Finite Volume Multilevel Approximation of the Shallow Water Equations

Abstract

The authors consider a simple transport equation in one-dimensional space and the linearized shallow water equations in two-dimensional space, and describe and implement a multilevel finite-volume discretization in the context of the utilization of the incremental unknowns. The numerical stability of the method is proved in both cases.

Keywords

Finite-volume methods / Multilevel methods / Shallow water equations / Stability analysis

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