84
Views
17
CrossRef citations to date
0
Altmetric
Original Articles

Simulation of hydraulic jump with grid adaptation

&
Pages 555-569 | Received 20 Apr 1995, Published online: 13 Jan 2010

References

  • Abbot , M. B. 1979 . Computational Hydraulics; elements of the free surface flow , London, England : Pitman Publishing Limited .
  • Abbot , M. B. , Marshall , G. and Rodenhuis , G. S. Amplitude-dissipative and phasedissipative scheme for hydraulic jump simulation . 13th Congress IAHR, (Int. Association of Hydr. Res.) . Vol. 1 , pp. 313 – 329 . Tokyo, , Japan
  • Anderson , D. A. and Rai , M. M. The Use of Solution Adaptive Grids in Solving Partial Differential Equations . Proceedings of a Symposium on the Numerical Generation of Curvilinear Coordinate Systems and their Use in the Numerical Solution of Partial Differential Equations . April 13–16 . Nashville, TN
  • ASCE Task Force . 1964 . Energy dissipators for spillways and outlet works . J. Hydr. Div. ASCE , 90 ( 1 ) : 121 – 147 .
  • Basco , D. R. 1983 . Introduction to rapidly varied unsteady, free-surface flow computation , UAGS, Water Resour. Invest. Report No. 83-4284 Reston, VA : U. S. Geological Service .
  • Bakhmeteff , B. A. and Matzke , A. E. 1936 . The hydraulic jump in terms dynamic similarity . Trans. ASCE , 101 : 630 – 680 .
  • Belanger , J. B. 1828 . Essai sur la solution numerique de quelques problemes relatifs au mouvement permanent des eaux courantes, Report Paris, , France in French
  • Bidone , G. 1819 . Observations sur le hauteur du ressaut hydraulique en 1818, Report , Turin, , Italy : Royal Academy of Science . in French
  • Bradley , J. N. and Pateka , A. J. 1957 . hydraulic jump in a stilling basins . J. Hydr. Div. ASCE , 83 ( 5 ) : 1401 – 1406 .
  • Chaudhry , M. H. 1993 . Open-Channel Flow , Englewood Cliffs, New Jersey : Prentice Hall .
  • Chaudhry , M. H. 1987 . Applied Hydraulics Transients, , 2nd Ed. , New York, N.Y : Van Nostrand Reinhold Company .
  • Chaudhry , M. H. and Hussaini , M. Y. 1985 . Second-order explicit methods for transient flow analysis . J. Fluids Engrg. , 107 Dec : 523 – 529 .
  • Courant , R. , Friedrichs , K. and Lewy , H. 1928 . Uber die Partiellin Differenzengleichungen der Mathematischen Physik . Math. Ann. , 110 : 32 – 74 .
  • Chow , V. T. 1959 . Open Channel Hydraulics , New York, N.Y : McGraw-Hill Book Co., Inc .
  • Coyle , J. M. , Flaherty , J. E. and Ludwig , Raymond . 1986 . On the Stability of Mesh Equidistribution Strategies for Time-Dependent Partial Differential Equations . Journal of Computational Physics , 62 : 26 – 39 .
  • Dwyer , H. A. , Kel , R. J. and Sanders , B. R. 1980 . Adaptive Grid Methods for Problems in Fluid Mechanics and Heat Transfer . AIAA Journal , 18 ( 10 )
  • Gharangik , A. M. and Hanif , Chaudhry M. 1991 . Numerical Simulation of Hydraulic Jump . J. Hydr. Engrg., ASCE , 117 ( No. 9 ) : 1195 – 1211 .
  • Gottlieb , D. and Turkel , E. 1976 . Dissipative two-four methods for time-dependent problem . Mathematics of Computation , 30 ( 136 ) : 703 – 723 .
  • Hager , W. H. and Wanoschek , R. 1987 . Hydraulic jump in triangular channel . J. Hydr. Res. , 25 ( 5 ) : 549 – 564 .
  • Hindman , R. G. , Kutler , P. and Anderson , D. A. 1979 . A Two-Dimensional Unsteady Euler-Equation Solver for Flow Regions with Arbitrary Boundaries , AIAA Paper, 79-1465
  • Jameson , A. , Schmidt , W. and Turkel , E. Numerical solution of the Euler equations by finite volume methods using Runge-kutta time-stepping schemes . AIAA 14th Fluid and Plasma Dynamics Conf.: AIAA 81-1259 . Palo Alto, Calif. : American Institute of Aeronauticsand Astronautics .
  • Katopodes , N. D. 1984 . A dissipative Galerkin scheme for open-channel flow . J. Hydr. Engrg., ASCE , 110 ( 4 ) : 450 – 466 .
  • Lax , P. D. and Wendroff , B. 1960 . Systems of Conservation Laws . Comm, Pure Applied Math. , 13 : 217 – 237 .
  • MacCormack , R. W. 1969 . The Effect of Viscosity in Hypervelocity Impact Cratering , AIAA Paper 69-351 Cincinnati, Ohio
  • MacCowan , A. D. Equation systems for modeling flow in shallow water . XXI IAHR Congress . Vol. 2 , pp. 50 – 57 . Melbourne, , Australia : Int. Association of Hydro. Res .
  • McCorquodale , J. A. and Khalifa , A. 1983 . Internal Flow in Hydraulic Jumps . J. Hydr. Engrg. ASCE , 109 ( 5 ) : 684 – 701 .
  • Mass , W. J. and Vastano , A. C. 1978 . An Investigation of Dispersive and Nondispersive Long Wave Equations Applied to Oceans of Variable Depth , Tech. Pept. 78-8-T College Station : Dept. of Oceanography, Texas A\&M University .
  • Olsen , J. 1976 . Subsonic and Transonic Flow over Sharp and Round Nosed Nonlifting Airfoils , Columbus, Ohio : Ohio State University . Ph. D. Dissertation
  • Rai , M. M. and Anderson , D. A. 1982 . Application of Adaptive Grids to Fluid-Flow Problems with Asymtotic Solutions . AIAA Journal , 20 ( 4 ) : 496 – 502 .
  • Safranez , K. 1929 . Researches relating to the hydraulic jump , Bureau of Reclamation Files, Nos. 37 and 38 Denver, Colo : Bureau of Reclamation . English translation by D. P. Barnes
  • Sarma , K. V. N. and Newnham , D. A. April 1973 . Surface profiles of hydraulic jump for Froude number less than four, Water Resource Vol. 25 , April , 139 – 142 . London, England
  • Silvester , R. 1964 . Hydraulic jump in all shapes of horizontal channels . J. Hydr. Div. ASCE , 90 ( 1 ) : 23 – 25 .
  • Thomas , P. D. and Lombard , C. K. 1978 . The Geometric Conservation Law-A Link between Finite- Difference and Finite-Volume Methods of Flow Computation on Moving Grids , AIAA Paper, 78-1208
  • Thompson , J. F , Thames , F. C. and Mastin , C. M. 1974 . Automatic Numerical Generation of Body- Fitted Curvilinear Coordinate Systems for Fields Containing any Number of Arbitrary Two-Dimensional Bodies . Journal of Computational Physics , 15 : 299 – 319 .
  • Thomson , J. F. , Warsi , Z. U. A. and Mastin , C. W. 1985 . Numerical Grid Generation: Foundations and Application , North Holland .
  • Witham , G. B. 1974 . Linear and Non-Linear Waves , New York : John Wiley .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.