论文信息 - SOLUTION OF THREE-DIMENSIONAL CONVECTION-DIFFUSION PROBLEMS USING TETRAHEDRAL ELEMENTS AND FLOW-ORIENTED UPWIND INTERPOLATION FUNCTIONS

SOLUTION OF THREE-DIMENSIONAL CONVECTION-DIFFUSION PROBLEMS USING TETRAHEDRAL ELEMENTS AND FLOW-ORIENTED UPWIND INTERPOLATION FUNCTIONS

A numerical method for three-dimensional elliptic convection-diffusion problems is presented. The formulation is based on four-node tetrahedral elements and flow-oriented interpolation functions that respond appropriately to an element Peclet number and the direction of the element-average velocity vector. A control-Volume approach is used to derive the discretization equations. The method has been applied successfully to several test problems.

B. Rabi Baliga | B. R. Baliga | Barbara LeDain Muir

[1] Wing Kam Liu,et al. Finite Element Analysis of Incompressible Viscous Flows by the Penalty Function Formulation , 1979 .

[2] O. C. Zienkiewicz,et al. Quadratic finite element schemes for two-dimensional convective-transport problems , 1977 .

[3] B. R. Baliga,et al. A NEW FINITE-ELEMENT FORMULATION FOR CONVECTION-DIFFUSION PROBLEMS , 1980 .

[4] S. Patankar. Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[5] O. C. Zienkiewicz,et al. An ‘upwind’ finite element scheme for two‐dimensional convective transport equation , 1977 .

[6] O. Zienkiewicz. The Finite Element Method In Engineering Science , 1971 .

[7] George D. Raithby,et al. IMPROVED FINITE-DIFFERENCE METHODS BASED ON A CRITICAL EVALUATION OF THE APPROXIMATION ERRORS , 1979 .

[8] G. D. Raithby,et al. Skew upstream differencing schemes for problems involving fluid flow , 1976 .