High-performance Implementations and Large-scale Validation of the Link-wise Artificial Compressibility Method

Christian Obrecht, Pietro Asinari, Frederic Kuznik, Jean-Jacques Roux
CETHIL UMR 5008 (CNRS, INSA-Lyon, UCB-Lyon 1), Universite de Lyon, France
hal-01059217, (9 September 2014)




   title={High-performance implementations and large-scale validation of the link-wise artificial compressibility method},

   author={Obrecht, Christian and Asinari, Pietro and Kuznik, Fr{‘e}d{‘e}ric and Roux, Jean-Jacques},


   affiliation={Centre de Thermique de Lyon – CETHIL , Multi-scale Modeling Lab – SMaLL},


   journal={Journal of Computational Physics},








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The link-wise artificial compressibility method (LW-ACM) is a recent formulation of the artificial compressibility method for solving the incompressible Navier-Stokes equations. Two implementations of the LW-ACM in three dimensions on CUDA enabled GPUs are described. The first one is a modified version of a state-of-the-art CUDA implementation of the lattice Boltzmann method (LBM), showing that an existing GPU LBM solver might easily be adapted to LW-ACM. The second one follows a novel approach, which leads to a performance increase of up to 1.8x compared to the LBM implementation considered here, while reducing the memory requirements by a factor of 5.25. Large-scale simulations of the lid-driven cubic cavity at Reynolds number Re = 2000 were performed for both LW-ACM and LBM. Comparison of the simulation results against spectral elements reference data shows that LW-ACM performs almost as well as multiple-relaxation-time LBM in terms of accuracy.
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