Simulation Study on Dam Break Flow Based on the B-Spline Material Point Method

XU Yunqing; ZHOU Xiaomin; ZHAO Shiyi; XU Shengfei; SUN Zheng

doi:10.21656/1000-0887.430363

Volume 44 Issue 8

Aug. 2023

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Article Navigation > Applied Mathematics and Mechanics > 2023 > 44(8): 921-930

XU Yunqing, ZHOU Xiaomin, ZHAO Shiyi, XU Shengfei, SUN Zheng. Simulation Study on Dam Break Flow Based on the B-Spline Material Point Method[J]. Applied Mathematics and Mechanics, 2023, 44(8): 921-930. doi: 10.21656/1000-0887.430363

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Simulation Study on Dam Break Flow Based on the B-Spline Material Point Method

doi: 10.21656/1000-0887.430363

XU Yunqing^1
,,
ZHOU Xiaomin^{1, 2},
ZHAO Shiyi¹,
XU Shengfei¹,
SUN Zheng^{1, 2
,
,}

1.
School of Civil and Surveying Engineering, Jiangxi University of Science and Technology, Ganzhou, Jiangxi 341000, P.R.China
2.
Jiangxi Provincial Key Laboratory of Environmental Geotechnical Engineering and Disaster Control, Jiangxi University of Science and Technology, Ganzhou, Jiangxi 341000, P.R.China

Received Date: 2022-11-10
Rev Recd Date: 2023-03-20
Publish Date: 2023-08-01

Abstract

Abstract

The dam break flow poses a common free surface flow problem in hydraulic engineering, and its accurate simulation is of great engineering significance. The B-spline material point method (BSMPM), as an improved 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.
- dam break flow,
- B-spline material point method,
- free surface flow,
- artificial equation of state

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References(27)

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