KINETIC PROJECTION AND STABILITY IN LATTICE-BOLTZMANN SCHEMES
Paulo Cesar Philippi1; Keijo Kalervo Mattila2; Luiz Adolfo Hegele Júnior3; Diogo Siebert4
1 Mechanical Engineering Department, Federal University of Santa Catarina, 88040-900 Florianopolis; 2 Department of Physics, University of Jyvaskyla, P.O. Box 35 (YFL), FI-40014; 3 Department of Petroleum Engineering, State University of Santa Catarina, 88330-668 Baln. Camboriu; 4 Mobility Center, Federal University of Santa Catarina, 89218-000 Joinville
doi:10.20906/CPS/CILAMCE2015-0398
Resumo
The lattice-Boltzmann equation is a low-order approximation of the Boltzmann equation (BE) and its solution involve errors affected by high-order moments that cannot be controlled or retrieved with this approximation. These ´ghost` moments contribute to instability issues. The regularization method is discussed in this paper in connection with kinetic projections and we show that solutions of the LB equations, with improved stability ranges, may be found, in a systematic way, based on increasingly order projections of the continuous Boltzmann equation (BE) onto subspaces generated by finite set of Hermite polynomials.
Palavras-chave: lattice-Boltzmann; stability; kinetic projection