Well-balanced finite volume evolution Galerkin methods for the shallow water equations with source terms

Medviďová-Lukáčová, MáriaMáriaMedviďová-LukáčováVlk, ZdenekZdenekVlk2006-02-142006-02-142004-04Preprint. Published in:Numerical Methods in Fluids (2005) 47, H. 10-11, S. 1165–1171http://tubdok.tub.tuhh.de/handle/11420/121The goal of this paper is to present a new well-balanced genuinely multidimensional high-resolution finite volume evolution Galerkin method for systems of balance laws. The derivation of the method will be illustrated for the shallow water equation with geometrical source term modelling the bottom topography. The results can be generalized to more complex systems of balance lawsenhttp://rightsstatements.org/vocab/InC/1.0/well-balanced methodsfinite volume evolution Galerkin schemesshallow water equationstrully multidimensional finite volume methodsMathematikWell-balanced finite volume evolution Galerkin methods for the shallow water equations with source termsPreprint2006-02-17urn:nbn:de:gbv:830-opus-177810.15480/882.119EvolutionsoperatorGalerkin-MethodeErhaltungssatzMagnetohydrodynamics and electrohydrodynamics11420/12110.1002/fld.85510.15480/882.119930768066Other