Finite Volume Approximation of the Linearized Shallow Water Equations in Hyperbolic Mode
نویسندگان
چکیده
Abstract. In this article, we consider the linearized inviscid shallow water equations in space dimension two in a rectangular domain. We implement a finite volume discretization and prove the numerical stability and convergence of the scheme for three cases that depend on the background flow ũ0, ṽ0, and φ̃0 (subor super-critical flow at each part of the boundary). The three cases that we consider are fully hyperbolic modes.
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