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

S. Hossein Musavi () and Mahmud Ashrafizaadeh ()
Additional contact information
S. Hossein Musavi: Isfahan University of Technology, Department of Mechanical Engineering
Mahmud Ashrafizaadeh: Isfahan University of Technology, Department of Mechanical Engineering

A chapter in Mathematical and Computational Approaches in Advancing Modern Science and Engineering, 2016, pp 469-480 from Springer

Abstract: 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.

Keywords: Porous Medium; Lattice Boltzmann Method; Poiseuille Flow; Radial Basis Function; Discrete Boltzmann Equation (search for similar items in EconPapers)
Date: 2016
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-30379-6_43

Ordering information: This item can be ordered from
http://www.springer.com/9783319303796

DOI: 10.1007/978-3-319-30379-6_43

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().