Wave trapping and upstream influence in stratified flow of large depth

Journal of Fluid Mechanics

Volumn 491, Issue , 2003, Pages 301-324

  Prasad, Dilip ^a   Akylas, T R ^b  

^a Pratt Whitney   (United States)

^b Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF FLUIDS; HYDROSTATIC PRESSURE; RESONANCE; THERMAL STRATIFICATION; WAVEGUIDES;

VERTICAL FLUCTUATIONS;

FLUID MECHANICS;

FLUID MECHANICS; GRAVITY WAVE; STRATIFIED FLOW;

EID: 0142027692     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112003005470     Document Type: Article

References (16)

1. AKYLAS, T. R. 1987 Nonlinear forced wave phenomena. In Nonlinear Wave Interactions in Fluids (ed. R. W. Miksad, T. R. Akylas & T. Herbert), vol. 87, p. 157. ASME-AMD.
2. BAINES, P. G. 1995 Topographic Effects in Stratified Flows. Cambridge University Press.
3. CLARKE, S. R. & GRIMSHAW, R. H. J. 1999 The effect of weak shear on finite-amplitude internal solitary waves. J. Fluid Mech. 395, 125.
4. DUBREIL-JACOTIN, M. L. 1937 Sur les théorèmes d'existence relatifs aux ondes permanents périodiques à deux dimensions dans les liquides hétérogènes. J. Maths Pure Appl. 16, 43.
5. GRIMSHAW, R. H. J., CHAN, K. H. & CHOW, K. W. 2002 Transcritical flow of a stratified fluid: the forced extended Korteweg-de Vries model. Phys. Fluids 14, 755.
6. GRIMSHAW, R. H. J. & SMYTH, N. 1986 Resonant flow of a stratified fluid over topography. J. Fluid Mech. 169, 429.
7. GRIMSHAW, R. & YI, X. 1991 Resonant generation of finite-amplitude waves by the flow of a uniformly stratified fluid over topography. J. Fluid Mech. 229, 603.
8. HELFRICH, K. R. & MELVILLE, W. K. 1986 On long nonlinear internal waves over slope-shelf topography. J. Fluid Mech. 167, 285.
9. KAKUTANI, T. & YAMASAKI, N. 1978 Solitary waves on a two-layer fluid. J. Phys. Soc. Japan 45, 674.
10. KANTZIOS, Y. D. & AKYLAS, T. R. 1993 An asymptotic theory of nonlinear stratified flow of large depth over topography. Proc. R. Soc. Lond. A 440, 639 (referred to herein as KA).
11. LONG, R. R. 1953 Some aspects of the flow of a stratified fluid. I. A theoretical investigation. Tellus 5, 42.
12. MILES, J. W. 1979 On internal solitary waves. Tellus 31, 456.
13. PHILLIPS, O. M. 1968 The interaction trapping of internal gravity waves. J. Fluid Mech. 34, 407.
14. PRASAD, D., RAMIREZ, J. & AKYLAS, T. R. 1996 Stability of stratified flow of large depth over finite-amplitude topography. J. Fluid Mech. 320, 369.
15. ROTTMAN, J. W., BROUTMAN, D. & GRIMSHAW, R. 1996 Numerical simulations of uniformly stratified fluid flow over topography. J. Fluid Mech. 306, 1.
16. SHAPIRO, R. 1975 Linear filtering. Maths Comput. 29, 1094.