Title :
A Fast Preconditioned Iterative Solver for Unsteady Incompressible Flow Problems
Author :
Jia Liu ; Lina Wu
Author_Institution :
Dept. of Math. & Stat., Univ. of West Florida, Pensacola, FL, USA
Abstract :
This paper is concerned with the solution of unsteady incompressible flow problems using Marker and Cell finite difference discretizations and preconditioned Krylov subspace methods. Our emphasis is on the preconditioner that can be thought of a new splitting of the discretized equations. The preconditioner we focus on is the variation from the Hermitian and Skew-Hermitian (HSS) Splitting preconditioner. Such an preconditioner for the unsteady Oseen (linearized Navier -- Stokes) problems in two or three dimensions are described and experimentally compared.
Keywords :
Navier-Stokes equations; computational fluid dynamics; finite difference methods; flow instability; iterative methods; Krylov subspace methods; cell finite difference discretization; discretized equation splitting; fast preconditioned iterative solver; linearized Navier-Stokes problem; marker finite difference discretization; skew-Hermitian splitting preconditioner; unsteady Oseen problem; unsteady incompressible flow problems; unsteady incompressible flow solution; Convergence; Educational institutions; Equations; Linear systems; Mathematical model; Sparse matrices; Viscosity; fluid dynamics; iterative methods; precondiitoning;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2013 Fifth International Conference on
Conference_Location :
Shiyang
DOI :
10.1109/ICCIS.2013.244
