## Large eddy simulation of turbulent flows in external flow field using three-step FEM-BEM model.(English)Zbl 1195.76211

Summary: An innovative computational model is presented for the large eddy simulation (LES) modeling of multi-dimensional unsteady turbulent flow problems in external flow field. Based on the LES principles, the model uses a pressure projection method to solve the Navier-Stokes equations in transient condition. The turbulent motion is simulated by Smagorinsky sub-grid scale (SGS) eddy viscosity model. The momentum equation of the flow motion is solved using a three-step finite element method (FEM). The external flow field is simulated using a boundary element method (BEM) by solving a pressure Poisson equation that assumes the pressure as zero at the infinity. Through extracting the boundary effects on a specified finite computational domain, the model is able to solve the infinite boundary value problems. The present model is used to simulate the flows past a two-dimensional square rib and a three-dimensional cube at high Reynolds number. The simulation results are found to be reasonable and comparable with other models available in the literature even for coarse meshes.

### MSC:

 76F65 Direct numerical and large eddy simulation of turbulence 76M10 Finite element methods applied to problems in fluid mechanics 76M15 Boundary element methods applied to problems in fluid mechanics
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### References:

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