Abstract
This chapter presents a parallel upwind method for three-dimensional laminar and turbulent incompressible flows. The method is applied for simulating the flow over a sphere at different Reynolds numbers. The artificial compressibility formulation is used for coupling the continuity with the momentum equations. The chapter describes how the discretization of the inviscid terms of the Navier-Stokes equations is obtained by a characteristic based method. It uses third order interpolation for the computation of the primitive variables at the cell faces. The time integration is obtained by an explicit Runge-Kutta scheme. The algorithm is parallelized using shared memory and message passing models. The shared memory model provided better efficiency than the message-passing on the Kendall Square Research (KSR1) system. The message passing is based either on local instructions or on parallel virtual machine (PVM). The chapter employs the algebraic Baldwin-Lomax as well as the k-ɛ model for high Reynolds number computations. The k-ɛ model improves the prediction of the pressure coefficient distribution in comparison with the algebraic model.
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