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Ideal shocks in 2-layer flow - Part II: Under a passive layer Cover

Ideal shocks in 2-layer flow - Part II: Under a passive layer

Open Access
|Jan 2001

References

  1. Armi , L . 1986 . The hydraulics of two flowing layers of different densities . J. Fluid Mech . 163 , 27 58 .
  2. Armi , L. and Williams , R . 1993 . The hydraulics of a stratified fluid flowing through a contraction . J. Fluid Mech . 251 , 355 375 .
  3. Baines , P. G. and Davies , P. A . 1980 . Laboratory studies of topographic effects in rotating and/or stratified fluids. GARP Pub. Ser . 23 , Orographic Effects in Plan-etary Flows, ICSU/WMO, pp. 233 - 299 .
  4. Baines , P. G . 1984 . A unified description of two-layer flow over topography . J. Fluid Mech . 146 , 127 167 .
  5. Baines , P. G . 1995 . Topographic effects in stratified flows . Cambridge University Press, 488 pp.
  6. Benton , S. G . 1954 . The occurrence of critical flow and hydraulic jumps in a multi-layered fluid system . J. of Meteorol . 11 , 139 150 .
  7. Chu , V. H. and Baddour , R. E . 1977 . Surges, waves and mixing in 2-layer density stratified flow. Proc. 17th Congr. Intl Assn Hydraul. Res ., vol. 1 , 303 310 .
  8. Gilmore , R . 1981 . Catastrophe theory for scientists and engineers . Wiley , New York , 666 pp .
  9. Houghton , D. D. C . 1964 . An example of interaction between finite-amplitude gravity waves. J. Atmos. Sc i . 21 , 493 499 .
  10. Houghton , D. D. C. and Kasahara , A . 1968 . Nonlinear shallow fluid flow over an isolated ridge . Commun. Pure Apple. Maths 21 , 1 23 .
  11. Houghton , D. D. C. and Isaacson , E . 1968 . Mountain winds . Studies in Num. Anal . 2 , 21 52 .
  12. Jiang , Q. and Smith , R. B . 2000 . V-wave, bow wave, and wakes in supercritical hydrostatic flow . J. Fluid Mech . 406 , 27 53 .
  13. Jiang , Q. and Smith , R. B . 2001 . Ideal shocks in two layer flow, Part I: Under a rigid lid . Tellus 53B , 129 145 .
  14. Klemp , J. B. , Rotunno , R. and Skamarock , W. C . 1997 . On the propagation on internal bores . J. Fluid Mech . 331 , 81 106 .
  15. Long , R. R . 1954 . Some respects of the flow of stratified fluids (II). Experiments with a two-fluid system . Tellus 6 , 97 115 .
  16. Long , R. R . 1956 . Solitary waves in the one and two fluids systems . Tellus 8 , 460 471 .
  17. Long , R. R . 1970 . Blocking effects in flow over obstacles . Tellus 22 , 471 480 .
  18. Long , R. R . 1972 . Finite amplitude disturbances in the flow of inviscid rotating and stratified fluids over obs-tacles . Ann. Rev. Fluid Mech . 4 , 69 92 .
  19. Mehrotra , S. C . 1973 . Limitation on the existence of shock solutions in a two fluid system . Tellus 15 , 169 173 .
  20. Mehrotra , S. C. and Kelly , R. E . 1973 . On the question of non-uniqueness of internal hydraulic jumps and drops on a two fluid system . Tellus 15 , 560 567 .
  21. Schär , C. and Smith , R. B . 1993 . Shallow-water flow past an isolated topography. Part I: Vorticity production and wake formation. J. Atmos. Sc i . 50 , 1373 1400 .
  22. Schär , C. and Smolarkiewicz , P. K . 1996 . A synchronous and iterative flux-correction formalism for coupled transport equations . J. Comput. Phys . 128 , 101 120 .
  23. Smith , R. B. and Smith , D. F . 1995 . Pseudoviscid wake formation by mountains in shallow water flow with a drifting vortex. J. Atmos. Sc i . 52 , 436 454 .
  24. Wood , I. R. and Simpson , J. E . 1984 . Jumps in layered miscible fluids . J. Fluid Mech . 140 , 329 342 .
  25. Yih , C. S. and Guha , C. R . 1955 . Hydraulic jump in a fluid system of two layers . Tellus 7 , 358 366 .
Language: English
Page range: 146 - 167
Submitted on: May 17, 1999
Accepted on: Oct 2, 2000
Published on: Jan 1, 2001
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 2001 Qingfang Jiang, Ronald B. Smith, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.