Weakly-Reflective Boundary Conditions for Two-Dimensional Shallow Water Flow Problems
In this paper weakly-reflective boundary conditions are derived for the two-dimensional shallow water equations, including bottom friction and Coriolis force. The essential aspects of the derivation are given. Zeroth and first order approximations are applied to the test problem of an intially Gaussian shaped free surface elevation. For the numerical solution a finite element program is used and various aspect of the numerical implementation are discussed. For small scale practical problems a rather simple (one parameter) formulation might be sufficient. The influence of this parameter is discussed on the weakly-reflectiveness of the boundary condition.
KeywordsReflection Coefficient Coriolis Force Shallow Water Equation Bottom Friction Finite Element Program
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