: We address the task of computing solutions for a separating solid wall boundary condition model. We present a parallel, easy to implement, fluid linear complementarity problem solver. All that is needed is the implementation of linear operators, using an existing high-level sparse algebra GPU library. No low-level GPU programming is necessary. This means we can rely on the efficiency of a tried-and-tested library, requiring minimal debugging compared to writing more low level GPU kernels. The solver exploits matrix-vector products as computational building blocks. We block the matrix-vector products in a way that allows us to evaluate the products, without having to assemble the full systems. Our work shows speedup factors ranging up to two orders of magnitudes for larger grid resolutions.