Strongly nonlinear long interfacial waves in uniform basic flows and their dispersion relationship

Hongli Yang; Liangui Yang; Jinbao Song; Yijun Hou; Jianping Yang

doi:10.1007/s00343-009-0135-7

Your Location：

Home >

Browse articles >

Strongly nonlinear long interfacial waves in uniform basic flows and their dispersion relationship

OriginalPaper | Updated：2023-05-16

- Strongly nonlinear long interfacial waves in uniform basic flows and their dispersion relationship
- Strongly nonlinear long interfacial waves in uniform basic flows and their dispersion relationship
- 海洋湖沼学报（英文） 2009年27卷第1期页码：135-141
- Affiliations：
  
  1. School of Mathematical Sciences Inner Mongolia University
  2. Institute of Oceanology Chinese Academy of Sciences
  3. Key Laboratory of Ocean Circulation and Waves (KLOCAW) Chinese Academy of Sciences
  4. Inner Mongolia Machine Electricity Occupation Technical College
- Author bio：
- Funds：
  
  Supported by the Knowledge Innovation Programs of the Chinese Academy of Sciences (Nos. KZCX2-YW-201 and KZCX1-YW-12), the Natural Science Fund of the Educational Department, Inner Mongolia (No.NJzy08005) and the Science Fund for Young Scholars of Inner Mongolia University (No. ND0801)
- DOI：10.1007/s00343-009-0135-7
  中图分类号：
- 网络首发：2009-03-27，
  
  纸质出版：2009
- Accepted：
Scan QR Code
Strongly nonlinear long interfacial waves in uniform basic flows and their dispersion relationship[J]. 海洋湖沼学报（英文）, 2009,27(1):135-141.

Yang, H., Yang, L., Song, J. et al. Strongly nonlinear long interfacial waves in uniform basic flows and their dispersion relationship., Chin. J. Ocean. Limnol. 27, 135–141 (2009). https://doi.org/10.1007/s00343-009-0135-7
Strongly nonlinear long interfacial waves in uniform basic flows and their dispersion relationship[J]. 海洋湖沼学报（英文）, 2009,27(1):135-141. DOI： 10.1007/s00343-009-0135-7.

Yang, H., Yang, L., Song, J. et al. Strongly nonlinear long interfacial waves in uniform basic flows and their dispersion relationship., Chin. J. Ocean. Limnol. 27, 135–141 (2009). https://doi.org/10.1007/s00343-009-0135-7 DOI：

摘要

Abstract

In this paper

long interfacial waves of finite amplitude in uniform basic flows are considered with the assumption that the aspect ratio between wavelength and water depth is small. A new model is derived using the velocities at arbitrary distances from the still water level as the velocity variables instead of the commonly used depth-averaged velocities. This significantly improves the dispersion properties and makes them applicable to a wider range of water depths. Since its derivation requires no assumption on wave amplitude

the model thus can be used to describe waves with arbitrary amplitude.

关键词

Keywords

references

Boussinesq, J., 1872. Theorie des ondes et de ramous qui se propagent le long d’un canal rectangulaire horizontal, en communiquant au liquid contenu dans ce canal des vitesses sensiblement paralleles de la surface au fond. Journal de Mathematiques Pures et Appliquees 17: 55–108.

Choi, W. and R. Camassa, 1999. Fully nonlinear internal waves in a two-fluid system. J. Fluid Mech. 396: 1–36.

Keulegan, M. J., 1953. Characteristics of internal solitary waves. J. Res. Natl. Bur. Stand. 51: 133–140

Lamb, H., 1932. Hydrodynamics. Cambridge University Press, New York.

Long, R. R., 1956. Solitary waves in the one-fluid and 2-fluid systems. Tellus 8: 460–471.

Longuet-Higgins, M. S. and R. W. Stewart, 1960. Changes in form of short gravity waves on long waves and tidal currents. J. Fluid Mech. 8: 565–583.

Longuet-Higgins, M. S. and R. W. Stewart, 1961. The changes in amplitudes of short gravity waves on steady non-uniform currents. J. Fluid Mech. 10: 529–549.

Madsen, P. A., R. Murray and O. R. Sorensen, 1991. A new form of the Boussinesq equations with improved linear dispersion characteristics. Coast. Eng. 15: 371–388.

Madsen, P. A. and O. R. Sorensen, 1992. A new form of the Boussinesq equations with improved linear dispersion characteristics. Part 2. A slowly-varying bathmatry. Coast. Eng. 18: 183–204.

Nwogu, O., 1993. Alternative form of Boussinesq equations for nearshore wave propagation. J. Waterway, Port. Costal and Oc. Eng. 119(6): 618–638.

Peregrine, D. H., 1967. Long waves on a beach. J. Fluid Mech. 27: 815–827.

Song, J. B., 2006. A set of Boussinesq-type equations for interfacial internal waves in two-layer stratified fluid. Chinese Phys. 15: 2 796–2 803.

Stokes, G. G., 1847. On the theory of oscillatory waves. Trans. Camb. Phil. Soc. 8: 441–455.

Unna, P. J., 1942. Wave and tidal streams. Nature 149: 219–220.

Wei, G., J. T. Kirby, S. T. Grilli and R. Subramanya, 1995. A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves. J. Fluid Mech. 294: 71–92.

Witting, J. M., 1984. A unified model for the evolution of nonlinear water waves. J. Comput. Phys. 56: 203–236.

Yoon, S. B. and P. L. F. Liu, 1989. Interactions of currents and weakly nonlinear water waves in shallow water. J. Fluid Mech. 205: 397–419.

浏览量

Downloads

CSCD

文章被引用时，请邮件提醒。

Submit

工具集

关联资源

暂无数据