The aim of this work is to contribute to the development of a high-order accurate discretization that is entropy conserving and entropy stable both in space and in time. To do this, the general framework is based on a high-order accurate discontinuous Galerkin (dG) method in space with entropy working variables, several entropy conservative and stable numerical fluxes and an entropy conserving modified Crank-Nicolson method. We present the first results, obtained with the discretizations here proposed, for two bi-dimensional unsteady viscous test-case: The Taylor-Green vortex and the double shear layer.
FULLY-DISCRETE ENTROPY CONSERVING/STABLE DISCONTINUOUS GALERKIN SOLVER FOR UNSTEADY COMPRESSIBLE VISCOUS FLOWS / Colombo, A.; Crivellini, A.; Nigro, A.. - (2022). [10.23967/eccomas.2022.008]
FULLY-DISCRETE ENTROPY CONSERVING/STABLE DISCONTINUOUS GALERKIN SOLVER FOR UNSTEADY COMPRESSIBLE VISCOUS FLOWS
Crivellini A.;Nigro A.
2022-01-01
Abstract
The aim of this work is to contribute to the development of a high-order accurate discretization that is entropy conserving and entropy stable both in space and in time. To do this, the general framework is based on a high-order accurate discontinuous Galerkin (dG) method in space with entropy working variables, several entropy conservative and stable numerical fluxes and an entropy conserving modified Crank-Nicolson method. We present the first results, obtained with the discretizations here proposed, for two bi-dimensional unsteady viscous test-case: The Taylor-Green vortex and the double shear layer.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
