Journal of Computational Physics 128, 82
Paper (PostScript).
Comparison of some Flux Corrected Transport and Total Variation Diminishing Numerical Schemes for Hydrodynamic and Magnetohydrodynamic Problems
Gabor Toth [1], Dusan Odstrcil [2]
- Sterrenkundig Instituut, Utrecht, The Netherlands
- Astronomical Institute, Ondrejov, Czech Republic
Abstract
Two versions of flux corrected transport
and two versions of total variation diminishing schemes are
tested for several one- and two-dimensional hydrodynamic and
magnetohydrodynamic problems. Two of the schemes, YDFCT
and TVDLF are tested extensively for the first time. The results
give an insight into the limitations of the methods, their relative
strengths and weaknesses. Some subtle points of the algorithms
and the effects of selecting different options for certain methods
are emphasised.