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**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 |

### Keywords:

large eddy simulation; turbulent flows; multi-dimensional external flows; Navier-Stokes equations; three-step finite element method; boundary element method
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\textit{D. L. Young} et al., Eng. Anal. Bound. Elem. 30, No. 7, 564--576 (2006; Zbl 1195.76211)

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