AUTHOR=Molla Md Mamun , Haque Md Jahidul , Khan Md Amirul Islam , Saha Suvash C. 

TITLE=GPU Accelerated Multiple-Relaxation-Time Lattice Boltzmann Simulation of Convective Flows in a Porous Media

JOURNAL=Frontiers in Mechanical Engineering

VOLUME=4

YEAR=2018

URL=https://www.frontiersin.org/journals/mechanical-engineering/articles/10.3389/fmech.2018.00015

DOI=10.3389/fmech.2018.00015

ISSN=2297-3079

ABSTRACT=<p>A two-dimensional (2D) multiple-relaxation-time (MRT)-lattice Boltzmann method (LBM) is used for porous media with the Brinkman–Forchheimer extended Darcy model to investigate the natural and mixed convection flows in a square cavity. This Brinkman–Forchheimer model is directly applied by using the forcing moments as a source term. A Tesla K40 NVIDIA graphics card has been used for the present graphics processing unit (GPU) parallel computing via compute unified device architecture (CUDA) C platform. The numerical results are presented in terms of velocity, temperature, streamlines, isotherms, and local and average Nusselt numbers. For the wide range of Rayleigh numbers, (<italic>Ra</italic> = 10<sup>3</sup> to 10<sup>10</sup>), Reynolds numbers, Darcy numbers, and porosities, the average Nusselt number is compared with the available results computed by finite element method (FEM) and single-relaxation-time (SRT) lattice Boltzmann method-LBM and, showing great compliance. The results are also validated with the previous experimental results. The simulations speed up to a maximum of 144x using CUDA C in GPU compared with the time of FORTRAN 90 code using a single core CPU simulation.</p>