publication . Preprint . 2018

Stabilization of the Lattice Boltzmann Method Using Information Theory

Wilson, Tyler L; Pugh, Mary; Dawson, Francis;
Open Access English
  • Published: 11 Jan 2018
A novel Lattice Boltzmann method is derived using the Principle of Minimum Cross Entropy (MinxEnt) via the minimization of Kullback-Leibler Divergence (KLD). By carrying out the actual single step Newton-Raphson minimization (MinxEnt-LBM) a more accurate and stable Lattice Boltzmann Method can be implemented. To demonstrate this, 1D shock tube and 2D lid-driven cavity flow simulations are carried out and compared to Single Relaxation Time LBM, Two Relaxation Time LBM, Multiple Relaxation Time LBM and Eherenfest Step LBM.
arXiv: Nonlinear Sciences::Cellular Automata and Lattice GasesPhysics::Computational PhysicsComputer Science::PerformanceComputer Science::Computational Engineering, Finance, and Science
free text keywords: Physics - Computational Physics, Physics - Fluid Dynamics
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