A SUBGRID VISCOSITY LAGRANGE-GALERKIN METHOD FOR CONVECTION-DIFFUSION PROBLEMS

作者：Bermejo Rodolfo^*; Galan Del Sastre Pedro; Saavedra Laura

来源：International Journal of Numerical Analysis and Modeling, 2014, 11(2): 288-302.

• Subgrid viscosity
• Lagrange-Galerkin
• finite elements
• convection-diffusion-reaction problems

We present and analyze a subgrid viscosity Lagrange-Galerkin method that combines the subgrid eddy viscosity method proposed in W. Layton, A connection between subgrid at eddy viscosity and mixed methods. Appl. Math. Comp., 133: 147-157, 2002, and a conventional Lagrange-Galerkin method in the framework of P-1 circle plus cubic bubble finite elements. This results in an efficient and easy to implement stabilized method for convection dominated convection-diffusion-reaction problems. Numerical experiments support, the numerical analysis results and show that the new method is more accurate than the conventional Lagrange-Galerkin one.

• 出版日期2014