A PETROV-GALERKIN FORMULATION FOR INCOMPRESSIBLE-FLOW AT HIGH REYNOLDS-NUMBER

A mixed finite element method was applied to solve a set of elliptic p artial differential equations which corresponds to steady-state incomp ressible laminar how. To obtain stable solutions at high Reynolds numb ers, the Petrov-Galerkin finite element method was used to discretize the advective flux terms with a biquadratic velocity-bilinear pressure element. A priori knowledge of the M-matrix has been used as an under lying guide to enhance the solution stability. The main impetus and ef fort involve designing a test space of an exponential type. The test c ases considered and the results obtained show that the proposed Petrov -Galerkin method is highly reliable and applicable to a wide range of flow conditions.