Abstract
We have proposed a new hybrid-streamline-upwind finite-element method, which is based on the finite analytic method developed in the field of the finite difference method, and verified that this method is valid at high Reynolds numbers for unsteady problems using a one-dimensional Burgers equation. In this paper, we will show that this method is valid for steady two-dimensional advection-diffusion problems. Examples demonstrate the effectiveness of this streamline-upwind method for a dual space, excluding both wiggles and spurious crosswind diffusion which afflict some classical upwind schemes. Furthermore we achieve a simple formulation and high-speed calculation using the finite-element method, by combining the advection term and the diffusion term.
