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On the Simulation of Porous Media Flow Using a New Meshless Lattice Boltzmann Method

In: Mathematical and Computational Approaches in Advancing Modern Science and Engineering

Author

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  • S. Hossein Musavi

    (Isfahan University of Technology, Department of Mechanical Engineering)

  • Mahmud Ashrafizaadeh

    (Isfahan University of Technology, Department of Mechanical Engineering)

Abstract

We propose a new meshless lattice Boltzmann method (MLLBM) for the simulation of nearly incompressible flows in porous media. As for the standard lattice Boltzmann method, the collision and the streaming operators are split. While the collision equation remains unaltered, the streaming equation is discretized using the Lax-Wendroff scheme in time, and the meshless local Petrov-Galerkin scheme in space. The Poiseuille flow is solved to validate the numerical scheme. The method is then used to simulate a flow in a porous medium. Although in general, meshless methods suffer from high computational costs, the present method shows promising accuracy and performance at a lower memory and computational costs for complex geometries, when compared with standard lattice Boltzmann methods.

Suggested Citation

  • S. Hossein Musavi & Mahmud Ashrafizaadeh, 2016. "On the Simulation of Porous Media Flow Using a New Meshless Lattice Boltzmann Method," Springer Books, in: Jacques Bélair & Ian A. Frigaard & Herb Kunze & Roman Makarov & Roderick Melnik & Raymond J. Spiteri (ed.), Mathematical and Computational Approaches in Advancing Modern Science and Engineering, pages 469-480, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-30379-6_43
    DOI: 10.1007/978-3-319-30379-6_43
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