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Shallow water problems: A general explicit formulation
Author(s) -
Peraire J.,
Zienkiewicz O. C.,
Morgan K.
Publication year - 1986
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620220305
Subject(s) - computation , shallow water equations , exploit , waves and shallow water , mathematics , flow (mathematics) , oscillation (cell signaling) , computer science , mathematical optimization , algorithm , mathematical analysis , geology , geometry , oceanography , computer security , biology , genetics
We present in this paper a general formulation for shallow water equations which is capable of solving problems of induced harbour oscillation, tidal flow, tsunami propagation, dispersion of pollutant, etc. The shallow water equations are written in a novel fully conservative form. The solution algorithm is based on an explicit time integration procedure which exploits the conservative properties of the governing equations and incorporates accurate treatment of convective terms without introduction of artificial damping. Its accuracy and low cost of computation make it attractive vis ‐à‐ vis existing procedures.