Abstract We deal with the numerical solution of the compressible Navier-Stokes equations with the aid of the discontinuous Galerkin method. The space semi-discretization leads to a stiff system of ordinary differential equations. In order to accelerate a convergence to the steady-state solution we employ the semi-implicit time discretization which leads to the solution of linear algebra system at each time level. We focus on the solution of the arising linear algebra systems and propose a new efficient strategy for the steady-state solutions. The efficiency is demonstrated by a set of numerical experiments.
Semi-implicit Time Discretization of the Discontinuous Galerkin Method for the Navier-Stokes Equations
ADIGMA - A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications ; 2 ; 243-255
01.01.2010
13 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Discontinuous Galerkin Method , Iterative Solver , Interior Penalty , GMRES Method , Inexact Newton Method Engineering , Engineering Fluid Dynamics , Astronomy, Astrophysics and Cosmology , Classical Continuum Physics , Aerospace Technology and Astronautics , Appl.Mathematics/Computational Methods of Engineering , Numerical and Computational Physics
An Implicit Discontinuous Galerkin Method for the Unsteady Compressible Navier-Stokes Equations
British Library Conference Proceedings | 2009
|