# Entropic Lattice Boltzmann Method for Large Scale Turbulence Simulation

@article{Karlin2003EntropicLB, title={Entropic Lattice Boltzmann Method for Large Scale Turbulence Simulation}, author={Iliya V. Karlin and Santosh Ansumali and Elisabetta De Angelis and Hans Christian Ottinger and Sauro Succi}, journal={arXiv: Statistical Mechanics}, year={2003} }

Recently, a minimal kinetic model for fluid flow, known as entropic lattice Boltzmann method, has been proposed for the simulation of isothermal hydrodynamic flows. At variance with previous Lattice Boltzmann methods, the entropic version permits to describe the non-linear dynamics of short scales in a controlled and stable way. In this paper, we provide the first numerical evidence that the entropic lattice Boltzmann scheme provides a quantitatively correct description of the large-scale…

## 9 Citations

### Entropic multi-relaxation time lattice Boltzmann model for complex flows

- PhysicsJournal of Fluid Mechanics
- 2016

Entropic lattice Boltzmann methods were introduced to overcome the stability issues of lattice Boltzmann models for high Reynolds number turbulent flows. However, to date their validity has been…

### Simulation of turbulent flows with the entropic multirelaxation time lattice Boltzmann method on body-fitted meshes

- PhysicsJournal of Fluid Mechanics
- 2018

We propose a body-fitted mesh approach based on a semi-Lagrangian streaming step combined with an entropy-based collision model. After determining the order of convergence of the method, we analyse…

### Stability and stabilization of the lattice Boltzmann method.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2007

It is proven that in order to guarantee second-order accuracy the distribution should belong to a distinguished surface--the invariant film (up to second order in the time step) which is the trajectory of the (quasi)equilibrium distribution surface under free flight.

### Stability and stabilisation of the lattice Boltzmann method: Magic steps and salvation operations

- Physics
- 2006

We revisit the classical stability versus accuracy dilemma for the lattice Boltzmann methods (LBM). Our goal is a stable method of second-order accuracy for ﬂuid dynamics based on the lattice…

### Geometry of irreversibility : The lm of nonequilibrium states

- Physics
- 2003

A general geometrical framework of nonequilibrium thermodynamics is developed. The notion of macroscopically de nable ensembles is developed. The thesis about macroscopically de nable ensembles is…

### Geometry of irreversibility: The film of nonequilibrium states

- Physics
- 2002

A general geometrical framework of nonequilibrium thermodynamics is developed. The notion of macroscopically definable ensembles is developed. The thesis about macroscopically definable ensembles is…

### Invariance correction to Grad’s equations: where to go beyond approximations?

- Mathematics
- 2005

We review some recent developments of Grad’s approach to solving the Boltzmann equation and creating a reduced description. The method of the invariant manifold is put forward as a unified principle…

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