Paper Info
Title
An arbitrary Lagrangian-Eulerian approach for the simulation of immersed moving solids with Lattice Boltzmann Method
Abstract
The flow-structure interactions streaming from the motion of an immersed solid body are investigated through an Arbitrary Lagrangian-Eulerian (ALE) approach applied to the Lattice Boltzmann method (LBM). The method is based on the use of a moving grid to describe the flow around the solid body, while the physical domain is resolved by the use of an Eulerian frame fixed grid. The moving grid displacements follows the same moving law of the body, and its shape does not change during the simulation. The communication between the moving grid and the fixed grid is performed at the beginning of each time step through interpolation.The ALE-LBM approach has been derived from the discretized Boltzmann equation by a Chapman-Enskog expansion procedure, the equivalence of the proposed method with the Navier-Stokes equations for a weakly compressible athermal flow being recovered.Numerical simulations of academical test cases have been performed in order to assess the method and to investigate the sensitivity of the error to the simulation parameters. Three different test cases have been considered, in order to perform a robust assessment of the ALE-LBM approach. More specifically, the Uniform Flow, the Poiseuille Flow and the Plane Wave test cases have been studied and the limits of application of the approach have been defined and discussed.Finally, the case of a rotating two dimensional square cylinder immersed in a Poiseuille Flow, Re = 80 , has been numerically investigated. The results confirm that the ALE-LBM approach is able to correctly represent the physical flow features and, in particular, the transition zone between the two grids used is smooth and continuous, a sign that the error due to the interpolation process is bounded and does not diverge in time.
Year
DOI
Venue
2013
10.1016/j.jcp.2012.10.014
J. Comput. Physics
Keywords
Field
DocType
solid body,academical test case,plane wave test case,arbitrary lagrangian-eulerian approach,ale-lbm approach,uniform flow,grid displacement,fixed grid,lattice boltzmann method,poiseuille flow
Discretization,Mathematical optimization,Boltzmann equation,Mathematical analysis,Flow (psychology),Lattice Boltzmann methods,Eulerian path,Mathematics,Grid,Potential flow,Hagen–Poiseuille equation
Journal
Volume
Issue
ISSN
235
C
0021-9991
Citations 
PageRank 
References 
3
0.95
5
Authors
3
Name
Order
Citations
PageRank
M. Meldi141.99
E. Vergnault292.26
P. Sagaut3489.27