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Analysis of the Effects of Curvature on the Solutions of Shallow Water Equations

The most used form of the Shallow Water Equations doesn't take into account the variation of the curvature of the base flow surface. In this paper, we compare the theoretical and numerical solutions of the standard model and with the solutions of an extended model and for a large class of base flow surfaces. We find that the solution of the standard model is still a good approximation for the extended model for many real life applications.