Stability and boundary resolution analysis of the discontinuous Galerkin method applied to the Reynolds-averaged Navier-Stokes equations using the Spalart-Allmaras model. (English) Zbl 1273.76272
Summary: The use of a high-order discontinuous Galerkin/interior penalty method for the Reynolds’ averaged Navier-Stokes computation, based on the Spalart-Allmaras model, of compressible turbulent flows is investigated. In particular different stabilizations of the iterative process are compared and discussed, including a new definition for the penalty parameter. Based on grid convergence analysis for the flat plate boundary layer, as a function of interpolation order, element type (triangle, quadrangle) on the one hand and grid spacing and stretching on the other, clear guidelines on the choice for boundary layer resolution for practical applications are provided.
MSC:
76M10 | Finite element methods applied to problems in fluid mechanics |
65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
35Q30 | Navier-Stokes equations |
76D05 | Navier-Stokes equations for incompressible viscous fluids |