β Scribed by Wilhelm Heinrichs
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π SIMILAR VOLUMES
This paper proposes and studies an algorithm for aligning a triangulation with a given convection ΓΏeld. Approximate solutions of convection-dominated problems on ow-aligned meshes typically have sharper internal layers, less over and undershooting and higher accuracy. The algorithm we present can be
The spectral Lagrange-Galerkin method is a numerical technique for time-dependent convection-diffusion problems based on combining a Lagrangian formulation of the equations with the spectral method. The resulting scheme can be shown to be unconditionally stable for linear advection-diffusion equatio
A collocation method based on multiple regions with moving boundaries placed in a flow field in which convection effects dominate, is proposed. By making the moving boundaries of the regions coincide with moving sharp fronts present in the solution of convection dominated problems, and thereby allow
## It has been noted repeatedly in computational fluid mechanics literature that upwindfacing "essential" boundary condition poses difficulty for the Galerkin finite element method (and central difference method). Essentially three main remedies have been proposed to correct the spurious "wiggles"