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

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. Key words. Large-eddy simulation, Discrete-velocity models, Relaxation methods, ImplicitExplicit schemes, Incompressible Navier-Stokes equations, Heat transfer. AMS subject classificatio...

• Type: Journal
• Year: 2008
• Where: SIAMSC
• Authors: Mapundi K. Banda, Mohammed Seaïd, Ioan Teleaga
• Keywords: Godunov-type Relaxation Scheme, Large-eddy Simulation, Relaxation Scheme, SIAMSC 2008