Quick finite volume solver for incompressible Navier-Stokes equation by parallel Gram-Schmidt process based GMRES and HSS. Issue 5 (6th July 2015)

• Record Type: Journal Article
• Authors: Zhao, Di
• Is Part Of: Engineering computations. Volume 32:Issue 5(2015)
• Page Start: 1460
• Page End: 1476
• Publication Date: 2015-07-06
• Subjects: Computer-aided engineering -- Periodicals; Computer graphics -- Periodicals; 620.00285
• DOI: 10.1108/EC-02-2014-0032
• Languages: English
• ISSNs: 0264-4401

Abstract

<abstract> <title> <x content-type="archive" xml:space="preserve">Abstract</x> </title> <sec> <title content-type="abstract-heading">Purpose</title> <p> – The purpose of this paper is to develop Triple Finite Volume Method (tFVM), the author discretizes incompressible Navier-Stokes equation by tFVM, which leads to a special linear system of saddle point problem, and most computational efforts for solving the linear system are invested on the linear solver GMRES. </p> </sec> <sec> <title content-type="abstract-heading">Design/methodology/approach</title> <p> – In this paper, by recently developed preconditioner Hermitian/Skew-Hermitian Separation (HSS) and the parallel implementation of GMRES, the author develops a quick solver, HSS-pGMRES-tFVM, for fast solving incompressible Navier-Stokes equation. </p> </sec> <sec> <title content-type="abstract-heading">Findings</title> <p> – Computational results show that, the quick solver HSS-pGMRES-tFVM significantly increases the solution speed for saddle point problem from incompressible Navier-Stokes equation than the conventional solvers. </p> </sec> <sec> <title content-type="abstract-heading">Originality/value</title> <p> – Altogether, the contribution of this paper is that the author developed the quick solver, HSS-pGMRES-tFVM, for fast solving incompressible Navier-Stokes equation.</p> </sec> </abstract>