Abstract In the following, we describe an explicit discontinuous Galerkin scheme for the compressible Navier-Stokes equations. The scheme is of arbitrary order of accuracy by choosing the polynomial degree of the approximation. It is kept very local so that the solution in each cell only depends on the von Neumann neighbors. Apart from the standard DG framework the computational efficiency is increased by the use of a mixed approach using a modal and a nodal set of basis functions. For the approximation of the viscous fluxes an approximation based on local Riemann solutions is used. At the end we show a high order approximation of the unsteady laminar flow over a NACA0012 profile.
Explicit One-Step Discontinuous Galerkin Schemes for Unsteady Flow Simulations
2010-01-01
13 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Grid Cell , Discontinuous Galerkin Method , Vandermonde Matrix , Nodal Integration , Discontinuous Galerkin Scheme 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
Fast Time Implicit-explicit Discontinuous Galerkin Method for Convection-diffusion Flow Problems
British Library Conference Proceedings | 2012
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