356 citations · 4.2k across the 89 of their papers we have counts for
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An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous flow with surface tension
Simone Chiocchetti, Micheal Dumbser
In this paper, we present a semi-implicit numerical solver for a first order hyperbolic formulation of two-phase flow with surface tension and viscosity. The numerical method addre…
Continuous finite element subgrid basis functions for Discontinuous Galerkin schemes on unstructured polygonal Voronoi meshes
Walter Boscheri, Michael Dumbser, Elena Gaburro
We propose a new high order accurate nodal discontinuous Galerkin (DG) method for the solution of nonlinear hyperbolic systems of partial differential equations (PDE) on unstructur…
Exact and numerical solutions of the Riemann problem for a conservative model of compressible two-phase flows
Ferdinand Thein, Evgeniy Romenski, Michael Dumbser
In this work we study the solution of the Riemann problem for the barotropic version of the conservative symmetric hyperbolic and thermodynamically compatible (SHTC) two-phase flow…