Stabilizing Lattice Boltzmann Simulation of Fluid Flow past a Circular Cylinder with Ehrenfests’ Limiter

作者: Tahir S. Khan , Jeremy Levesley

DOI: 10.1007/978-3-642-16876-5_10

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摘要: In this study, two-dimensional fluid flow around a circular cylinder for different laminar and turbulent regimes has been analyzed. We will show that introduction of Ehrenfests’ coarse-graining idea in lattice Boltzmann method can stabilize the simulation high Reynolds numbers without any grid refinement vicinity where sharp gradients occur. A Strouhal-Reynolds number relationship from low to captured found satisfactory agreement with other numerical experimental simulations.

参考文章(31)
Harsha Gopal Lanka, BN Rajani, Sekhar Majumdar, Laminar flow past a circular cylinder at reynolds number varying from 50 to 5000 National Aerospace Laboratories. ,(2005)
Iliya V. Karlin, Christos E. Frouzakis, Santosh Ansumali, Shyam Sunder Chikatamarla, Elements of the lattice Boltzmann method I: Linear advection equation ,(2006)
C. Shyam Sunder, V. Babu, Entropic Lattice Boltzmann Method on Non-uniform Grids Lecture Notes in Computer Science. ,vol. 3516, pp. 72- 79 ,(2005) , 10.1007/11428862_10
A. N. Gorban, Basic Types of Coarse-Graining ⋆ arXiv: Statistical Mechanics. pp. 117- 176 ,(2006) , 10.1007/3-540-35888-9_7
Olga Filippova, Dieter Hänel, Grid Refinement for Lattice-BGK Models Journal of Computational Physics. ,vol. 147, pp. 219- 228 ,(1998) , 10.1006/JCPH.1998.6089
R. A. Brownlee, A. N. Gorban, J. Levesley, Stabilization of the lattice Boltzmann method using the Ehrenfests' coarse-graining idea. Physical Review E. ,vol. 74, pp. 037703- ,(2006) , 10.1103/PHYSREVE.74.037703
Iliya V. Karlin, Alexander N. Gorban, S. Succi, V. Boffi, Maximum Entropy Principle for Lattice Kinetic Equations Physical Review Letters. ,vol. 81, pp. 6- 9 ,(1998) , 10.1103/PHYSREVLETT.81.6