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A fully-explicit, self-consistent algebraic expression for the Reynolds stress, which is the exact solution to the Reynolds stress transport equation in the `weak equilibrium' limit forâ€¦ (More)

A Galilean invariant weak-equilibrium hypothesis that is sensitive to streamline curvature is proposed. The hypothesis leads to an algebraic Reynolds stress model for curved ows that is fullyâ€¦ (More)

- Sharath S. Girimaji
- Physical review letters
- 2007

We develop a kinetic Boltzmann equation for describing filtered fluid turbulence applicable for continuum and noncontinuum effects. The effect of unresolved turbulent motion on the resolvedâ€¦ (More)

In this paper we consider the application of multiple-relaxation-time (MRT) lattice Boltzmann equation (LBE) for large-eddy simulation (LES) of turbulent flows. The implementation is discussed in theâ€¦ (More)

- Li-Shi Luo, Sharath S. Girimaji
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2002

An a priori derivation of the lattice Boltzmann equations for binary mixtures is provided by discretizing the Boltzmann equations that govern the evolution of binary mixtures. The present model leadsâ€¦ (More)

- Li-Shi Luo, Sharath S. Girimaji
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2003

A two-fluid lattice Boltzmann model for binary mixtures is developed. The model is derived formally from kinetic theory by discretizing two-fluid Boltzmann equations in which mutual collisions andâ€¦ (More)

- Huidan Yu, Li-Shi Luo, Sharath S. Girimaji
- International Journal of Computationalâ€¦
- 2002

We simulate scalar mixing and chemical reactions using the lattice Boltzmann method. Simulations of initially non-premixed binary mixtures yield scalar probability distribution functions that are inâ€¦ (More)

- Gyanendra Kumar, Sharath S. Girimaji, J. Kerimo
- J. Comput. Physics
- 2013

The objective of the paper is to assess the effectiveness of the lattice Boltzmann equation (LBE) as a computational tool for performing direct numerical simulations (DNS) and large-eddy simulationsâ€¦ (More)

- Huidan Yu, Sharath S. Girimaji, Li-Shi Luo
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2005

Decaying homogeneous isotropic turbulence in inertial and rotating reference frames is investigated to evaluate the capability of the lattice Boltzmann method in turbulence. In the inertial frameâ€¦ (More)