A Coupled Lattice Boltzmann-Volume Penalization for Flows Past Fixed Solid Obstacles with Local Mesh Refinement

Abstract

A coupled Lattice Boltzmann-Volume Penalization (LBM-VP) with local mesh refinement is presented to simulate flows past obstacles in this article. Based on the finite-difference LBM, the local mesh refinement is incorporated into the LBM to improve computing efficiency. The volume penalization method is introduced into the LBM by an external forcing term. In the LBM-VP method, the processes of interpolating velocities on the boundaries points and distributing the force density to the Eulerian points near the boundaries are unnecessary. Performing the LBM-VP on a certain point, only the variables of this point are needed, which means the whole procedure can be conducted parallelly. As a consequence, the whole computing efficiency can be improved. To verify the presented method, flows past a single circular cylinder, a pair of cylinders in tandem arrangement, and a NACA-0012 are investigated. A good agreement between the present results and the data in the previous literatures is achieved, which demonstrates the accuracy and effectiveness of the present method to solve the flows past obstacle problems.

A numerical study of the entropy generation and heat transfer rate of airflow around a NACA 0015 airfoil subjected to an external magnetic field

“…The validation results are presented for flow past a 2d circular cylinder with Pr=1 and Re numbers of 10 to 200. Figure 3 provides a visual comparison between the velocity contours of the present study and the results of [36] at Re =100 and 200. Also, Table 1 indicates that the results of the Cd and Nu number of the present study are in excellent accordance with the published literature.…”

The Application of REV-LBM Double Mesh Local Refinement Algorithm in Porous Media Flow Simulation

“…The local refinement algorithm applied to LBM was first proposed by Filippova and Hanel (FH algorithm) [22]. After several improvements [23,24], it was mainly applied to simulate single-phase and multiphase flow [25,26] or to explore particle transportation law [27], etc. However, the application to REV-scale LBM in simulating fluid seepage in porous media remains blank, and the REV-scale LBM has been used in the tight porous medium contained microfractures or dispersed dissolution pore with no verification of accuracy at the boundary layer having a large velocity gradient [20].…”