Abstract We deal with the numerical solution of the system of the compressible (laminar) Navier-Stokes equations with the aid of the discontinuous Galerkin method. Particularly, we employ the so-called interior penalty Galerkin (IPG) discretizations, namely symmetric, non-symmetric and incomplete variants. We described the space semi-discretization and discuss the choice of stabilization terms. Then a set of numerical experiments, demonstrating the stability, convergence and accuracy of the method are presented.
IPG Discretizations of the Compressible Navier-Stokes Equations
01.01.2010
13 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Blasius Problem , Interior Penalty , Discontinuous Galerkin Method , Anisotropic Mesh Adaptation , Symmetric Interior Penalty Astronomy, Astrophysics and Cosmology , Classical Continuum Physics , Engineering , Aerospace Technology and Astronautics , Engineering Fluid Dynamics , Appl.Mathematics/Computational Methods of Engineering , Numerical and Computational Physics