High-performance computing for the BGK model of the Boltzmann equation with a meshfree Arbitrary Lagrangian-Eulerian (ALE) method
Numerical Analysis
2024-11-27 v2 Numerical Analysis
Abstract
In this paper, we present high-performance computing for the BGK model of the Boltzmann equation with a mesh-free method. For the numerical simulation of the BGK equation we use an Arbitrary-Lagrangian-Eulerian (ALE) method developed in previous work, where the approximation of spatial derivatives and the reconstruction of a function is based on the weighted least squares method. A Graphics Processing Unit (GPU) is used to accelerate the code. The result is compared with sequential and parallel versions of the CPU code. Two and three-dimensional driven cavity problems are solved, where a speed-up of several orders of magnitude is obtained compared to a sequential CPU simulation.
Keywords
Cite
@article{arxiv.2408.02350,
title = {High-performance computing for the BGK model of the Boltzmann equation with a meshfree Arbitrary Lagrangian-Eulerian (ALE) method},
author = {Panchatchram Mariappan and Klaas Willems and Gangadhara Boregowda and Sudarshan Tiwari and Axel Klar},
journal= {arXiv preprint arXiv:2408.02350},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:2109.05822