|
Article information
2003 , Volume 8, Special issue, p.59-71
Kroner D.
Numerics and simulations for convection dominated problems
The most important challenges in numerical simulations consist in the development of codes for new problems, in the improvement of the performance of existing codes and its validation. In this paper I will focus on the second topic. For inviscid compressible and convection dominated flows, in particular for problems from magnetohydrodynamics and for flows through porous media we will demonstrate some tools which are useful for more efficient codes: local grid refinement based on rigorous a posteriori error estimates, artificial boundary conditions for problems in outer domains, higher order schemes, balanced schemes for problems with source terms and relaxation schemes.
Classificator Msc2000:- *65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
- 76E06 Convection
- 76M10 Finite element methods
Keywords: nonlinear conservation law, a posteriori error estimate, discontinuous Galerkin method, absorbing boundary condition
Author(s):
Kroner Dietmar
Office: Institute of Applied Mathematics University of Freiburg
Address: D-79104, Germany, Freiburg, Hermann-Herder-Str. 10,
E-mail: dietmar@mathematik.uni-freiburg.de
Bibliography link:
Kroner D. Numerics and simulations for convection dominated problems // Computational technologies. 2003. V. 8. The Special Issue: Proceedings of the Russian-German Advanced Research Workshop on Computer Science and High Performance Computing, Part 3. P. 59-71
|
|
|
|
