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Ideal shocks in 2-layer flow - Part I: Under a rigid lid Cover

Ideal shocks in 2-layer flow - Part I: Under a rigid lid

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. Baines , P. G . 1984 . A unified description of two-layer flow over topography . J. Fluid Mech . 146 , 127 167 .
  3. Baines , P. G . 1995 . Topographic effects in stratified flows . Cambridge University Press, 488 pp.
  4. 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 .
  5. Benjamin , T. B . 1968 . Gravity currents and related phen-omena . J. Fluid Mech . 31 , 209 248 .
  6. Chu , V. H. and Baddour , R. E . 1977 . Surges, waves and mixing in two layer density stratified flow. Proc. 17th Congr . Intl Assn Hydraul. Res . 1 , 303 310 .
  7. Davies , H. C . 1983 . Limitations of some common lateral boundary schemes in regional NWP models . Mon. Wea. Rev . 111 , 1002 1012 .
  8. Grubi§ié , V. , Smith , R. B. and Schär , C . 1995 . The effect of bottom friction on shallow-water flow past an isol-ated obstacle . J. Atmos. Sci . 52 , 1985 2005 .
  9. Gustafsson , B. and Sundstrom , A . 1978 . Incompletely parabolic problems in fluid dynamics . SIAM J. Appl. Math . 35 , 343 357 .
  10. Hayakawa. N . 1970 . Internal hydraulic jump in coherent stratified flow. J. of the Engineering Mechanics Division (ASCE) 96, no. EMS, 797 - 800 .
  11. Houghton , D. D. C . 1964 . An example of interaction between finite-amplitude gravity waves . J. Atmos. Sci . 21 , 493 499 .
  12. Houghton , D. D. C. and Kasahara , A . 1968 . Nonlinear shallow fluid flow over an isolated ridge . Commun. Pure Appl. Maths . 21 , 1 23 .
  13. Houghton , D. D. C. and Isaacson , E . 1968 . Mountain winds . Studies in Num. Anal . 2 , 21 52 .
  14. Jiang , Q. and Smith , R. B . 2000 . V-wave, bow wave, and wakes in supercritical hydrostatic flow . J. Fluid Mech . 406 , 27 53 .
  15. Jiang , Q. and Smith , R. B . 2001 . Ideal shocks in two layer flow, Part II: Under a passive layer . Tellus 53A , 146 167 .
  16. Klemp , J. B. , Rotunno , R. and Skamarock , W. C . 1997 . On the propagation on internal bores . J. Fluid Mech . 331 , 81 106 .
  17. Long , R. R . 1954 . Some aspects of the flow of stratified fluids (II). Experiments with a two-fluid system . Tellus 6 , 97 115 .
  18. Long , R. R . 1970 . Blocking effects in flow over obstacles . Tellus 22 , 471 480 .
  19. 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 .
  20. Mehrotra , S. C . 1973 . Limitation on the existence of shock solutions in a two fluid system . Tellus 15 , 169 173 .
  21. 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 .
  22. Pan , F. and Smith , R. B . 1999 . Gap winds and wakes: SAR observations and numerical simulations . J. Atmos. Sci . 56 , 905 923 .
  23. Rottman , J. W. and Simpson , J. E . 1989 . The formation of internal bores in the atmosphere: a laboratory model . Quart. J. Roy. Meteo. Soc . 115 , 941 963 .
  24. Rouse , H. , Siao , T. T. and Nagaratnam , S . 1959 . Turbu-lence characteristics of the hydraulic jumps . Trans. Amer. Soc. Civ. Eng . 124 , 926 966 .
  25. Schär , C. and Smith , R. B . 1993 . Shallow-water flow past an isolated topography. Part I: Vorticity production and wake formation . J. Atmos. Sci . 50 , 1373 1400 .
  26. Schär , C. and Smolarkiewicz , P. K . 1996 . A synchronous and iterative flux-correction formalism for coupled transport equations . J. Comput. Phys . 128 , 101 120 .
  27. Smith , R. B . 1977 . Formation of folds, boudinage, and mullions in non-Newtonian materials . Geological Soci-ety of America Bulletin 88 , 312 320 .
  28. Smith , R. B. and Smith , D. F . 1995 . Pseudoviscid wake formation by mountains in shallow water flow with a drifting vortex . J. Atmos. Sci . 52 , 436 454 .
  29. Smith R. B. , Gleason , A. C. , Gluhosky , P. A. and Grubi§ia , V . 1997 . The wake of St . Vincent. J. Atmos. Sci . 54 , 606 623 .
  30. Whitham , G. B . 1974 . Linear and non-linear waves . Wiley and Sons , New York , 636 pp .
  31. Wood , I. R. and Simpson , J. E . 1984 . Jumps in layered miscible fluids . J. Fluid Mech . 140 , 329 342 .
  32. 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: 129 - 145
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.