Study and Application of Multi-level Acceleration Theory for High-fidelity Neutron Transport Calculation
In order to solve the time-consuming problem of high-fidelity neutron transport calculation, the multi-level acceleration theory was proposed. For iterative process, the iterative acceleration was utilized to ease the computational burden. An equivalent low resolution system with different spaces, e...
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| Format: | Article |
| Language: | English |
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Editorial Board of Atomic Energy Science and Technology
2022-02-01
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| Series: | Yuanzineng kexue jishu |
| Subjects: | |
| Online Access: | https://www.aest.org.cn/CN/abstract/abstract21333.shtml |
| _version_ | 1811186634837721088 |
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| author | HAO Chen;ZHU Yanling;KANG Le;LI Peijun;ZHOU Xiaoyu |
| author_facet | HAO Chen;ZHU Yanling;KANG Le;LI Peijun;ZHOU Xiaoyu |
| author_sort | HAO Chen;ZHU Yanling;KANG Le;LI Peijun;ZHOU Xiaoyu |
| collection | DOAJ |
| description | In order to solve the time-consuming problem of high-fidelity neutron transport calculation, the multi-level acceleration theory was proposed. For iterative process, the iterative acceleration was utilized to ease the computational burden. An equivalent low resolution system with different spaces, energy and angular resolutions was built, forming the multilevel iterative acceleration. The solution of low resolution system can provide good initial value for high resolution system, so the number of iterations for high resolution system calculation was greatly reduced. For the purpose of ensuring the complete equivalence among different resolution systems, the generalized equivalence theory based coarse mesh finite difference method was used in iterative process. Aiming at transient solution, the timestep acceleration was adopted to decrease the calculating amount of highfidelity neutron transport by establishing a multilevel predictorcorrector system. Based on the idea of predictorcorrector, the time step of high-fidelity transient neutron transport calculation was divided into multiple levels. Meanwhile, the corresponding low resolution systems were established under different time resolutions, so as to effectively capture the characteristics of neutron flux density in different resolutions. Then the low resolution system result was used to adjust the predicted solution of high resolution system step by step, thereby achieving accurate highfidelity neutron transport calculation under large time steps. Ultimately, the concept of time, space, energy, and angular resolution system were introduced, and the timestep acceleration and iterative acceleration were integrated into a complete multilevel acceleration theory. Furthermore, the theory was applied to the highfidelity neutron transport program HNET and a specific implementation scheme was established, which includes four levels of acceleration in time step scale, three levels of acceleration in space scale, and two levels of acceleration in energy scale. The acceleration performance of multilevel acceleration theory was verified by the single assembly problem with a prompt control rod withdrawal event and the wellknown C5G7TD benchmark problems. The numerical results indicate that the computational accuracy of HNET program is comparable to that of the international sametype program. In addition, the efficiency is significantly better than that of the similar program. On the one hand, the multilevel iterative acceleration has the capability of enhancing the converge speed of high resolution system calculations. On the other hand, the multilevel predictorcorrector quasistatic method can provide accurate correction factor under large time step, making the improvement of calculation precision come true. In summary, the multilevel acceleration theory can not only ensure the accuracy of highfidelity neutron transport calculation, but also greatly improve the computing efficiency. |
| first_indexed | 2024-04-11T13:48:42Z |
| format | Article |
| id | doaj.art-adb371db27594b80838265f3e2675c45 |
| institution | Directory Open Access Journal |
| issn | 1000-6931 |
| language | English |
| last_indexed | 2024-04-11T13:48:42Z |
| publishDate | 2022-02-01 |
| publisher | Editorial Board of Atomic Energy Science and Technology |
| record_format | Article |
| series | Yuanzineng kexue jishu |
| spelling | doaj.art-adb371db27594b80838265f3e2675c452022-12-22T04:20:51ZengEditorial Board of Atomic Energy Science and TechnologyYuanzineng kexue jishu1000-69312022-02-01562296307Study and Application of Multi-level Acceleration Theory for High-fidelity Neutron Transport CalculationHAO Chen;ZHU Yanling;KANG Le;LI Peijun;ZHOU Xiaoyu0Fundamental Science on Nuclear Safety and Simulation Technology Laboratory, Harbin Engineering University, Harbin 150001, ChinaIn order to solve the time-consuming problem of high-fidelity neutron transport calculation, the multi-level acceleration theory was proposed. For iterative process, the iterative acceleration was utilized to ease the computational burden. An equivalent low resolution system with different spaces, energy and angular resolutions was built, forming the multilevel iterative acceleration. The solution of low resolution system can provide good initial value for high resolution system, so the number of iterations for high resolution system calculation was greatly reduced. For the purpose of ensuring the complete equivalence among different resolution systems, the generalized equivalence theory based coarse mesh finite difference method was used in iterative process. Aiming at transient solution, the timestep acceleration was adopted to decrease the calculating amount of highfidelity neutron transport by establishing a multilevel predictorcorrector system. Based on the idea of predictorcorrector, the time step of high-fidelity transient neutron transport calculation was divided into multiple levels. Meanwhile, the corresponding low resolution systems were established under different time resolutions, so as to effectively capture the characteristics of neutron flux density in different resolutions. Then the low resolution system result was used to adjust the predicted solution of high resolution system step by step, thereby achieving accurate highfidelity neutron transport calculation under large time steps. Ultimately, the concept of time, space, energy, and angular resolution system were introduced, and the timestep acceleration and iterative acceleration were integrated into a complete multilevel acceleration theory. Furthermore, the theory was applied to the highfidelity neutron transport program HNET and a specific implementation scheme was established, which includes four levels of acceleration in time step scale, three levels of acceleration in space scale, and two levels of acceleration in energy scale. The acceleration performance of multilevel acceleration theory was verified by the single assembly problem with a prompt control rod withdrawal event and the wellknown C5G7TD benchmark problems. The numerical results indicate that the computational accuracy of HNET program is comparable to that of the international sametype program. In addition, the efficiency is significantly better than that of the similar program. On the one hand, the multilevel iterative acceleration has the capability of enhancing the converge speed of high resolution system calculations. On the other hand, the multilevel predictorcorrector quasistatic method can provide accurate correction factor under large time step, making the improvement of calculation precision come true. In summary, the multilevel acceleration theory can not only ensure the accuracy of highfidelity neutron transport calculation, but also greatly improve the computing efficiency.https://www.aest.org.cn/CN/abstract/abstract21333.shtmlhigh-fidelity neutron transport calculationmulti-level acceleration theoryiterative accelerationtime-step acceleration |
| spellingShingle | HAO Chen;ZHU Yanling;KANG Le;LI Peijun;ZHOU Xiaoyu Study and Application of Multi-level Acceleration Theory for High-fidelity Neutron Transport Calculation Yuanzineng kexue jishu high-fidelity neutron transport calculation multi-level acceleration theory iterative acceleration time-step acceleration |
| title | Study and Application of Multi-level Acceleration Theory for High-fidelity Neutron Transport Calculation |
| title_full | Study and Application of Multi-level Acceleration Theory for High-fidelity Neutron Transport Calculation |
| title_fullStr | Study and Application of Multi-level Acceleration Theory for High-fidelity Neutron Transport Calculation |
| title_full_unstemmed | Study and Application of Multi-level Acceleration Theory for High-fidelity Neutron Transport Calculation |
| title_short | Study and Application of Multi-level Acceleration Theory for High-fidelity Neutron Transport Calculation |
| title_sort | study and application of multi level acceleration theory for high fidelity neutron transport calculation |
| topic | high-fidelity neutron transport calculation multi-level acceleration theory iterative acceleration time-step acceleration |
| url | https://www.aest.org.cn/CN/abstract/abstract21333.shtml |
| work_keys_str_mv | AT haochenzhuyanlingkanglelipeijunzhouxiaoyu studyandapplicationofmultilevelaccelerationtheoryforhighfidelityneutrontransportcalculation |