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Articles

Variable density bore interaction with block obstacles

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Pages 223-237 | Received 26 Jan 2010, Accepted 10 Mar 2011, Published online: 09 Jun 2011

References

  • Begnudelli , L. and Sanders , B. F. 2007 . Simulation of the St. Francis dam-break flood . ASCE Journal of Engineering Mechanics , 133 ( 11 ) : 1200 – 1212 .
  • Bertolo , P. and Wieczorek , G. F. 2005 . Calibration of numerical models for small debris flows in Yosemite Valley, California, USA . Natural Hazards and Earth Systems Sciences , 5 ( 6 ) : 993 – 1001 .
  • Berz , G. 2000 . Flood disasters: lessons from the past – worries for the future . Proceedings of the Institution of Civil Engineers – Water and Maritime Engineering , 142 ( 1 ) : 3 – 8 .
  • Burguete , J. , García-Navarro , P. and Murillo , J. 2008 . Preserving bounded and conservative solutions of transport in one-dimensional shallow-water flow with upwind numerical schemes: application to fertigation and solute transport in rivers . International Journal for Numerical Methods in Fluids , 56 ( 9 ) : 1731 – 1764 .
  • Caleffi , V. , Valiani , A. and Zanni , A. 2003 . Finite volume method for simulating extreme flood events in natural channels . Journal of Hydraulic Research , 41 ( 2 ) : 167 – 177 .
  • Cao , Z. , Pender , G. and Carling , P. 2006 . Shallow water hydrodynamic models for hyperconcentrated sediment-laden floods over erodible bed . Advances in Water Resources , 29 ( 4 ) : 546 – 557 .
  • Cao , Z. 2004 . Computational dam-break hydraulics over erodible sediment bed . ASCE Journal of Hydraulic Engineering , 130 ( 7 ) : 689 – 703 .
  • Causon , D. M. , Ingram , D. M. and Mingham , C. G. 2001 . A Cartesian cut cell method for shallow water flows with moving boundaries . Advances in Water Resources , 24 ( 8 ) : 899 – 911 .
  • Causon , D. M. 2000 . Calculation of shallow water flows using a Cartesian Cut Cell approach . Advances in Water Resources , 23 ( 5 ) : 545 – 562 .
  • Chen , J. , He , Y. P. and Wei , F. Q. 2005 . Debris flow erosion and deposition in Jiangjia Gully, Yunnan, China . Environmental Geology , 48 ( 6 ) : 771 – 777 .
  • Falconer , R. A. 1993 . “ An introduction to nearly-horizontal flows ” . In Coastal, estuarial, and harbour engineers' reference book , Edited by: Abbott , M. B. and Price , W. A. 27 – 36 . London : Chapman and Hall .
  • Fraccarollo , L. and Papa , M. 2000 . Numerical simulation of real debris-flow events . Physics and Chemistry of the Earth, Part B Hydrology, Oceans, and Atmosphere , 25 ( 9 ) : 757 – 763 .
  • Ghostine , R. 2009 . Simulation of supercritical flow in crossroads: confrontation of a 2D and 3D numerical approaches to experimental results . Computers & Fluids , 38 ( 2 ) : 425 – 432 .
  • Haider , S. 2003 . Urban flood modelling using computational fluid dynamics . Proceedings of the Institution of Civil Engineers, Water and Maritime Engineering , 156 ( 2 ) : 129 – 135 .
  • Han , G. D. and Wang , D. G. 1996 . Numerical modelling of Anhui debris flow . Journal of Hydraulic Research , 122 ( 5 ) : 262 – 265 .
  • Harten , A. , Lax , P. D. and van Leer , B. 1983 . On upstream differencing and Godunov-type schemes for hyperbolic conservation laws . SIAM Review , 25 ( 1 ) : 35 – 61 .
  • Hubbard , M. E. and García-Navarro , P. 2000 . Flux difference splitting and the balancing of source terms and flux gradients . Journal of Computational Physics , 165 ( 1 ) : 89 – 125 .
  • Hungr , O. 1995 . A model for the runout analysis of rapid flow slides, debris flows and avalanches . Canadian Geotechnical Journal , 32 ( 4 ) : 610 – 623 .
  • Hunter , N. M. 2008 . Benchmarking 2D hydraulic models for urban flood simulations . Proceedings of the Institution of Civil Engineers, Water Management , 161 ( 1 ) : 13 – 30 .
  • Hutter , K. , Svendsen , B. and Rickenmann , D. 1996 . Debris flow modelling: a review . Continuum Mechanics and Thermodynamics , 8 ( 1 ) : 1 – 35 .
  • Iverson , R. M. 1997 . The physics of debris flows . Reviews of Geophysics , 35 ( 3 ) : 245 – 296 .
  • Jain , S. C. 2000 . Open-channel flow , New York : John Wiley & Sons .
  • Jan , C. D. and Shen , H. W. 1997 . “ Review dynamic modelling of debris flows ” . In Recent Developments on Debris Flows , Edited by: Armanini , A. and Michiue , M. 93 – 116 . Berlin, , Germany : Springer-Verlag . Lecture Notes in Earth Science
  • Leighton , F. Z. 2005 . Numerical modelling of shallow flows with horizontal density variation , UK : University of Oxford . Thesis (DPhil)
  • Leighton , F. Z. , Borthwick , A. G.L. and Taylor , P. H. 2010 . 1-D numerical modelling of shallow flows with variable horizontal density . International Journal for Numerical Methods in Fluids , 62 ( 11 ) : 1209 – 1231 .
  • LeVeque , R. J. 1998 . Balancing source terms and flux gradients in high-resolution Godunov methods: the quasi-steady wave-propagation algorithm . Journal of Computational Physics , 146 ( 1 ) : 346 – 365 .
  • Liang , Q. , Borthwick , A. G.L. and Stelling , G. 2004 . Simulation of dam- and dyke-break hydrodynamics on dynamically adaptive quadtree grids . International Journal for Numerical Methods in Fluids , 46 ( 2 ) : 127 – 162 .
  • Liang , D. , Lin , B. and Falconer , R. A. 2007a . Coupling surface and subsurface flows in a depth averaged flood wave model . Journal of Hydrology , 332 ( 1–2 ) : 147 – 158 .
  • Liang , Q. 2007b . Shallow flow simulation on dynamically adaptive cut-cell quadtree grids . International Journal for Numerical Methods in Fluids , 53 ( 12 ) : 1777 – 1799 .
  • Liang , Q. 2008 . Flood inundation modeling with an adaptive quadtree grid shallow water equation solver . ASCE Journal of Hydraulic Engineering , 134 ( 11 ) : 1603 – 1610 .
  • Mignot , E. , Paquier , A. and Haider , S. 2006 . Modeling floods in a dense urban area using 2D shallow water equations . Journal of Hydrology , 327 ( 1 ) : 186 – 199 .
  • Mignot , E. , Paquier , A. and Rivière , N. 2008 . Experimental and numerical modeling of symmetrical four-branch supercritical cross junction flow . Journal of Hydraulic Research , 46 ( 6 ) : 723 – 738 .
  • Murillo , J. 2005 . Coupling between shallow water and solute flow equations: analysis and management of source terms in 2D . International Journal for Numerical Methods in Fluids , 49 ( 3 ) : 267 – 299 .
  • Nanía , L. S. , Gómez , M. and Dolz , J. 2004 . Experimental study of the dividing flow in steep street crossings . Journal of Hydraulic Research , 42 ( 4 ) : 406 – 412 .
  • O'Brien , J. S. , Julien , P. Y. and Fullerton , W. T. 1993 . Two-dimensional water flood and mud flow simulation . ASCE Journal of Hydraulic Engineering , 119 ( 2 ) : 244 – 261 .
  • Pan , C. , Dai , S. and Chen , S. 2006 . Numerical simulation for 2D shallow water equations by using Godunov-type scheme with unstructured mesh . Journal of Hydrodynamics , 18 ( 4 ) : 475 – 480 .
  • Pirulli , M. and Sorbino , G. 2008 . Assessing potential debris flow runout: a comparison of two simulation models . Natural Hazards and Earth Systems Science , 8 ( 4 ) : 961 – 971 .
  • Rickenmann , D. 2006 . Comparison of 2D debris-flow simulation models with field events . Computational Geosciences , 10 ( 2 ) : 241 – 264 .
  • Rivière , N. and Perkins , R. J. Supercritical flow in channel intersections . Proceedings of RiverFlow 2004, 2nd International Conference on Fluvial Hydraulics . Edited by: Greco , M. , Carravetta , A. and Della Morte , R. Vol. 2 , pp. 1073 – 1077 . Napoli, , Italy : IAHR .
  • Rogers , B. D. , Borthwick , A. G.L. and Taylor , P. H. 2003 . Mathematical balancing of flux gradient and source terms prior to using Roe's approximate Riemann solver . Journal of Computational Physics , 192 ( 2 ) : 422 – 451 .
  • Rogers , B. D. , Fujihara , M. and Borthwick , A. G.L. 2001 . Adaptive Q-tree Godunov-type scheme for shallow water equations . International Journal for Numerical Methods in Fluids , 35 ( 3 ) : 247 – 280 .
  • Shabayek , S. , Steffler , P. and Hicks , F. 2002 . Dynamic model for subcritical combining flows in channel junctions . ASCE Journal of Hydraulic Engineering , 128 ( 9 ) : 821 – 828 .
  • Soares-Frazão , S. and Zech , Y. 2008 . Dam-break flow through an idealised city . Journal of Hydraulic Research , 46 ( 5 ) : 648 – 658 .
  • Soares-Frazão , S. 2008 . Two-dimensional shallow-water model with porosity for urban flood modelling . Journal of Hydraulic Research , 46 ( 1 ) : 45 – 64 .
  • Takahashi , T. 2007 . Debris flow: mechanics, prediction and countermeasures , London : Taylor & Francis .
  • Toro , E. F. 2001 . Shock-capturing methods for free-surface shallow flows , Chichester : John Wiley & Sons .
  • Toro , E. F. , Spruce , M. and Speares , W. 1994 . Restoration of the contact surface in the HLL-Riemann solver . Shock Waves , 4 ( 1 ) : 25 – 34 .
  • van Leer , B. 1979 . Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method . Journal of Computational Physics , 32 ( 1 ) : 101 – 136 .
  • Yang , J. Y. and Hsu , C. A. 1993 . Computations of free-surface flows. Part 2: Two dimensional unsteady bore diffraction . Journal of Hydraulic Research , 31 ( 3 ) : 403 – 413 .

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