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Original Articles

Two dimensional vertically averaged and moment equations for rapidly varied flows

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Pages 579-587 | Received 24 Jan 2002, Published online: 01 Feb 2010

References

  • Dressler , R. F. 1978 . New Nonlinear Shallow-flow Equations with Curvature . Journal of Hydraulic Research, IAHR , 16 ( 3 ) : 205 – 222 .
  • Fischer . 1979 . Mixing in Inland and Coastal Waters , 21 – 22 . Book, Academic Press . Subtitle 1.4.7 Velocity Distribution in Turbulent Shear Flow
  • Ghamry , H. 1999 . Two Dimensional Vertically Averaged and Moment Equations for Shallow Free Surface Flows , Water Resources Engineering, Department of Civil Engineering, University of Alberta . PhD Thesis
  • Ghanem , A. , Steffler , P. M. , Hicks , F. E. and Katopodis . 1995 . Two-Dimensional Finite Element Modeling of Flow in Aquatic Habitats , Water resources Engineering Report No. 95-S1 Department of Civil Engineering, University of Alberta .
  • Henderson , F. M. 1966 . Open Channel Flow. Book , New York : The Mcmillan Company .
  • Hicks , F. E. and Steffler , P. M. 1990 . nite Element Modeling of Open Channel Flow , Technical Report (WRE 90-6) Department of Civil Engineering, University of Alberta .
  • Hicks , F. E. and Steepler , P. M. 1992 . Characteristic Dissipative Galerkin Scheme for Open-Channel Flow . Journal of Hydraulic Engineering. ASCE , 118 ( 2 ) : 337 – 352 .
  • Hughes , T. J. R. and Mallet , M. 1986a . A new finite element formulation for computational fluid dynamics; III. The generalized streamline operator for multidimensional advective-diffusive systems . Computer Methods in Applied Mechanics and Engineering , 58 : 305 – 328 .
  • Hughes , T. J. R. and Mallet , M. 1986b . A new finite element formulation for computational fluid dynamics: IV A discontinuity-capturing operator for multidimensional advecti ve-diffusive systems . Computer Methods in Applied Mechanics and Engineering , 58 : 329 – 336 .
  • Hughes , T. J. R. , Mallet , M. and Mizukami , A. 1986 . A new finite element formulation for computational fluid dynamics: II. Beyond SUPG . Computer Methods in Applied Mechanics and Engineering , 54 : 341 – 355 .
  • Jin , Y. C. and Steffler , P. M. 1993 . Predicting Flow in Curved Open Channel by Depth-Averaged Method . Journal of Hydraulic Engineering, ASCE , 119 ( 1 ) January : 109 – 124 .
  • Jin , Yee-Chung and Li , Baozhu . 1996 . The Use of a Onedimensional Depth-averaged Moment of Momentum Equation for the Nonhydrostatic Pressure Condition . Canadian Journal of Civil Engineering , 23 : 150 – 156 .
  • Kennedy , J. F. 1963 . The Mechanics of Sediment Ripples, Dunes and Antidunes in Erodible Bed Channels . Journal of Fluid Mechanics , 16 : 521 – 544 . Part 4
  • Khan , A. 1995 . Modeling Rapidly Varied Open Channel Flows , Water Resources Engineering, Department of Civil Engineering, University of Alberta . PhD Thesis
  • Naef , Daniel R. . Extension of the 2-dimensional Shallow Water Approach Using Moment Equations . Proceedings of Hydroinformatics '96, 2nd international conference . Zurich, Switzerland.
  • Odgaard , A. Jacob , Sinha , Sanjiv K. and Sotiropoulos , Fotis . 1998 . Three-dimensional Numerical Model for Flow through Natural Rivers . Journal of Hydraulic Engineering, ASCE , 124 ( 1 ) : 13 – 24 .
  • Parshall , R. L. 1926 . The improved Venturi flume . Trans. ASCE, ASCE , 89 : 841 – 880 .
  • Shamloo , H. and Rajaratnam , N. 1997 . Hydraulics of Simple Habitat Structures in Open Channels , Water Resources Engineering, Department of Civil Engineering, University of Alberta . PhD Thesis
  • Shimuzi , Y. , Yamaguchi , H. and Itakura , T. 1990 . Three-dimensional Computation of Flow and Bed Deformation . Journal of Hydraulic Engineering, ASCE , 116 ( 9 ) : 1090 – 1108 .
  • Steffler , P. M. and Jin , Y. C. 1993 . Depth averaged and Moment Equations for Moderately Shallow Free Surface Flow . Journal of Hydraulic Research, IAHR , 31 ( 1 ) : 5 – 17 .
  • Ye , J. and McCorquodale , J. A. 1997 . Depth-averaged hydrodynamic model in curvilinear collacted grid . Journal of Hydraulic Engineering, ASCE , 123 ( 5 ) : 380 – 388 .

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