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

نویسندگان

  • Mapundi K. Banda
  • Mohammed Seaïd
  • Ioan Teleaga
چکیده

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 modelling. 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 non-oscillatory 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.

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عنوان ژورنال:
  • SIAM J. Scientific Computing

دوره 30  شماره 

صفحات  -

تاریخ انتشار 2008