• Corpus ID: 16256532

Entropic Lattice Boltzmann Method for Large Scale Turbulence Simulation

  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},
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… 

Figures from this paper

Entropic multi-relaxation time lattice Boltzmann model for complex flows

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

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.

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

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

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

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?

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



Entropic lattice Boltzmann methods

It is demonstrated that entropically stabilized lattice Boltzmann algorithms, while fully explicit and perfectly conservative, may achieve remarkably low values for transport coefficients, such as viscosity, and holds promise for high‐Reynolds‐number simulations of the Navier‐Stokes equations.

Colloquium: Role of the H theorem in lattice Boltzmann hydrodynamic simulations

In the last decade, minimal kinetic models, and primarily the lattice Boltzmann equation, have met with significant success in the simulation of complex hydrodynamic phenomena, ranging from slow

Minimal entropic kinetic models for hydrodynamics

We derive minimal discrete models of the Boltzmann equation consistent with equilibrium thermodynamics, and which recover correct hydrodynamics in arbitrary dimensions. A new discrete velocity model

Revisiting freely decaying two-dimensional turbulence at millennial resolution

We study the evolution of vortex statistics in freely decaying two-dimensional turbulence at very large Reynolds number. The results obtained here confirm that the peak vorticity inside vortex cores

Comparison of spectral method and lattice Boltzmann simulations of two‐dimensional hydrodynamics

Numerical solutions of the two‐dimensional Navier–Stokes equations are presented by two methods; spectral and the novel lattice Boltzmann equation (LBE) scheme. Very good agreement is found for

Analysis of subgrid scale turbulence using the Boltzmann Bhatnagar-Gross-Krook kinetic equation

The use of the Boltzmann kinetic equation provides a number of potential technical advantages in the analysis of subgrid scale fluid turbulence as compared to the Navier-Stokes hydrodynamic

Single relaxation time model for entropic lattice Boltzmann methods.

  • S. AnsumaliI. Karlin
  • Physics, Computer Science
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2002
For lattice Boltzmann methods based on entropy functions, we derive a collision integral which enables simple identification of transport coefficients, and which circumvents construction of the

Discretization of the Velocity Space in the Solution of the Boltzmann Equation

We point out an equivalence between the discrete velocity method of solving the Boltzmann equation, of which the lattice Boltzmann equation method is a special example, and the approximations to the

Eddy Viscosity in Two and Three Dimensions

Abstract The test-field model for isotropic turbulence is used to examine the effective eddy viscosity acting on wavenumbers km. In both two and three dimensions, the effective eddy viscosity for

Direct simulation of a turbulent boundary layer up to Rθ = 1410

The turbulent boundary layer on a flat plate, with zero pressure gradient, is simulated numerically at four stations between Rθ = 225 and Rθ = 1410. The three-dimensional time-dependent Navier-Stokes