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=Volume 4 - 2018

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=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 used through the forcing moments as source term. A Tesla K40 NVIDIA graphics card
 has been used for the present Graphics Process Unit (GPU) parallel computing via Compute Unified Device Architecture (CUDA) C platform. The numerical results are presented in terms of the velocity, temperature, streamlines, isotherms and local and average Nusselt numbers. For the wide range of Rayleigh numbers, $(Ra = 10^3$ to $10^{10}$), Reynolds numbers, Darcy numbers and the 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  and the agreement shows quite well. {\blue{The results are also validated with the previous experimental results.}} 
The simulations speed up maximum 144x using CUDA C in GPU comparing with the time of FORTRAN 90 code using a single core CPU simulation.