Parallel Lattice-Boltzmann Simulation of Transitional Flow on Non-uniform Grids
Transitional flows are difficult to address by Reynolds Averaged Navier-Stokes (RANS) simulations as the spectrum is typically not fully developed. In this work the suitability of the lattice Boltzmann method is evaluated for the simulation of transitional flows. Special measures are taken to reduce the computational cost without sacrificing the accuracy of the method. A large eddy simulation turbulence model is employed to allow efficient simulation of the resolved flow structures on relatively coarse computational meshes. In the vicinity of solid walls, where the flow is governed by the presence of a thin boundary layer, local grid-refinement is employed in order to capture the fine structures of the flow. The lattice Boltzmann code is run on an Opteron cluster. In the considered test case, the pressure distribution and the drag force on a sphere are computed in the Reynolds number range 1000 to 10000 and a parallel efficiency of 80% is obtained.
KeywordsLarge Eddy Simulation Reynolds Average Navier Stoke Lattice Boltzmann Method Turbulent Viscosity Collision Operator
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- 2.Clift, R., Grace, J.R., Weber, M.E.: Bubbles, Drops and Particles. Academic Press, New York (1978)Google Scholar
- 5.Freudiger, S.: Entwicklung eines parallelen, adaptiven, komponentenbasierten Strömungskerns für hierarchische Gitter auf Basis des Lattice-Boltzmann-Verfahrens, Ph.D. thesis, iRMB, TU Braunschweig (2009)Google Scholar
- 9.Karypis, G., Kumar, V.: METIS - A Software Package for Partitioning Unstructured Graphs, Partitioning Meshes, and Computing Fill-Reducing Orderings of Sparse Matrices - Version 4.0. (1998), http://glaros.dtc.umn.edu/gkhome/views/metis (last access January 21, 2009)
- 11.Lallemand, P., Luo, L.-S.: Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, Galilean invariance, and stability. Phys. Review E 61, 6546–6562 (2000)Google Scholar
- 18.Van Driest, E.R.: On turbulent flow near a wall. J. Aero. Sci. 23, 1007–1011 (1956)Google Scholar