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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

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I. Steldermann, M. Torrilhon & J. Kowalski. (2023) Shallow Moments to Capture Vertical Structure in Open Curved Shallow Flow. Journal of Computational and Theoretical Transport 52:7, pages 475-505.
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C. Escalante, T. Morales de Luna, F. Cantero-Chinchilla & O. Castro-Orgaz. (2024) Vertically averaged and moment equations: New derivation, efficient numerical solution and comparison with other physical approximations for modeling non-hydrostatic free surface flows. Journal of Computational Physics 504, pages 112882.
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Oscar Castro-Orgaz, Pedro P. Gamero-Ojeda, Francisco N. Cantero-Chinchilla, Tomás Morales de Luna & Hubert Chanson. (2024) Application of high-level Green–Naghdi theory to sill-controlled flows. Environmental Fluid Mechanics 24:1, pages 19-56.
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Oscar Castro-OrgazWilli H. HagerNikolaos D. Katopodes. (2023) Variational Models for Nonhydrostatic Free-Surface Flow: A Unified Outlook to Maritime and Open-Channel Hydraulics Developments. Journal of Hydraulic Engineering 149:7.
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Pedro Gamero, Francisco N. Cantero-Chinchilla, Rafael J. Bergillos, Oscar Castro-Orgaz & Subhasish Dey. (2022) Shallow-water lee-side waves at obstacles: Experimental characterization and turbulent non-hydrostatic modeling using weighted-averaged residual equations. Environmental Modelling & Software 155, pages 105422.
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Yi Xiao, Jie Liu, Cuicui Qin & Fang Xu. (2022) Two-Dimensional Numerical Modeling of Flow Pattern and Bed Topography in Channel Bend. Environmental Modeling & Assessment 27:4, pages 715-726.
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Mohamed Elgamal. (2022) A Moment-Based Depth-Averaged K-ε Model for Predicting the True Turbulence Intensity over Bedforms. Water 14:14, pages 2196.
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Xin Chen, Minghong Chen, Jingkai Wu, Haifei Liu & Chen Yang. (2022) Approximate velocity formula over mobile sediment bed induced by velocity-skewed waves and current. International Journal of Sediment Research 37:3, pages 317-327.
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Jaehyun Shin & Il Won Seo. (2021) Nonlinear Shear Effects of the Secondary Current in the 2D Flow Analysis in Meandering Channels with Sharp Curvature. Water 13:11, pages 1486.
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Mohamed Elgamal. (2021) A Moment-Based Chezy Formula for Bed Shear Stress in Varied Flow. Water 13:9, pages 1254.
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Tatsuhiko Uchida & Shoji Fukuoka. (2019) Quasi-3D two-phase model for dam-break flow over movable bed based on a non-hydrostatic depth-integrated model with a dynamic rough wall law. Advances in Water Resources 129, pages 311-327.
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Yoshiharu TAKEMURA & Shoji FUKUOKA. (2019) ANALYSIS OF THE FLOW IN UNDULAR AND HYDRAULIC JUMP STILLING BASINS USING NON-HYDROSTATIC QUASI-THREE DIMENSIONAL MODEL CONSIDERING FLOW EQUATIONS ON BOUNDARY SURFACES波状跳水・完全跳水及びその減勢区間における境界面(水面・底面)上の流れの方程式を用いた非静水圧準三次元解析(Q3D-FEBS). Journal of Japan Society of Civil Engineers, Ser. B1 (Hydraulic Engineering) 75:1, pages 61-80.
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Tatsuhiko UchidaShoji FukuokaA. (Thanos) N. PapanicolaouAchilleas G. Tsakiris. (2016) Nonhydrostatic Quasi-3D Model Coupled with the Dynamic Rough Wall Law for Simulating Flow over a Rough Bed with Submerged Boulders. Journal of Hydraulic Engineering 142:11.
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M. Guan, N. G. Wright, P. A. Sleigh, S. Ahilan & R. Lamb. (2016) Physical complexity to model morphological changes at a natural channel bend. Water Resources Research 52:8, pages 6348-6364.
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Yebegaeshet Zerihun. (2016) A Numerical Study on Curvilinear Free Surface Flows in Venturi Flumes. Fluids 1:3, pages 21.
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Shoji FUKUOKA & Tatsuhiko UCHIDA. (2013) TOWARD INTEGRATED MULTI-SCALE SIMULATIONS OF FLOW AND SEDIMENT TRANSPORT IN RIVERS. Journal of Japan Society of Civil Engineers, Ser. B1 (Hydraulic Engineering) 69:4, pages II_1-II_10.
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Hiroshi SAKAMOTO, Mirei SHIGE-EDA & Juichiro AKIYAMA. (2012) NUMERICAL SIMULATION FOR FLOWS IN A SYMMETRICAL CONFLUENCE USING QUASI-3D NUMERICAL MODEL FOR FLOOD FLOWS. Journal of Japan Society of Civil Engineers, Ser. B1 (Hydraulic Engineering) 68:4, pages I_841-I_846.
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Jose A. VasquezRobert G. MillarPeter M. Steffler. (2011) Vertically-averaged and moment model for meandering river morphology. Canadian Journal of Civil Engineering 38:8, pages 921-931.
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Tatsuhiko UCHIDA & Shoji FUKUOKA. (2011) A BOTTOM VELOCITY COMPUTATION METHOD FOR ESTIMATING BED VARIATION IN A CHANNEL WITH SUBMERGED GROINS E. Journal of Japan Society of Civil Engineers, Ser. B1 (Hydraulic Engineering) 67:1, pages 16-29.
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Fu-Chun Wu, Yun-Chuan Shao & Yu-Chen Chen. (2011) Quantifying the forcing effect of channel width variations on free bars: Morphodynamic modeling based on characteristic dissipative Galerkin scheme. Journal of Geophysical Research 116:F3.
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Lorenzo Begnudelli, Alessandro Valiani & Brett F. Sanders. (2010) A balanced treatment of secondary currents, turbulence and dispersion in a depth-integrated hydrodynamic and bed deformation model for channel bends. Advances in Water Resources 33:1, pages 17-33.
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Cory Albers & Peter Steffler. (2007) Estimating Transverse Mixing in Open Channels due to Secondary Current-Induced Shear Dispersion. Journal of Hydraulic Engineering 133:2, pages 186-196.
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J Vasquez, P Steffler & R Millar. 2006. River, Coastal and Estuarine Morphodynamics. River, Coastal and Estuarine Morphodynamics.
. (2003) Current awareness. Hydrological Processes 17:16, pages 3379-3381.
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Haitham Kamal GhamryPeter M. Steffler. (2002) Effect of Applying Different Distribution Shapes for Velocities and Pressure on Simulation of Curved Open Channels. Journal of Hydraulic Engineering 128:11, pages 969-982.
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