Towards implicit subgrid-scale modeling by particle methodsS. Hickel1, L. Weynans2, N.A. Adams3 and G.-H. Cottet4
1 Institute of Aerodynamics, Technische Universität München, D-85747 Garching, Germany.
2 CEA-DIF, BP 12 91680 Bruyéres-le-Châtel, France.
3 Institute of Aerodynamics, Technische Universität München, D-85747 Garching, Germany.
4 LMC-IMAG, Université Joseph Fourier, BP 53 Grenoble Cédex 9 , France.
(Published online: 2 March 2007)
The numerical truncation error of vortex-in-cell methods is analyzed a-posteriori through the effective spectral numerical viscosity for simulations of three-dimensional isotropic turbulence. The interpolation kernels used for velocity-smoothing and re-meshing are identified as the most relevant components affecting the shape of the spectral numerical viscosity as a function of wave number. A linear combination of well-known standard kernels leads to new kernels assigned to the specific use for implicit large-eddy simulation of turbulent flows, i.e. their truncation errors acts as subgrid-scale model. Numerical results are provided to show the potential and drawbacks of the approach.
Key words: vortex methods, implicit large-eddy simulation, subgrid-scale modeling
© EDP Sciences, ESAIM 2007