期刊文献+

A VERTICAL 2D MATHEMATICAL MODEL FOR HYDRODYNAMIC FLOWS WITH FREE SURFACE IN σ COORDINATE 被引量:15

A VERTICAL 2D MATHEMATICAL MODEL FOR HYDRODYNAMIC FLOWS WITH FREE SURFACE IN σ COORDINATE
原文传递
导出
摘要 Numerical models with hydrostatic pressure have been widely utilized in studying flows in rivers, estuaries and coastal areas. The hydrostatic assumption is valid for the large-scale surface flows where the vertical acceleration can be ignored, but for some particular cases the hydrodynamic pressure is important. In this paper, a vertical 2t) mathematical model with non-hydrostatic pressure was implemented in the σ coordinate. A fractional step method was used to enable the pressure to be decomposed into hydrostatic and hydrodynamic components and the predictor-corrector approach was applied to integration in time domain. Finally, several computational cases were studied to validate the importance of contributions of the hydrodynamic pressure. Numerical models with hydrostatic pressure have been widely utilized in studying flows in rivers, estuaries and coastal areas. The hydrostatic assumption is valid for the large-scale surface flows where the vertical acceleration can be ignored, but for some particular cases the hydrodynamic pressure is important. In this paper, a vertical 2t) mathematical model with non-hydrostatic pressure was implemented in the σ coordinate. A fractional step method was used to enable the pressure to be decomposed into hydrostatic and hydrodynamic components and the predictor-corrector approach was applied to integration in time domain. Finally, several computational cases were studied to validate the importance of contributions of the hydrodynamic pressure.
出处 《Journal of Hydrodynamics》 SCIE EI CSCD 2006年第1期82-90,共9页 水动力学研究与进展B辑(英文版)
基金 Project supported by the National Nature Science Foundation of China (Grant No :10172058) and Ministry of Education of China through the Ph.D. Program(Grant No :2000024817)
关键词 vertical 2D model free surface flow semiimplicit NON-HYDROSTATIC vertical 2D model, free surface flow, semiimplicit, non-hydrostatic
  • 相关文献

参考文献1

二级参考文献19

  • 1[2]M S Longeut-Higgins, E D Cokelet. The deformation of steep waves on water[A].I. A numerical method of computation. Proc. Roy. Soc. London: 1976, A350,1~26.
  • 2[3]S K Kim, P L F Liu, J A Liggett. Boundary integral equation solutions for solitary wave generation, propagation, and run-up[J]. Coastal Engineering, 1983, 7:299~317.
  • 3[4]S T Grilli, J Skourup, I A Sevendsen. An efficient boundary element method for nonlinear water waves[J]. Engineering Analysis With Boundary Elements, 1989, 6(2): 97~107.
  • 4[5]P L F Liu, H W Hsu, M H Lean. Applications of boundary integral equation methods for two-dimensional non-linear water wave problems[J]. Int. J. for Numer. Methods in Fluids, 1992, 15: 1119~1141.
  • 5[6]P Wang, Y Yao, M P Tulin. An efficient numerical tank for nonlinear water waves based on the multi-subdomain approach with BEM[J]. Int. J. for Numer. Methods in Fluids, 1995, 20: 1315~1336.
  • 6[7]K A Chang. A 2-D boundary integral equation model for water wave generation. propagation and run-up[Z]. M. S. thesis, Cornell University: 1994
  • 7[8]S T Grilli, et al. Breaking criterion and characteristics for solitary waves on slopes[J]. J. of Waterways, Port, Coastal and Ocean Eng. 1997, 123(3):102~140.
  • 8[9]H Liu, P F L Liu. Nonlinear caplillary-gravity waves produced by a vertically oscillating plate[J]. China Ocean Engineering, 1998, 12(2): 147~162.
  • 9[12]E V Laitone. The second approximation to cnoidal and solitary waves[J]. J. of Fluid Mechanics, 1960, 9:430~444.
  • 10[13]R Grimshaw. The solitary wave in water of variable depth, Part 2[J]. J. of Fluid Mechanics, 1971, 46: 611~622.

共引文献9

同被引文献58

引证文献15

二级引证文献75

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部