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Two-dimensional dispersion analyses of finite element approximations to the shallow water equations
2004
International Journal for Numerical Methods in Fluids
Dispersion analysis of discrete solutions to the shallow water equations has been extensively used as a tool to deÿne the relationships between frequency and wave number and to determine if an algorithm leads to a dual wave number response and near 2 x oscillations. In this paper, we explore the application of two-dimensional dispersion analysis to cluster based and Galerkin ÿnite element-based discretizations of the primitive shallow water equations and the generalized wave continuity equation
doi:10.1002/fld.701
fatcat:yabuvofrnvgthiooxmpum2b3xm