Essentially entropic lattice Boltzmann model: Theory and simulations
arXiv:2203.12946 · doi:10.1103/PhysRevE.106.055307
Abstract
We present a detailed description of the essentially entropic lattice Boltzmann model. The entropic lattice Boltzmann model guarantees unconditional numerical stability by iteratively solving the nonlinear entropy evolution equation. In this paper we explain the construction of closed-form analytic solutions to this equation. We demonstrate that near equilibrium this exact solution reduces to the standard lattice Boltzmann model. We consider a few test cases to show that the exact solution does not exhibit any significant deviation from the iterative solution. We also extend the analytical solution for the ES-BGK model to remove the limitation on the Prandtl number for heat transfer problems. The simplicity of the exact solution removes the computational overhead and algorithmic complexity associated with the entropic lattice Boltzmann models.
References in corpus (17)
- Simulation of Rayleigh-Bénard convection using lattice Boltzmann method
- Kinetic boundary conditions in the lattice Boltzmann method
- Minimal entropic kinetic models for simulating hydrodynamics
- Fluctuating lattice Boltzmann
- Role of the H theorem in lattice Boltzmann hydrodynamic simulations
- Recursive regularization step for high-order lattice Boltzmann methods
- Entropic lattice Boltzmann methods
- Consistent Lattice Boltzmann Method
- Galilean-Invariant Lattice-Boltzmann Models with H-Theorem
- Entropic lattice Boltzmann method for microflows
- Lattice ellipsoidal statistical BGK model for thermal non-equilibrium flows
- Stability and stabilisation of the lattice Boltzmann method: Magic steps and salvation operations
- Quasi-Equilibrium Lattice Boltzmann Method
- An H-Theorem for the Lattice Boltzmann Approach to Hydrodynamics
- Lattice Boltzmann model for weakly compressible flows
- Possibility and Impossibility of the Entropy Balance in Lattice Boltzmann Collisions
- Inertial range statistics of the Entropic Lattice Boltzmann in 3D turbulence