title: Thermal lattice Boltzmann method based on a theoretically simple derivation of the Taylor expansion.
abstract: We propose an approach to derive the thermal lattice Boltzmann method that is based on the Taylor expansion in variables of temperature as well as velocity and a direct calculation upon the Gaussian quadrature based hypothesis. This enables us to overcome the isothermal limitation and the low-order accuracy simultaneously. A systematic framework is explained for constructing numerically stable lattice Boltzmann models. The stability of this one-dimensional lattice Boltzmann model is demonstrated with a shock tube simulation.
authors: Interdisciplinary Fusion Technology Division, KIST and University of Science and Technology, 136-791, Seoul, Republic of Korea. jae-wan.shim@polytechnique.org
authors: Jae Wan
authors: JW
authors: Shim
authors: Renée
authors: R
authors: Gatignol