Assessing the Hierarchical Hamiltonian Splitting Integrator for Collisionless N -Body Simulations
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| Format: | Artículo científico |
| Sprache: | en |
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Universidad Nacional Autónoma de México
2022
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| _version_ | 1876468447952502784 |
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| author | G. Aguilar-Argüello |
| author_facet | G. Aguilar-Argüello |
| contents | Assessing the Hierarchical Hamiltonian Splitting Integrator for Collisionless N -Body Simulations G. Aguilar-Argüello O. Valenzuela H. Velázquez J. C. Clemente J. A. Trelles Física, Astronomía y Matemáticas large gravitation methods: numerical Celestial mechanics software: simulations The large dynamic range in some astrophysical N-body problems led to the use of adaptive multi-time-steps; however, the search for optimal strategies is still challenging. We numerically quantify the performance of the hierarchical Hamiltonian Splitting (HHS) integrator for collisionless simulations using a direct summation code. We compare HHS with the constant global time-step leapfrog integrator, and with the adaptive one (AKDK). We find that HHS is approximately reversible, whereas AKDK is not. Therefore, it is possible to find a combination of parameters such that the energy drift is considerably milder for HHS, resulting in a better performance. We conclude that HHS is an attractive alternative to AKDK, and it is certainly advantageous for direct summation and P3M codes. Also, we find advantages with GADGET4 (Tree/FMM) HHS implementation that are worth exploring further. 2022 artículo científico 0185-1101 https://www.redalyc.org/articulo.oa?id=57175502003 https://www.redalyc.org/journal/571/57175502003/ https://www.redalyc.org/journal/571/57175502003/html/ https://www.redalyc.org/journal/571/57175502003/57175502003.epub https://www.redalyc.org/journal/571/57175502003/movil 10.22201/ia.01851101p.2022.58.02.03 en http://www.redalyc.org/revista.oa?id=571 Revista Mexicana de Astronomía y Astrofísica application/pdf Universidad Nacional Autónoma de México Revista Mexicana de Astronomía y Astrofísica (México) Num.2 Vol.58 |
| format | Artículo científico |
| id | redalyc_57175502003 |
| institution | Redalyc |
| language | en |
| publishDate | 2022 |
| publisher | Universidad Nacional Autónoma de México |
| spellingShingle | Assessing the Hierarchical Hamiltonian Splitting Integrator for Collisionless N -Body Simulations G. Aguilar-Argüello Física, Astronomía y Matemáticas large gravitation methods: numerical Celestial mechanics software: simulations Assessing the Hierarchical Hamiltonian Splitting Integrator for Collisionless N -Body Simulations G. Aguilar-Argüello O. Valenzuela H. Velázquez J. C. Clemente J. A. Trelles Física, Astronomía y Matemáticas large gravitation methods: numerical Celestial mechanics software: simulations The large dynamic range in some astrophysical N-body problems led to the use of adaptive multi-time-steps; however, the search for optimal strategies is still challenging. We numerically quantify the performance of the hierarchical Hamiltonian Splitting (HHS) integrator for collisionless simulations using a direct summation code. We compare HHS with the constant global time-step leapfrog integrator, and with the adaptive one (AKDK). We find that HHS is approximately reversible, whereas AKDK is not. Therefore, it is possible to find a combination of parameters such that the energy drift is considerably milder for HHS, resulting in a better performance. We conclude that HHS is an attractive alternative to AKDK, and it is certainly advantageous for direct summation and P3M codes. Also, we find advantages with GADGET4 (Tree/FMM) HHS implementation that are worth exploring further. 2022 artículo científico 0185-1101 https://www.redalyc.org/articulo.oa?id=57175502003 https://www.redalyc.org/journal/571/57175502003/ https://www.redalyc.org/journal/571/57175502003/html/ https://www.redalyc.org/journal/571/57175502003/57175502003.epub https://www.redalyc.org/journal/571/57175502003/movil 10.22201/ia.01851101p.2022.58.02.03 en http://www.redalyc.org/revista.oa?id=571 Revista Mexicana de Astronomía y Astrofísica application/pdf Universidad Nacional Autónoma de México Revista Mexicana de Astronomía y Astrofísica (México) Num.2 Vol.58 |
| title | Assessing the Hierarchical Hamiltonian Splitting Integrator for Collisionless N -Body Simulations |
| topic | Física, Astronomía y Matemáticas large gravitation methods: numerical Celestial mechanics software: simulations |
| url | https://www.redalyc.org/articulo.oa?id=57175502003 https://www.redalyc.org/journal/571/57175502003/ https://www.redalyc.org/journal/571/57175502003/html/ https://www.redalyc.org/journal/571/57175502003/57175502003.epub https://www.redalyc.org/journal/571/57175502003/movil |