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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 ... -
High order well balanced numerical methods for a multilayer shallow-water model with variable density
Guerrero Fernández, Ernesto (UMA Editorial, 2022)En esta tesis se desarrollan algunas contribuciones novedosas en el marco de los modelos de aguas someras multicapas y en esquemas numéricos de alto orden bien equilibrados. En primer lugar, se deriva un modelo multicapa ...