Discontinuous Galerkin method for the simulation of 3D viscous compressible
 flows

 Martin Holik

 
 We deal with the numerical solution of the 3D compressible Navier-Stokes
 equations. We employ a combination of the discontinuous Galerkin finite element
 method for the space semi-discretization and backward difference formulae for
 the time discretization. Linearization of inviscid as well as viscous fluxes and
 an application of a suitable explicit extrapolation to nonlinear terms, lead us
 to a system of linear algebraic equations at each time step. We obtain an
 efficient numerical scheme which has a higher degree of approxiamtion with
 respect to the space and time coordinates. For practical computation is used C++
 based program COOLFluiD which is briefly described in this paper.