turbulent flow in 2-d domains with complex geometry-finite elelment method

using the highly recommended numerical techniques, a finite element computer code is developed to analyse the steady incompressible, laminar and turbulent flows in 2-d domains with complex geometry. the petrov-galerkin finite element formulation is adopted to avoid numerical oscillations. turbulence is modeled using the two equation k-ω model. the discretized equations are written in the form of a set of nonlinear equations by block implicit method and are then linearized by the newton-raphson method. the set of linearized equations are, finally, solved through frontal method. this generates a full implicit solution. a few laminar and turbulent flow sample problems are solved using the code. results obtained are in perfect agreement with those obtained from numerical and experimental works reported in the literature.