A finite element model based on triangular mesh for convectiondominated stationary flows
Keywords:
FEM, convection dominated, stationary flows, triangular meshAbstract
The fluctuation distribution method is presented in this work to deal with the convection terms of the general transport equation. The fluctuation represents the convective surface exchange within an element. The solution method consists of defining numerical schemes to distribute this fluctuation. To that end, we introduce a new variable to rewrite the variational formulation with linear triangular element and weighted functions appropriately selected. The method is found to be accurate with minimum of dispersion or diffusion in the vicinity of the discontinuity. This method is interesting because there are no parameters to choose and can be an alternative to the famous streamline upwind Petrov–Galerkin method.
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