Comparison of some flux corrected transport and total variation diminishing numerical schemes for hydrodynamic and magnetohydrodynamic problems

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. (C) 1996 Academic Press, Inc.