Icosahedral Shallow Water Model (ICOSWM): results of shallow water test cases and sensitivity to model parameters

A Shallow Water Spectral Wave Model

A shallow water spectral wave prediction model based on a numerical solution of the radiative transfer equation is presented. The model is second generation and uses a simple yet effective representation for the nonlinear source term. In addition, the model pays particular attention to the shallow water processes of refraction, shoaling, bottom friction, and wave breaking. The flexibility of th...

A Discontinuous Galerkin Global Shallow Water Model

A discontinuous Galerkin shallow water model on the cubed sphere is developed, thereby extending the transport scheme developed by Nair et al. The continuous flux form nonlinear shallow water equations in curvilinear coordinates are employed. The spatial discretization employs a modal basis set consisting of Legendre polynomials. Fluxes along the element boundaries (internal interfaces) are app...

Parallel Hopscotch Method for Shallow Water Equations 1 Shallow Water Model

Shallow water equations arise in many scientiic applications, for example climate modeling. The numerical solution of such equations requires a very large amount of computation which is suitable for parallelization. The odd-even Hopscotch method is parallelizable and is applied to solve this problem. Our aim is to investigate the performance of the method implemented on the virtual shared memor...

A coupled numerical solution to the shallow water-Hirano model

An accurate model of wave refraction over shallow water

A computer model of wave refraction is desirable, in the context of landscape modeling, to generate the familiar wave patterns seen near coastlines. In this article, we present a new method for the calculation of shallow water wave refraction. The method is more accurate than previously existing methods and provides realistic wave refraction effects. We resort to Fermat’s principle of the short...