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Article

Louda, Petr ; Kozel, Karel ; Příhoda, Jaromír
On using artificial compressibility method for solving turbulent flows. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 163-172
MSC: 65M08, 76D05, 76F25, 76M12 | MR 3204409 | Zbl 1313.76027
Keywords:
artificial compressibility method; steady and unsteady flow; Navier-Stokes equations; incompressible viscous laminar and turbulent flow; dual time stepping method
Summary:
In this work, artificial compressibility method is used 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. The methods are tested on laminar flow around circular cylinder and used to simulate turbulent unsteady flows by URANS approach. The simulated cases are synthetic jet and flow in a branched channel.
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