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Multigrid computation for the two-dimensional shallow water equations

โœ Scribed by Rosa Maria Spitaleri; Lorena Corinaldesi


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
531 KB
Volume
30
Category
Article
ISSN
0362-546X

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Composite schemes are formed by global composition of several Lax -Wendroff steps followed by a diffusive Lax-Friedrichs or WENO step, which filters out the oscillations around shocks typical for the Lax-Wendroff scheme. These schemes are applied to the shallow water equations in two dimensions. The

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A new symmetric formulation of the two-dimensional shallow water equations and a streamline upwind Petrov-Galerkm (SUPG) scheme are developed and tested. The symmetric formulation is constructed by means of a transformation of dependent variables derived fkom the relation for the total energy of the