International Journal for Numerical Methods in Fluids · 2004 · 68 citations · 15 references
Numerical AnalysisFinite Element MethodNumerical Method For Partial Differential EquationEngineeringNumerical SolutionFluid MechanicsSemi-implicit MethodNumerical SimulationDiscontinuous Galerkin MethodScalar Convection–diffusion EquationNavier-stokes EquationsComputational MechanicsNavier–stokes EquationsBoundary Element MethodStabilization TermsBoundary Penalty Terms
Abstract The paper deals with the use of the discontinuous Galerkin finite element method (DGFEM) for the numerical solution of viscous compressible flows. We start with a scalar convection–diffusion equation and present a discretization with the aid of the non‐symmetric variant of DGFEM with interior and boundary penalty terms. We also mention some theoretical results. Then we extend the scheme to the system of the Navier–Stokes equations and discuss the treatment of stabilization terms. Several numerical examples are presented. Copyright © 2004 John Wiley & Sons, Ltd.
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