Semi-implicit discontinuous Galerkin method for the solution of the compressible Navier-Stokes equations

Semi-implicit discontinuous Galerkin method for the solution of the compressible Navier-Stokes equations

Dolejsi, V.
Hozman, J.

2006-09-05

We deal with a numerical solution of the compressible Navier-Stokes equations with the aid of higher order schemes. We employ a combination of the discontinuous Galerkin finite element method for the space semi-discretization and a backward difference formula for the time discretization. Moreover, using a linearization of inviscid as well as viscous fluxes and applying a suitable explicit extrapolation for nonlinear terms we have to solve only a linear algebraic problem at each time step. Then we obtain an efficient numerical scheme which is almost unconditionaly stable and has a higher degree of approximation with respect to the space and time coordinates. Several numerical examples are presented.

compressible Navier-Stokes equations
discontinuous Galerkin method
backward di®erence formulae
semi-implicit scheme

http://resolver.tudelft.nl/uuid:8f3592e4-a7b0-4145-8af4-1490de239ec1

Conference proceedings

conference paper

(c) 2006 Dolejsi, V.; Hozman, J.