We investigate the optimal accuracy of the streamline diffusion finite element method applied to convection–dominated problems. For linear/bilinear elements the theoretical order of convergence given in the literature is either O(h3/2) for quasi–uniform meshes or O(h2) for some uniform meshes. The determination of the optimal order in general was an open problem. By studying a special type of m...

In this work, an innovative numerical algorithm accompanied by considerable accuracy is presented to reduce the computational cost of subsurface flow modeling. This method combines a modified multi-scale finite volume method (MMsFV) and streamline method based on the sequential approach. First, the modified multi-scale finite volume method, which includes a physical adaptation on the localizati...

Two-dimensional steady inviscid flow past an inclined flat plate with a forward-facing flap attached to the rear edge is considered for the case when a vortex sheet separates from the leading edge of the flat plate and reattaches at the leading edge of the flap, with uniform vorticity distributed between the vortex sheet and the body. Solutions are found for a particular geometry and a range of...