A Quadtree-Adaptive Multigrid Solver for the Serre-Green-Naghdi Equations

Wednesday, October 15, 2014 - 10:15am - 11:05am
Lind 305
Stéphane Popinet (Université de Paris VI (Pierre et Marie Curie))
The Serre-Green-Naghdi (SGN) equations, also known as the fully nonlinear Boussinesq wave equations, are known to accurately describe a wide range of waves and in particular shoaling waves for which dispersive effects cannot be neglected. I will show how this model can be solved in a simple way using the combination of a robust, well-balanced existing Saint-Venant solver with the multigrid solution of the SGN equations. Using the Basilisk framework ( this simple implementation automatically generalises to adaptive quadtree grids which allows efficient large-scale simulation of, for example, dispersive tsunami waves.
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