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An Arbitrary High Order Well-Balanced ADER-DG Numerical Scheme for the Multilayer Shallow-Water Model with Variable Density
Guerrero Fernández, Ernesto; Castro-Díaz, Manuel Jesús; Dumbser, Michael; Morales-de-Luna, Tomás (Springer, 2021-12-17)In this work, we present a novel numerical discretization of a variable pressure multilayer shallow water model. The model can be written as a hyperbolic PDE system and allows the simulation of density driven gravity ... -
New hyperbolic models and numerical algorithms for Newtonian and general relativistic continuum physics
Dumbser, Michael (2019-07-04)We present arbitrary high order (ADER) finite volume and discontinuous Galerkin finite element schemes for the numerical solution of a new unified first order symmetric hyperbolic and thermodynamically compatible (SHTC) ...