Abstract
The numerical simulation of hypersonic flows past blunt bodies by means of shockcapturing (S-C) solvers is characterized by some critical challenges, including: stagnation point anomalies, spurious numerical oscillations, the carbuncle phenomenon and the reduction of the order of [...]Abstract
In the context of the numerical treatment of convective terms in compressible transport equations, general criteria for linear and quadratic invariants preservation, valid on uniform and non-uniform (Cartesian) meshes, have been recently derived by using a matrix-vector approach, [...]
Abstract
The aim of this work is to model compressible flows involving shock waves past a solid obstacle using a non-conformal mesh. An Immersed Boundary Method (IBM) with feedback forcing and a volume penalization method are considered and compared. Both methods are validated on various [...]
Abstract
We review and compare two techniques to get entropy stability for nodal Discontinuous Galerkin Spectral Element Methods (DG) in compressible flows. One technique is based on entropy split-forms, e.g., [8, 15, 5] and one is based on a direct algebraic correction [1]. We have implemented [...]