DISCUSSION OF NUMERICAL DEFICIENCY OF APPLYING A PARTIALLY WEIGHTED UPWIND FINITE-ELEMENT MODEL TO INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

The streamline upwind technique is extended to quadratic elements to a nalyze incompressible and viscous flow equations cast in the steady st ate. The Biased part of the weighting functions is devised to achieve a nodally exact discretized one-dimensional equation, with an emphasis on grid nonuniformity. Two classes of upwinding finite-element models are considered. Our primary goal is to address the deficiency of the partially weighted finite-element model. Assessment is made of the sta bility and accuracy of the schemes devised. The integrity of the weigh ting functions chosen and the finite-element models considered is demo nstrated analytically, and their performance is assessed systematicall y.