Entropic lattice boltzmann method on non-uniform grids

Authors:
C. Shyam Sunder;V. Babu
Affiliations:
Department of Mechanical Engineering, Indian Institute of Technology, Madras, India;Department of Mechanical Engineering, Indian Institute of Technology, Madras, India
Venue:
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part III
Year:
2005

Citing 2
Cited 0

Simulation of cavity flow by the lattice Boltzmann method

Journal of Computational Physics
Some progress in lattice Boltzmann method. Part I: nonuniform mesh grids

Journal of Computational Physics

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Abstract

The entropic lattice Boltzmann method (ELBM) has recently been shown to be capable of simulating incompressible flows with good accuracy and enhanced stability. However, the method requires that uniform grids be used, which makes it prohibitively expensive for simulating large Reynolds number flows. In this paper, an interpolation scheme is proposed to extend the applicability of this method to arbitrary non-uniform meshes, while retaining the salient features of ELBM such as stability and computational efficiency. The new scheme is used to simulate flow in a lid driven cavity as well as flow past a square cylinder and is shown to largely reduce the grid requirements. The results of the simulation agree very well with other numerical experimental data available in the literature.