Diffuse-reflection boundary conditions for a thermal lattice Boltzmann model in two dimensions: evidence of temperature jump and slip velocity in microchannels
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Updated: Aug 16, 2026

Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
Victor Sofonea1, Robert F Sekerka
1Laboratory for Numerical Simulation and Parallel Computing in Fluid Mechanics, Center for Fundamental and Advanced Technical Research, Romanian Academy, Bd. Mihai Viteazul 24, RO-300223 Timişoara, Romania. sofonea@acad-tim.tm.edu.ro
Abstract:
We discuss the implementation of diffuse reflection boundary conditions in a thermal lattice Boltzmann model for which the upwind finite difference scheme is used to solve the set of evolution equations recovered after discretization of the velocity space. Simulation of heat transport between two parallel walls at rest shows evidence of temperature jumps at the walls that increase with Knudsen number. When the walls move in opposite directions with speeds +/- u(W), fluid velocity slip is observed at the walls, together with temperature jumps.
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