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# A Two-Dimensional Version of the Godunov Scheme for Scalar Balance Laws

@article{Gosse2014ATV, title={A Two-Dimensional Version of the Godunov Scheme for Scalar Balance Laws}, author={Laurent Gosse}, journal={SIAM J. Numerical Analysis}, year={2014}, volume={52}, pages={626-652} }

- Published 2014 in SIAM J. Numerical Analysis
DOI:10.1137/130925906

A Godunov scheme is derived for two-dimensional scalar conservation laws without or with source terms following ideas originally proposed by Boukadida and LeRoux [6] in the context of a staggered Lax-Friedrichs scheme. In both situations, the numerical fluxes are obtained at each interface of a uniform Cartesian computational grid just by means of the “external waves” involved in the entropy solution of the elementary 2d Riemann problems; in particular, all the wave-interaction phenomena is… CONTINUE READING

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