High-performance computing for the BGK model of the Boltzmann equation with a meshfree Arbitrary Lagrangian-Eulerian (ALE) method
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916495615852544 |
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| author | Mariappan, Panchatchram Willems, Klaas Boregowda, Gangadhara Tiwari, Sudarshan Klar, Axel |
| author_facet | Mariappan, Panchatchram Willems, Klaas Boregowda, Gangadhara Tiwari, Sudarshan Klar, Axel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02350 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | High-performance computing for the BGK model of the Boltzmann equation with a meshfree Arbitrary Lagrangian-Eulerian (ALE) method Mariappan, Panchatchram Willems, Klaas Boregowda, Gangadhara Tiwari, Sudarshan Klar, Axel Numerical Analysis 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. |
| title | High-performance computing for the BGK model of the Boltzmann equation with a meshfree Arbitrary Lagrangian-Eulerian (ALE) method |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2408.02350 |