CARLINO, Michele Giuliano; GABURRO, Elena

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CARLINO, Michele Giuliano
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]

GABURRO, Elena
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]

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Communication dans un congrès

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ICNAAM 2022 - 20th International Conference of Numerical Analysis and Applied Mathematics, 2022-09-19, Heraklion (CR). 2022

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In this work, we propose a second-order accurate scheme for shallow water equations in general covariant coordinates over manifolds. In particular, the covariant parametrization in general covariant coordinates is induced by the metric tensor associated to the manifold. The model is then re-written in a hyperbolic form with a tuple of conserved variables composed both of the evolving physical quantities and the metric coefficients. This formulation allows the numerical scheme to i) automatically compute the curvature of the manifold as long as the physical variables are evolved and ii) numerically study complex physical domains over simple computational domains.< Réduire

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Second Order Finite Volume Scheme for Shallow Water Equations on Manifolds

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