Large-Eddy Simulations With a Multiple-Relaxation-Time Lbe Model

Abstract

We include Smagorinsky's algebraic eddy viscosity approach into the multiple-relaxationtime (MRT) lattice Boltzmann equation (LBE) for large-eddy simulations (LES) of turbulent flows. The main advantage of the MRT-LBE model over the popular lattice BGK model is a significant improvement of numerical stability which leads to a substantial reduction of oscillations in the pressure field, especially for turbulent flow simulations near the numerical stability limit. The MRT-LBE model for LES is validated with a benchmark case of a surface mounted cube in a channel at Re = 40 000. Our preliminary results agree well with experimental data.

Efficient Simulation of Transient Heat Transfer Problems in Civil Engineering

“…as previously shown by (Krafczyk et al, 2003). Consequently, the molecular and turbulent viscosities can be added to form a total viscosity ν total = ν 0 + ν T which substitutes the material property by a space and time-dependent quantity.…”

“…In the context of lattice Boltzmann, the LES approach has first been used by (Hou et al, 1994) in 2D and in (Krafczyk et al, 2003) in 3D. As an inherent property of the LBE scheme, components of the momentum flux tensor, here expressed in terms of moments,…”

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“…A Smagorinsky large eddy model (LES) captures turbulent structures in the flow, including an additional turbulent viscosity ν T for the effects of unresolved sub-grid eddies [9]. Since after the advection step, the incoming particle distribution functions at the domain boundaries are missing, they are reconstructed with the help of boundary conditions.…”

Implementation of a curved wall- and an absorbing open-boundary condition for the D3Q19 lattice Boltzmann method for simulation of incompressible fluid flows

“…The unresolved physical scales of turbulent motion by the governing equation need to capture by using an appropriate turbulence model. Many researchers have investigated the LBM in conjunction with Large-Eddy Simulation (LES) approach to develop a suitable combination for simulation of the turbulent flows [23,[25][26][27]. By using this approach, the large-scale flow is solved exactly by the distribution function f and the influence of small-scale eddies is modeled through the computing of eddy viscosity t  .…”