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A slope modification method for shallow water equations
Author(s) -
Rao V. Subba,
Latha G.
Publication year - 1992
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650140206
Subject(s) - shallow water equations , total variation diminishing , solver , waves and shallow water , scheme (mathematics) , mathematics , geometry , geology , mathematical analysis , mathematical optimization , oceanography
A slope modification method is proposed for non‐oscillatory schemes based on the Lax‐Friedrich solver. The modified scheme is proved to be total‐variation‐diminishing (TVD) and second‐order accurate. Application of the scheme to the shallow water equations produces sharp profiles for shocks and achieves high accuracy in the smooth regions of the solution.