On the Development of an Implicit Discontinuous Galerkin Solver for Turbulent Real Gas Flows

The aim of this work is to describe an efficient implementation cubic and multiparameter real gas models in existing discontinuous Galerkin solver extend its capabilities the simulation turbulent flows. adopted thermodynamic are van der Waals, Peng–Robinson, Span–Wagner, which differ from each other terms accuracy computational cost. Convective numerical fluxes across elements interfaces calculated with a consistent linearized Riemann solver, whereas for boundary conditions, expression generalized invariants employed. Transport properties treated as temperature- density-dependent quantities through correlations. An implicit time integration adopted; Jacobian matrix derivatives obtained automatic differentiation tool Tapenade. assessed by computing both steady unsteady test cases available literature, effect mesh size polynomial degree approximation on solution investigated. A good agreement experimental reference data observed specific non-classical phenomena well reproduced solver.