Special Relativistic Smoothed Particle Hydrodynamics Based on Riemann Solver
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915566207369216 |
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| author | Kitajima, Kanta Inutsuka, Shu-ichiro Seno, Izumi |
| author_facet | Kitajima, Kanta Inutsuka, Shu-ichiro Seno, Izumi |
| contents | This paper proposes a novel numerical method based on Godunov Smoothed Particle Hydrodynamics for special relativistic fluid dynamics. Our method utilizes a Riemann solver to describe shock, enhancing accuracy in strong shock waves. The formulation maintains conservation laws and achieves higher accuracy through convolution integrals that define physical quantities for SPH particles. We also propose the number density calculation method that uses a non-equal baryon number in each SPH particle and variable smoothing length in a way different from the conventional method. Numerical experiments demonstrate the method's robustness across one- and two-dimensional relativistic shock tube problems, as well as its ability to simulate Kelvin-Helmholtz instabilities accurately, validating SRGSPH as a reliable approach for high-resolution relativistic simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18251 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Special Relativistic Smoothed Particle Hydrodynamics Based on Riemann Solver Kitajima, Kanta Inutsuka, Shu-ichiro Seno, Izumi Computational Physics High Energy Astrophysical Phenomena Fluid Dynamics This paper proposes a novel numerical method based on Godunov Smoothed Particle Hydrodynamics for special relativistic fluid dynamics. Our method utilizes a Riemann solver to describe shock, enhancing accuracy in strong shock waves. The formulation maintains conservation laws and achieves higher accuracy through convolution integrals that define physical quantities for SPH particles. We also propose the number density calculation method that uses a non-equal baryon number in each SPH particle and variable smoothing length in a way different from the conventional method. Numerical experiments demonstrate the method's robustness across one- and two-dimensional relativistic shock tube problems, as well as its ability to simulate Kelvin-Helmholtz instabilities accurately, validating SRGSPH as a reliable approach for high-resolution relativistic simulations. |
| title | Special Relativistic Smoothed Particle Hydrodynamics Based on Riemann Solver |
| topic | Computational Physics High Energy Astrophysical Phenomena Fluid Dynamics |
| url | https://arxiv.org/abs/2510.18251 |