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

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

Authors

M.K. Banda

I. Teleaga



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.

Citation

Banda, M., Seaid, M., & Teleaga, I. (2008). Large-Eddy Simulation of Thermal Flows based on Discrete-Velocity Models. SIAM Journal on Scientific Computing, 30(4), 1756-1777. https://doi.org/10.1137/070682174

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