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A STUDY OF WELL-BALANCED FINITE VOLUME METHODS AND REFINEMENT INDICATORS FOR THE SHALLOW WATER EQUATIONS

Part of: Basic methods in fluid mechanics Partial differential equations, initial value and time-dependent initial-boundary value problems Partial differential equations, boundary value problems Incompressible inviscid fluids

Published online by Cambridge University Press:  04 September 2013

SUDI MUNGKASI
SUDI MUNGKASI*
Affiliation:
Department of Mathematics, Sanata Dharma University, Mrican, Tromol Pos 29, Yogyakarta 55002, Indonesia email [email protected] Mathematical Sciences Institute, The Australian National University, Canberra, ACT 0200, Australia email [email protected]
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Abstract

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Keywords

finite volume methodsdam breakdebris avalancheCarrier–Greenspan solutionnumerical entropy productionweak local residualsadaptive mesh refinementshallow water equations

MSC classification

Secondary: 65M08: Finite volume methods 65N08: Finite volume methods 76B15: Water waves, gravity waves; dispersion and scattering, nonlinear interaction 76M12: Finite volume methods
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 88 , Issue 2 , October 2013 , pp. 351 - 352
Copyright
Copyright ©2013 Australian Mathematical Publishing Association Inc. 

References

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