21 citations · 21 across the 3 of their papers we have counts for
3 papers
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…
Extrapolated Shock Tracking: Bridging shock-fitting and embedded boundary methods
Mirco Ciallella, Mario Ricchiuto, Renato Paciorri +1
We propose a novel approach to approximate numerically shock waves. The method combines the unstructured shock-fitting approach developed in the last decade by some of the authors,…
A spectral element solution of the Poisson equation with shifted boundary polynomial corrections: influence of the surrogate to true boundary mapping and an asymptotically preserving Robin formulation
Jens Visbech, Allan Peter Engsig-Karup, Mario Ricchiuto
We present a new high-order accurate spectral element solution to the two-dimensional scalar Poisson equation subject to a general Robin boundary condition. The solution is based o…