M.K. Banda
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.
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 |
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