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Original Articles

A depth-averaged turbulence model for the computation of free-surface flow

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Pages 415-444 | Received 17 Nov 1993, Published online: 14 Jan 2010

References

  • Ahmad , D. 1967 . Circular Hydraulic Jump , Fort Collins, Colorado : Colorado State University . M.S. thesis
  • Anderson , D. A. , Tannehill , J. C. and Pletcher , R. H. 1984 . Computational Fluid Mechanics and Heat Transfer , New York, N.Y : McGraw Hill .
  • Beam , R. M. and Warming , R. F. 1976 . An Implicit Finite-Difference Algorithm for Hyperbolic Systems in Conservation-Law Form . Jour. Comp. Phys. , 22 : 87 – 110 .
  • Bhallamudi , S. M. and Chaudhry , M. H. 1992 . Computation of Flows in Open-Channel Transitions . J. of Hydraulic Research , 30 ( 1 ) : 77 – 93 .
  • Booij , R. . Depth-Averaged k-∊; modeling . 23rd IAHR Congress . pp. A-199 – A-206 . Ottawa, , Canada
  • Chapman , R. S. and Kuo , C. Y. 1985 . Application of the Two-equation x-e Turbulence Model to a Two- Dimensional, Steady, Free Surface Flow Problem with Separation . International J. for Num. Methods in Fluids , 5 : 257 – 268 .
  • Chaudhry , M. H. 1993 . Open-Channel Flow , Englewood Cliffs, NJ : Prentice Hall .
  • Ellis , J. and Pender , G. 1982 . Chute Spillway Design Calculations . Proc. Instn. Civ. Engrs, Part 2 , 73 : 299 – 312 .
  • Fennema , R. J. and Chaudhry , M. H. 1990 . Explicit Methods for 2-D Transient Free-Surface Flows . J. Hydraulic Engg., ASCE , 116 ( 8 ) : 1013 – 1034 .
  • Fennema , R. J. and Chaudhry , M. H. 1989 . Implicit Methods for Two-Dimensional Unsteady Free- Surface Flows . J. Hydraulic Res., IAHR , 27 ( 3 ) : 321 – 332 .
  • Gonsovski , P. 1978 . Das Ausbreitungsverhalten Von Abwame-und Abwassereinleitungen in Gewässern , Bericht Nr. 549A Karlsruhe : Inst. f. Hydromechanik, Universitat .
  • Herbich , J. B. and Walsh , P. 1972 . Supercritical Flow in Rectangular Expansions . J. Hydraulics Div., ASCE , 98 ( HY9 ) : 1691 – 1700 .
  • Jimenez , O. F. and Chaudhry , M. H. 1988 . Computation of Supercritical Free-Surface Flows . J. Hydraulic Engg., ASCE , 114 ( 4 ) : 377 – 395 .
  • Khalifa , A. M. and McCorquodale , J. A. 1979 . Radial Hydraulic Jump . J. Hydraulics Div., ASCE , 105 ( HY9 ) : 1065 – 1078 .
  • Khalifa , A. 1980 . Theoretical and Experimental Study of the Radial Hydraulic Jump , Windsor, Ontario, , Canada : University of Windsor . Ph.D. dissertation
  • Knight , C. J. and Choi , D. 1989 . Development of a Viscous Cascade Code Based on Scalar Implicit Factorization . AIAA Journal , 27 ( 5 ) : 581 – 594 .
  • Koloseus , H. J. and Ahmad , D. 1969 . Circular Hydraulic Jump . J. Hydraulics Div., ASCE , 95 ( HY1 ) : 409 – 422 .
  • Krishnappan , B. G. and Lau , Y. L. 1986 . Turbulence Modeling of Flood Plain Flows . J. Hydraulic Engg., ASCE , 112 ( 4 ) : 251 – 265 .
  • Kuipers , J. and Vreugdenhil , C. B. 1973 . Calculations of Two-dimensional Horizontal Flow , Report S163 Delft, , The Netherlands : Delft Hydraulics Lab . Part I
  • Launder , B. E. and Spalding , D. B. 1974 . The Numerical Computation of Turbulent Flows . Computer Methods in applied Mechanics and Engineering , 3 : 269 – 289 .
  • Leschziner , M. A. and Rodi , W. 1981 . Calculation of Annular and Parallel Jets Using Various Discretization Schemes and Turbulence Model Variations . J. Fluids Engg., Transactions, ASME , 103
  • Liggett , J. A. and Vasudev , S. U. . Slope and Friction Effects in Two-Dimensional High Speed Channel Flow . 11th IAHR Congress . Vol. 1 , pp. 1 – 12 . Leningrad, , U.S.S.R. Paper 1.25
  • McCorquodale , J. A. and Khalifa , A. M. 1980 . Submerged Radial Hydraulic Jump . J. of Hydraulics Div., ASCE , 106 ( HY3 ) : 355 – 367 .
  • McGuirk , J. J. and Rodi , W. 1978 . A Depth-Averaged Mathematical Model for the Near Field of Side Discharges into Open-Channel Flow . J. Fluid Mech. , 86 ( 4 ) : 761 – 781 .
  • Ponce , V. M. and Yabusaki , S. B. 1981 . Modeling Circulation in Depth-Averaged Flow . J. Hydraulics Div., ASCE , 107 ( HY11 ) : 1501 – 1518 .
  • Rastogi , A. K. 1978 . “ Private communications with W. Rodi (1980) ” . In Turbulence Models and their Application in Hydraulics: a state-of-the-art review , 50 Delft, , Netherland : Presented by IAHR-Section on Fundamentals of Division II: Experimental and Mathematical Fluid Dynamics .
  • Rastogi , A. K. and Rodi , W. 1978 . Predictions of heat and Mass Transfer in Open Channels . J. Hydraulics Div., ASCE , 104 ( HY3 ) : 397 – 420 .
  • Richtmyer , R. D. and Morton , K. W. 1967 . Difference Methods for Initial Value Problems, , 2nd edition , New York : John Wiley and Sons .
  • Riegel , R. M. and Beebe , J. C. 1917 . The Hydraulic Jump as a Means of Dissipating Energy, Technical Report, Part III , Miami Conservancy District .
  • Rodi , W. 1980 . Turbulence Models and their Application in Hydraulics: a state-of-the-art review Delft, , The Netherland Presented by IAHR-Section on Fundamentals of Division II: Experimental and Mathematical Fluid Dynamics
  • Steger , J. L. 1978 . Implicit Finite-Difference Simulation of Flow about Arbitrary Two-Dimensional Geometries . AIAA Journal , 16 ( 7 ) : 679 – 686 .
  • Towne , Schwabe , Benson and Shuresh . 1990 . PROTEUS Two-Dimensional Navier-Stokes Computer Code Version 1.0 , NASA Technical Memorandam 102551 Cleveland, Ohio : NASA Lewis Research Center .
  • Vreugdenhil , C. B. and Wijbenga , J. H. A. 1982 . Computation of Flow Patterns in Rivers . J. Hydraulics Div., ASCE , 108 ( HY11 ) : 1296 – 1310 .
  • Walsh , P. 1968 . Supercritical Flow in Rectangular Expansions , College Station, Texas : Texas A & M University . Master thesis
  • Younus , M. 1993 . Computation of Free-Surface Flow by using Depth-Averaged Turbulence Model, , Pullman, WA : Washington State University . Ph.D. dissertation
  • Yu , L. R. and Zhang , S. N. . A New Depth-Averaged Two-Equation ([kcirc]-[wtilde]) Turbulent Closure Model . Proc. 3rd International Symposium on Refined Flow Modeling and Turbulent Measurement . July 1988 . pp. 549 – 555 . Tokoyo, , Japan

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