Numerical model of dam breaking flow with CBOS finite element method

被引：0
|
作者：
Wang, Da-Guo [1 ,2 ]
Tham, Leslie George [2 ]
Shui, Qing-Xiang [3 ]
Liu, Xia [2 ]
机构：
[1] Research Center for Numerical Tests on Material Failure, Dalian University
[2] Department of Civil and Structural Engineering, University of Hong Kong
[3] Department of Information Engineering, Dalian University
来源：
Gongcheng Lixue/Engineering Mechanics | 2013年 / 30卷 / 03期
关键词：
CBOS finite element method; Dam breaking; Fluid mechanics; Pseudo-concentration method; Wave model;
D O I：
10.6052/j.issn.1000-4750.2011.10.0705
中图分类号：
学科分类号：
摘要：
A new finite element method, which is the characteristic-based operator-splitting (CBOS) algorithm, is adopted to solve Navier-Stokes (N-S) equations. In each time step, the equations are split into a diffusive part and a convective part. The convective part is discretized using the characteristic Galerkin method and solved explicitly. The moving interface is captured by the pseudo-concentration method, thus, a new wave model is established. Through the validation of dam break failure onto a downstream dry bed or a wet bed, it is shown that the present model can accurately simulate the generation and the transmission of the dam breaking flow. We also study the evolution characteristics of the free surface in the dry bed case. Meanwhile, the generation of surge waves and the formation of curling waves are discussed for the wet bed case. In addition, it is analyzed that the pressure of the downstream bed suddenly increases under the impact of the surge waves on the water body of the downstream wet bed.
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页码：451 / 458
页数：7
相关论文
共 23 条
  • [1] Stansby P.K., Chegini A., Barnes T.C.D., The initial stages of dam-break flow, Journal of Fluid Mechanics, 374, pp. 407-424, (1998)
  • [2] Lauber G., Hager W.H., Experiments to dam break wave: Horizontal channel, Journal of Hydraulic Research, 36, 3, pp. 291-307, (1998)
  • [3] Wei W., Shen Y., Sun G., Et al., Numerical simulation of 2D dam-break flood wave, Journal of Hydraulic Engineering, 9, pp. 43-47, (2003)
  • [4] Chen J., Zhang Y., Wei C., Numerical simulation of propagation diffraction and reflection of 2-D dam-break wave, Journal of Hydraulic Engineering, 36, 5, pp. 569-574, (2005)
  • [5] Liang D., Evaluating shallow water assumptions in dam-break flows, Proceedings of the Institution of Civil Engineers-Water Management, 163, 5, pp. 227-237, (2010)
  • [6] Li G., He Y., Convergence of nonlinear Galerkin finite element algorithm for steady incompressible equations of the Navier Stokes type, Chinese Journal of Computation Physics, 14, 1, pp. 83-89, (1997)
  • [7] Christie I., Griffiths D.F., Mitchell A.R., Zienkiewicz O.C., Finite element methods for second order differential equations with significant first derivatives, International Journal for Numerical Methods in Engineering, 10, 6, pp. 1389-1396, (1976)
  • [8] Hughes T.J.R., Franca L.P., Hulbert G.M., A new finite element formulation for computational fluid dynamics: VIII. The Galerkin/least-squares method for adventive diffusive equations, Computer Methods in Applied Mechanics and Engineering, 73, 2, pp. 173-189, (1989)
  • [9] Donea J., A Taylor-Galerkin method for convective transport problems, International Journal for Numerical Methods in Engineering, 20, 1, pp. 101-119, (1984)
  • [10] Zienkiewicz O., Nithiarasu P., Codina R., Vazquez M., The characteristic-based-split procedure: An efficient and accurate algorithm for fluid problems, International Journal for Numerical Methods in Fluids, 31, 1, pp. 359-392, (1999)
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