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Implementation of compressible porous-fluid coupling method in an aerodynamics and aeroacoustics code. I: Laminar flow. (English) Zbl 1433.76152
Summary: The problem of coupling compressible viscous flow in free stream and a porous medium into one solver is addressed in this work. A single-domain compressible Darcy-Forchheimer model extended from the Navier-Stokes equation is developed for this purpose. The set of governing equations accounting for mass conservation and momentum and energy balance is first presented for the coupling method, followed by implementation details within a finite-volume framework. Steady numerical simulations focus on two classical problems: porous plug flow and the Beavers and Joseph problem. Both are successfully performed, demonstrating the feasibility and capability of this approach. An unsteady problem of flow over a square porous cylinder is then modeled; and results are compared with those from the existing literature, demonstrating the accuracy of the method for unsteady cases.

##### MSC:
 76Q05 Hydro- and aero-acoustics 76M12 Finite volume methods applied to problems in fluid mechanics 65M08 Finite volume methods for initial value and initial-boundary value problems involving PDEs 76G25 General aerodynamics and subsonic flows 76S05 Flows in porous media; filtration; seepage
AUSM; OpenMPI
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