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  1. A

    Need help to justify artificial viscosity

    Hi, When solving for example Shallow Water Equations, the system itself is hyperbolic. Usually when dealing with non smooth solutions people add artificial diffusion to the momentum equation. Can anyone suggest papers or book, where they explain why it helps and why we can consider such...
  2. A

    Finite element method for shallow water equations

    Hello, I am trying to solve the shallow water equations using finite element method. Can anyone explain me how to treat nonlinear term in the Galerkin equation? so for example in the equation for the velocity we will have the term u\nabla v where u and v are the velocity components. For...