An Efficient Solver for Cumulative Density Function-based Solutions of Uncertain Kinematic Wave Models
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| Název: | An Efficient Solver for Cumulative Density Function-based Solutions of Uncertain Kinematic Wave Models |
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| Autoři: | Cheng, Ming, Qin, Yi, Narayan, Akil, Zhong, Xinghui, Zhu, Xueyu, Wang, Peng |
| Informace o vydavateli: | 2019-01-24 |
| Druh dokumentu: | Electronic Resource |
| Abstrakt: | We develop a numerical framework to implement the cumulative density function (CDF) method for obtaining the probability distribution of the system state described by a kinematic wave model. The approach relies on Monte Carlo Simulations (MCS) of the fine-grained CDF equation of system state, as derived by the CDF method. This fine-grained CDF equation is solved via the method of characteristics. Each method of characteristics solution is far more computationally efficient than the direct solution of the kinematic wave model, and the MCS estimator of the CDF converges relatively quickly. We verify the accuracy and robustness of our procedure via comparison with direct MCS of a particular kinematic wave system, the Saint-Venant equation. Comment: 19 pages, 6 figures, 3 tables |
| Témata: | Mathematics - Numerical Analysis, Physics - Computational Physics, 65M22, 65M25, text |
| DOI: | 10.1016.j.jcp.2019.01.008 |
| URL: | |
| Dostupnost: | Open access content. Open access content |
| Other Numbers: | COO oai:arXiv.org:1901.08520 Journal of Computational Physics, 2018 doi:10.1016/j.jcp.2019.01.008 1504834224 |
| Přispívající zdroj: | CORNELL UNIV From OAIster®, provided by the OCLC Cooperative. |
| Přístupové číslo: | edsoai.on1504834224 |
| Databáze: | OAIster |
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