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Numerical solution of 2D and 3D viscous incompressible steady and unsteady flows using artificial compressibility method. (English) Zbl 1151.76019
Summary: We use artificial compressibility method to solve steady and unsteady flows of viscous incompressible fluid. The method is based on implicit higher-order upwind discretization of Navier-Stokes equations. The extension for unsteady simulation is considered by increasing artificial compressibility parameter or by using dual time stepping. Turbulence models are eddy-viscosity SST model and explicit algebraic Reynolds stress model. Results are presented for steady turbulent flow over confined backward-facing step, unsteady laminar flow around circular cylinder and for unsteady turbulent free synthetic jet.

##### MSC:
 76M12 Finite volume methods applied to problems in fluid mechanics 76D05 Navier-Stokes equations for incompressible viscous fluids 76F10 Shear flows and turbulence
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##### References:
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