Abstract
In our previous research, the modified Galerkin method (MGM) was proposed as one of the most efficient methods for one-dimensional, two-dimensional and three-dimensional convection-diffusion equations. In the MGM, the non-symmetric matrixes, which are derived from the convection term in the Galerkin formulation, are not used, and an artificial viscosity is introduced through the error analysis approach to improve its discretization accuracy in both time and space directions. In this study, this MGM is applied for two-dimensional viscous fluid flow analysis, and the driven cavity flow problems are solved up to the Reynolds number of 10 000 using the vorticity-stream function formulation for non-uniform meshes. The results show the effectiveness of our modified Galerkin method.
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