تقرير
High-performance computing for the BGK model of the Boltzmann equation with a meshfree Arbitrary Lagrangian-Eulerian (ALE) method
| العنوان: | High-performance computing for the BGK model of the Boltzmann equation with a meshfree Arbitrary Lagrangian-Eulerian (ALE) method |
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| المؤلفون: | Mariappan, Panchatchram, Willems, Klaas, Boregowda, Gangadhara, Tiwari, Sudarshan, Klar, Axel |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis |
| الوصف: | 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. Comment: arXiv admin note: text overlap with arXiv:2109.05822 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2408.02350 |
| رقم الأكسشن: | edsarx.2408.02350 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |