A fast unsmoothed aggregation algebraic multigrid framework for the large-scale simulation of incompressible flow

Han Shao, Libo Huang, Dominik L. Michels

Research output: Contribution to journalArticlepeer-review

Abstract

Multigrid methods are quite efficient for solving the pressure Poisson equation in simulations of incompressible flow. However, for viscous liquids, geometric multigrid turned out to be less efficient for solving the variational viscosity equation. In this contribution, we present an Unsmoothed Aggregation Algebraic MultiGrid (UAAMG) method with a multi-color Gauss-Seidel smoother, which consistently solves the variational viscosity equation in a few iterations for various material parameters. Moreover, we augment the OpenVDB data structure with Intel SIMD intrinsic functions to perform sparse matrix-vector multiplications efficiently on all multigrid levels. Our framework is 2.0 to 14.6 times faster compared to the state-of-the-art adaptive octree solver in commercial software for the large-scale simulation of both non-viscous and viscous flow.
Original languageEnglish (US)
Pages (from-to)1-18
Number of pages18
JournalACM Transactions on Graphics
Volume41
Issue number4
DOIs
StatePublished - Jul 22 2022

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design

Fingerprint

Dive into the research topics of 'A fast unsmoothed aggregation algebraic multigrid framework for the large-scale simulation of incompressible flow'. Together they form a unique fingerprint.

Cite this