An assessment of discretizations for convection-dominated convection-diffusion equations

作者：Augustin Matthias; Caiazzo Alfonso; Fiebach Andre; Fuhrmann Juergen; John Volker^*; Linke Alexander; Umla Rudolf

来源：Computer Methods in Applied Mechanics and Engineering, 2011, 200(47-48): 3395-3409.

DOI：10.1016/j.cma.2011.08.012

• Dominating convection
• Exponentially fitted finite volume scheme
• Stabilized finite element methods
• Hemker problem

The performance of several numerical schemes for discretizing convection-dominated convection-diffusion equations will be investigated with respect to accuracy and efficiency. Accuracy is considered in measures which are of interest in applications. The study includes an exponentially fitted finite volume scheme, the Streamline-Upwind Petrov-Galerkin (SUPG) finite element method, a spurious oscillations at layers diminishing (SOLD) finite element method, a finite element method with continuous interior penalty (CIP) stabilization, a discontinuous Galerkin (DG) finite element method, and a total variation diminishing finite element method (FEMTVD). A detailed assessment of the schemes based on the Hemker example will be presented.

• 出版日期2011