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IMPLICIT LARGE EDDY SIMULATION OF FLOWS AROUND BODIES OF ARBITRARY SHAPE ON CARTESIAN GRIDS USING A CONSERVATIVE IMMERSED INTERFACE METHOD

M. Meyer
Technische Universitat Munchen, Institute of Aerodynamics, 85747 Garching, Germany

Antoine Devesa
Institute of Aerodynamics, Technische Universitat Munchen, Boltzmannstrasse 15, 85748 Garching, Germany

Stefan Hickel
Institute of Aerodynamics and Fluid Mechanics Technische Universitat Munchen Boltzmannstr. 15, 85748 Garching bei Munchen, Germany; Chair of Computational Aerodynamics Faculty of Aerospace Engineering, TU Delft Kluyverweg 1, 2629 HS Delft, Netherlands

X. Y. Hu
Lehrstuhl fur Aerodynamik, Technische Universitat Munchen 85748 Garching, Germany

Nikolaus A. Adams
Chair of Aerodynamics and Fluid Mechanics, Department of Mechanical Engineering, Technical University of Munich, 85748 Garching bei München, Germany

Resumo

This work presents an immersed interface method for representing complex boundaries in Implicit Large-Eddy Simulation on three-dimensional, staggered Cartesian Grids.
The immersed obstacle in the fluid domain is characterized by a levelset field. Initial flux calculations are carried out for the entire domain in the same way. Cells intersected by the immersed interface then undergo a special treatment: only the fluid part is considered, no-slip condition and no-through- flux condition are imposed by changing the flux balance and a homogeneous Neumann condition for pressure is enforced in the pressure projection. To deal with the small cell problem a cell-mixing procedure is applied. The approach is fully conservative and we demonstrate the method is second-order accurate.
The validation and the performance of the approach are done with some numerical examples of 2D and 3D flow configurations.