Large-Eddy Simulation of Thermal Flows based on Discrete-Velocity Models.

Banda, M.K.; Seaid, M.; Teleaga, I.

Abstract

We derive a Godunov-type relaxation scheme for turbulent flows with heat transfer. The building block of this approach is a kinetic Boltzmann-type formulation for a model of turbulent thermal flows based on large-eddy simulation modeling. Discrete-velocity moments are taken in order to derive a relaxation system which is in turn solved by a relaxation scheme. High-order schemes are obtained by discretizing the relaxation system spatially with weighted essentially nonoscillatory reconstruction and temporally using an implicit-explicit discretization. In the limit of small Mach and small Knudsen numbers one obtains a high-order relaxation scheme for large-eddy simulation of turbulent thermal flows. The efficiency, accuracy, and high-resolution properties of the models are demonstrated in a variety of test examples.

• Journal Article Type: Article
• Publication Date: 2008
• Journal: SIAM Journal on Scientific Computing
• Print ISSN: 1064-8275
• Electronic ISSN: 1095-7197
• Publisher: Society for Industrial and Applied Mathematics
• Volume: 30
• Issue: 4
• Pages: 1756-1777
• DOI: https://doi.org/10.1137/070682174
• Keywords: arge-eddy simulation, discrete-velocity models, relaxation methods, implicit-explicit schemes, incompressible Navier-Stokes equations, heat transfer
• Public URL: https://durham-repository.worktribe.com/output/1530230