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Asymptotic Preserving Finite Volume Schemes for the Singularly-perturbed Shallow Water Equations with Source Terms
The shallow water equations are of quite an importance for modelling oceanic flows as a simple approximation of the water wave equations, which describe the gravity-driven free surface flows, when the fluid is incompressible, homogeneous, inviscid, and the pressure is only hydrostatic, owing to the shallowness assumption, that is the …