On the solution of linear algebraic systems arising from the semi-implicit DFGE discretization of the compressible Navier-Stokes equations

Title:

On the solution of linear algebraic systems arising from the semi-implicit DFGE discretization of the compressible Navier-Stokes equations

Creator:

Dolejší, Vít

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:c6927837-77fc-482e-b041-b6a7cd0840e6
uuid:c6927837-77fc-482e-b041-b6a7cd0840e6

Subject:

discontinuous Galerkin method, compressible Navier-Stokes equations, linear algebra probelms, preconditioning, stopping criterion, and choice of the time step

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We deal with the numerical simulation of a motion of viscous compressible fluids. We discretize the governing Navier-Stokes equations by the backward difference formula - discontinuous Galerkin finite element (BDF-DGFE) method, which exhibits a sufficiently stable, efficient and accurate numerical scheme. The BDF-DGFE method requires a solution of one linear algebra system at each time step. In this paper, we deal with these linear algebra systems with the aid of an iterative solver. We discuss the choice of the preconditioner, stopping criterion and the choice of the time step and propose a new strategy which leads to an efficient and accurate numerical scheme.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[260]-280

Source:

Kybernetika | 2010 Volume:46 | Number:2

Harvested from:

CDK

Metadata only:

false