Preconditioning Techniques for Nonsymmetric Linear Systems in the Computation of Incompressible Flows-Reference-Cited by-同舟云学术

Preconditioning Techniques for Nonsymmetric Linear Systems in the Computation of Incompressible Flows

Published:2009-01-14 Issue:2 Volume:76 Page:
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Manguoglu Murat¹,Sameh Ahmed H.¹,Saied Faisal²,Tezduyar Tayfun E.³,Sathe Sunil³

Affiliation:

1. Department of Computer Science, Purdue University, 305 North University Street, West Lafayette, IN 47907

2. Computing Research Institute, Purdue University, Room 202, 250 North University Street, West Lafayette, IN 47907

3. Mechanical Engineering, Rice University, MS 321, 6100 Main Street, Houston, TX 77005

Abstract

In this paper we present effective preconditioning techniques for solving the nonsymmetric systems that arise from the discretization of the Navier–Stokes equations. These linear systems are solved using either Krylov subspace methods or the Richardson scheme. We demonstrate the effectiveness of our techniques in handling time-accurate as well as steady-state solutions. We also compare our solvers with those published previously.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/doi/10.1115/1.3059576/5477842/021204_1.pdf

Reference52 articles.

1. Parallel Finite-Element Computation of 3D Flows;Tezduyar;Computer

2. Massively Parallel Finite Element Simulation of Compressible and Incompressible Flows;Tezduyar;Comput. Methods Appl. Mech. Eng.

3. Massively Parallel Finite Element Computation of Incompressible Flows Involving Fluid-Body Interactions;Mittal;Comput. Methods Appl. Mech. Eng.

4. Parallel Finite Element Simulation of 3D Incompressible Flows: Fluid-Structure Interactions;Mittal;Int. J. Numer. Methods Fluids

5. Advanced Mesh Generation and Update Methods for 3D Flow Simulations;Johnson;Comput. Mech.

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