Towards implicit subgrid-scale modeling by particle methods

Stefan Hickel (1) , Lisl Weynans (2) , Nikolas A. Adams (1) , Georges-Henri Cottet (3)

1 AER - Institute of Aerodynamics and Fluid Mechanics
2 IMB - Institut de Mathématiques de Bordeaux
3 EDP - Equations aux Dérivées Partielles

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.

Mots clés: vortex methods; implicit large-eddy simulation; subgrid-scale modeling

Domaines: Analyse numérique [math.NA]

Stefan Hickel, Lisl Weynans, Nikolas A. Adams, Georges-Henri Cottet. Towards implicit subgrid-scale modeling by particle methods. ESAIM: Proceedings, 2007, 16, pp.77-88. ⟨10.1051/proc:2007014⟩. ⟨hal-00354744⟩