STREAMLINE UPWIND FULL GALERKIN METHOD FOR SOLUTION OF CONVECTION DOMINATED SOLUTE TRANSPORT PROBLEMS

A new streamline method for the solution of convection-dominated trans port problems is introduced. First, an analysis is made of the nature of classic streamline upwinding from the perspective of space and spac etime solution domains, as they pertain to the nature of the problems. From this analysis emerges a rigorous logic for upwinding, which can easily be implemented in the full (spacetime) Galerkin formulation of the transport equation. Comparative performance testing of this techni que, in solving a number of examples, proves it to be robust and versa tile. The advantage of this method resides in its applicability to a w ider range of Courant numbers.