title: Robust thermal boundary conditions applicable to a wall along which temperature varies in lattice-gas cellular automata.
abstract: We show that the heat exchange between fluid particles and boundary walls can be achieved by controlling the velocity change rate following the particles' collision with a wall in discrete kinetic theory, such as the lattice-gas cellular automata and the lattice Boltzmann method. We derive a relation between the velocity change rate and temperature so that we can control the velocity change rate according to a given temperature boundary condition. This relation enables us to deal with the thermal boundary whose temperature varies along a wall in contrast to the previous works of the lattice-gas cellular automata. In addition, we present simulation results to compare our method to the existing and give an example in a microchannel with a high temperature gradient boundary condition by the lattice-gas cellular automata.
authors.affiliation: Nano Science Research Division, Korea Institute of Science and Technology, 136-791 Seoul, Republic of Korea. jae-wan.shim@polytechnique.org
authors.forename: Jae Wan
authors.initials: JW
authors.lastname: Shim
authors.forename: Renée
authors.initials: R
authors.lastname: Gatignol