High-performance computing for the BGK model of the Boltzmann equation with a meshfree Arbitrary Lagrangian-Eulerian (ALE) method
<|reference_start|>High-performance computing for the BGK model of the Boltzmann equation with a meshfree Arbitrary Lagrangian-Eulerian (ALE) method: In this paper, we present high-performance computing for the BGK model of the Boltzmann equations with a meshfree method. We use the Arbitrary-Lagrangian-Eulerian (ALE) method, where the approximation of spatial derivatives and the reconstruction of a function is based on the weighted least squares method. We have used the Graphics Processing Unit (GPU) to accelerate the code and compared with the CPU code. Two and three dimensional driven cavity problems are solved, where we have obtained the speed up up to 307 times and 127 times in two and three dimensional cases, respectively.<|reference_end|>
@article{mariappan2024high-performance,
    title={High-performance computing for the BGK model of the Boltzmann equation
  with a meshfree Arbitrary Lagrangian-Eulerian (ALE) method},
    author={Panchatchram Mariappan, Klaas Willems, Gangadhara Boregowda, Sudarshan
  Tiwari, Axel Klar},
    journal={arXiv preprint arXiv:2408.02350},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.02350},
    primaryClass={math.NA cs.NA}
}