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math.NA2024
Discontinuous Galerkin schemes for hyperbolic systems in non-conservative variables: quasi-conservative formulation with subcell finite volume corrections
Elena Gaburro, Walter Boscheri, Simone Chiocchetti +1
We present a novel quasi-conservative arbitrary high order accurate ADER discontinuous Galerkin (DG) method allowing to efficiently use a non-conservative form of the considered pa…
math.NA2024
Numerical Simulation of Phase Transition with the Hyperbolic Godunov-Peshkov-Romenski Model
Pascal Mossier, Steven Jöns, Simone Chiocchetti +2
In this paper, a thermodynamically consistent solution of the interfacial Riemann problem for the first-order hyperbolic continuum model of Godunov, Peshkov and Romenski (GPR model…
math.NA2024★ 4 cited
High order well-balanced Arbitrary-Lagrangian-Eulerian ADER discontinuous Galerkin schemes on general polygonal moving meshes
Elena Gaburro
In this work, we present a novel family of high order accurate numerical schemes for the solution of hyperbolic partial differential equations (PDEs) which combines several geometr…