Cross-Platform GPU-Based Implementation of Lattice Boltzmann Method Solver Using ArrayFire Library

Michal Takáč and Ivo Petráš
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Michal Takáč: Faculty BERG, Technical University of Košice, Němcovej 3, 042 00 Košice, Slovakia
Ivo Petráš: Faculty BERG, Technical University of Košice, Němcovej 3, 042 00 Košice, Slovakia

Mathematics, 2021, vol. 9, issue 15, 1-18

Abstract: This paper deals with the design and implementation of cross-platform, D2Q9-BGK and D3Q27-MRT, lattice Boltzmann method solver for 2D and 3D flows developed with ArrayFire library for high-performance computing. The solver leverages ArrayFire’s just-in-time compilation engine for compiling high-level code into optimized kernels for both CUDA and OpenCL GPU backends. We also provide C++ and Rust implementations and show that it is possible to produce fast cross-platform lattice Boltzmann method simulations with minimal code, effectively less than 90 lines of code. An illustrative benchmarks (lid-driven cavity and Kármán vortex street) for single and double precision floating-point simulations on 4 different GPUs are provided.

Keywords: lattice Boltzmann method (LBM); computational fluid dynamics (CFD); parallel computing; graphics processing unit (GPU) computing; ArrayFire library; numerical analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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