Add-ons for Lattice Boltzmann Methods: Regularization, Filtering and Limiters

Autor: Brownlee, R. A., Levesley, J., Packwood, D., Gorban, A. N.
Rok vydání: 2011
Předmět:
Zdroj: Progress in Computational Physics, 2013, vol. 3, 31-52
Druh dokumentu: Working Paper
DOI: 10.2174/9781608057160113030005
Popis: We describe how regularization of lattice Boltzmann methods can be achieved by modifying dissipation. Classes of techniques used to try to improve regularization of LBMs include flux limiters, enforcing the exact correct production of entropy and manipulating non-hydrodynamic modes of the system in relaxation. Each of these techniques corresponds to an additional modification of dissipation compared with the standard LBGK model. Using some standard 1D and 2D benchmarks including the shock tube and lid driven cavity, we explore the effectiveness of these classes of methods.
Comment: v2: Corrections to Eqs 30,33 and Figs 4,5,6,7
Databáze: arXiv