| Simulation Study on Dam Break Flow Based on the B-Spline Material Point Method北大核心CSCD |
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| 引用本文： | 徐云卿,周晓敏,赵世一,徐聖飞,孙政.Simulation Study on Dam Break Flow Based on the B-Spline Material Point Method北大核心CSCD[J].应用数学和力学,2023(8):921-930. |
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| 作者姓名： | 徐云卿 周晓敏 赵世一 徐聖飞 孙政 |
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| 作者单位： | 1. 江西理工大学土木与测绘工程学院;2. 江西理工大学江西省环境岩土与工程灾害控制重点实验室 |
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| 基金项目： | 国家自然科学基金项目(12262013；11902127)；江西省主要学科学术和技术带头人-青年项目(20225BCJ23022)；国家级大学生创新创业训练项目(202010407006)；江西省大学生创新创业训练项目(S202210407026)。 |
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| 摘 要： | The dam break flow poses a common free surface flow problem in hydraulic engineering, and its ac? curate simulation is of great engineering significance. The B?spline material point method (BSMPM), as an im? proved algorithm of the material point method (MPM), has optimized accuracy and convergence in material point calculations and unique algorithmic advantages in free surface flow problems. Based on the BSMPM, a weakly compressible BSMPM (WC?BSMPM) was developed through introduction of an artificial equation of state. The simulation of the dam break flow problem was carried out, with the effects of the order of the B? spline interpolation basis function on the simulation results analyzed. The results show that, the simulated fluid wavefront position, the wavefront velocity and the elevation variation at a given position are basically consistent with the existing experimental results. As the order of the basis function increases, the computation time will lengthen for about 1.5 times. However, the computation times of the BSMPM of different orders will uniformly increase approximately linearly with the background grid size. The validity of the WC?BSMPM simulation of the dam break flow problem was verified. The research provides a new idea and method for the simulation of dam break flow problems. © 2023 Editorial Office of Applied Mathematics and Mechanics. All rights reserved.
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| 关 键 词： | 溃坝流 B样条物质点法 自由表面流 人工状态方程 |
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