Geodesic
Towards implicit subgrid-scale modeling by particle methods
S. Hickel1 ; L. Weynans2 ; N. A. Adams1 ; G.-H. Cottet3
1 Institute of Aerodynamics, Technische Universität München, D-85747 Garching, Germany.
2 CEA-DIF, BP 12 91680 Bruyéres-le-Châtel, France.
3 LMC-IMAG, Université Joseph Fourier, BP 53 Grenoble Cédex 9 , France.
ESAIM. Proceedings, Tome 16 (2007), pp. 77-88.

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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.
DOI : 10.1051/proc:2007014

S. Hickel 1 ; L. Weynans 2 ; N. A. Adams 1 ; G.-H. Cottet 3

1 Institute of Aerodynamics, Technische Universität München, D-85747 Garching, Germany.
2 CEA-DIF, BP 12 91680 Bruyéres-le-Châtel, France.
3 LMC-IMAG, Université Joseph Fourier, BP 53 Grenoble Cédex 9 , France. 
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     author = {S. Hickel and L. Weynans and N. A. Adams and G.-H. Cottet},
     title = {Towards implicit subgrid-scale modeling by particle methods},
     journal = {ESAIM. Proceedings},
     pages = {77--88},
     publisher = {mathdoc},
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     doi = {10.1051/proc:2007014},
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     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:2007014/}
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S. Hickel; L. Weynans; N. A. Adams; G.-H. Cottet. Towards implicit subgrid-scale modeling by particle methods. ESAIM. Proceedings, Tome 16 (2007), pp. 77-88. doi : 10.1051/proc:2007014. http://geodesic.mathdoc.fr/articles/10.1051/proc:2007014/

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