Complete PISO and SIMPLE solvers on Graphics Processing Units

2012/07/06 by Tadeusz Tomczak, Tomczak, Tadeusz, Katarzyna Zadarnowska +7 · 1 citation
Computer Science · Engineering · #Advanced Numerical Methods in Computational Mathematics #Distributed #FOS: Computer and information sciences #Matrix Theory and Algorithms #Parallel #Parallel Computing and Optimization Techniques #and Cluster Computing (cs.DC)

paper · pdf · doi:10.48550/arxiv.1207.1571

openalex publication_date 2012/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We implemented the pressure-implicit with splitting of operators (PISO) and semi-implicit method for pressure-linked equations (SIMPLE) solvers of the Navier-Stokes equations on Fermi-class graphics processing units (GPUs) using the CUDA technology. We also introduced a new format of sparse matrices optimized for performing elementary CFD operations, like gradient or divergence discretization, on GPUs. We verified the validity of the implementation on several standard, steady and unsteady problems. Computational effciency of the GPU implementation was examined by comparing its double precision run times with those of essentially the same algorithms implemented in OpenFOAM. The results show that a GPU (Tesla C2070) can outperform a server-class 6-core, 12-thread CPU (Intel Xeon X5670) by a factor of 4.2.

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• Building an Accelerated OpenFOAM Proof-of-Concept Application using Modern C++

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