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Riemann problem with nonlinear resonance effects and well-balanced Godunov scheme for shallow fluid flow past an obstacle. (English) Zbl 1001.35085
The paper presents a new kind of numerical processing of the source term arising in shallow water systems with an arbitrary bottom topography which is modeled by a linearly degenerated field. Thereby a Godunov scheme is proposed which increases the accuracy and preserves the balance between the source terms and the fluxes.

MSC:
35L65 Hyperbolic conservation laws
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35Q35 PDEs in connection with fluid mechanics
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