References
- Colagrossi , A. and Landrini , M. 2003 . Numerical simulation of interfacial flows by smoothed particle hydrodynamics . J. Comp. Phys , 191 ( 2 ) : 448 – 475 . (doi:10.1016/S0021-9991(03)00324-3)
- Crespo , A. J.C. , Gómez-Gesteira , M. and Dalrymple , R. A. 2007 . 3D SPH simulation of large waves mitigation with a dike . J. Hydraulic Res , 45 ( 5 ) : 631 – 642 . (doi:10.1080/00221686.2007.9521799)
- Crespo , A. J.C. , Gómez-Gesteira , M. and Dalrymple , R. A. 2008 . Modeling dam break behavior over a wet bed by a SPH technique . J. Waterway Port Coastal Ocean Eng , 134 ( 6 ) : 313 – 320 . (doi:10.1061/(ASCE)0733-950X(2008)134:6(313))
- Di Monaco , A. , Manenti , S. , Gallati , M. , Sibilla , S. , Agate , G. and Guandalini , R. 2011 . SPH modeling of solid boundaries through a semi-analytic approach . Eng. Appl. Comp. Fluid Mech , 5 ( 1 ) : 1 – 15 .
- Dominguez , J. M. , Crespo , A. J.C. , Gomez-Gesteira , M. and Marongiu , J. C. 2010 . Neighbour lists in smoothed particle hydrodynamics . Int. J. Numer. Methods Fluids , 67 ( 12 ) : 2026 – 2042 . (doi:10.1002/fld.2481)
- Ferrari , A. 2010 . SPH simulation of free surface flow over a sharp-crested weir . Adv. Water Res. , 33 ( 3 ) : 270 – 276 . (doi:10.1016/j.advwatres.2009.12.005)
- Fluent Inc. (2009). Fluent 12.0 user's guide Fluent Inc., Lebanon, NH.
- Gómez-Gesteira , M. and Dalrymple , R. A. 2004 . Using a 3D SPH method for wave impact on a tall structure . J. Waterway Port Coastal Ocean Eng. , 130 ( 2 ) : 63 – 69 . (doi:10.1061/(ASCE)0733-950X(2004)130:2(63))
- Gómez-Gesteira , M. , Cerqueiro , D. , Crespo , A. J.C. and Dalrymple , R. A. 2005 . Green water overtopping analyzed with an SPH model . Ocean Eng , 32 ( 2 ) : 223 – 238 . (doi:10.1016/j.oceaneng.2004.08.003)
- Gomez-Gesteira , M. , Rogers , B. D. , Dalrymple , R. A. and Crespo , A. J.C. 2010 . State-of-the-art of classical SPH for free-surface flows . J. Hydraulic Res. , 48 ( Suppl. 1 ) : 113 – 134 .
- Gotoh , H. and Sakai , T. 2006 . Key issues in the particle method for computation of wave breaking . Coastal Eng. , 53 ( 2–3 ) : 171 – 179 . (doi:10.1016/j.coastaleng.2005.10.007)
- Gotoh , H. , Shibahara , T. and Sakai , T. 2001 . Sub-particle-scale turbulence model for the MPS method-Lagrangian flow model for hydraulic engineering . Comput. Fluid Dyn. , 9 ( 4 ) : 339 – 347 .
- Hughes , J. and Graham , D. 2010 . Comparison of incompressible and weakly-compressible SPH models for free-surface water flows . J. Hydraulic Res. , 48 ( Extra Issue ) : 105 – 117 . (doi:10.1080/00221686.2010.9641251)
- Issa, R. (2004). Numerical assessment of the smoothed particle hydrodynamics gridless method for incompressible flows and its extension to turbulent flows. PhD Thesis, UMIST.
- Issa , R. , Lee , E. S. , Violeau , D. and Laurence , D. R. 2005 . Incompressible separated flows simulation with the smoothed particle hydrodynamics gridless method . Int. J. Numer. Methods Fluids , 47 ( 10–11 ) : 1101 – 1106 . (doi:10.1002/fld.864)
- Karim , M. F. , Tanimoto , K. and Hieu , P. D. 2009 . Modeling and simulation of wave transformation in porous structures using VOF based two-phase flow model . Appl. Math. Model. , 33 ( 1 ) : 343 – 360 . (doi:10.1016/j.apm.2007.11.016)
- Khayyer , A. and Gotoh , H. 2010 . On particle-based simulation of a dam break over a wet bed . J. Hydraulic Res. , 48 ( 2 ) : 238 – 249 . (doi:10.1080/00221681003726361)
- Koshizuka , S. and Oka , Y. 1996 . Moving particle semi-implicit method for fragmentation of incompressible fluid . Nucl. Sci. Eng. , 123 : 421 – 434 .
- Koshizuka , S. , Nobe , A. and Oka , Y. 1998 . Numerical analysis of breaking waves using the moving particle semi-implicit method . Int. J. Numer. Methods Fluids , 26 ( 7 ) : 751 – 769 . (doi:10.1002/(SICI)1097-0363(19980415)26:7<751::AID-FLD671>3.0.CO;2-C)
- Kulasegaram , S. , Bonet , J. , Lewis , R. W. and Profit , M. 2004 . A variational formulation based contact algorithm for rigid boundaries in two-dimensional SPH applications . Comput. Mech. , 33 ( 4 ) : 316 – 325 . (doi:10.1007/s00466-003-0534-0)
- Lee , E. S. , Moulinec , C. , Xu , R. , Violeau , D. , Laurence , D. and Stansby , P. 2008 . Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method . J. Comput. Phys , 227 ( 18 ) : 8417 – 8436 . (doi:10.1016/j.jcp.2008.06.005)
- Leu , J. M. , Chan , H. C. and Chu , M. S. 2008 . Comparison of turbulent flow over solid and porous structures mounted on the bottom of a rectangular channel . Flow Meas. Instrum. , 19 ( 6 ) : 331 – 337 . (doi:10.1016/j.flowmeasinst.2008.05.001)
- Liu , G. R. and Liu , M. B. 2003 . Smoothed particle hydrodynamics: A meshfree particle method , Singapore : World Scientific .
- Liu , G. R. and Liu , M. B. 2010 . Smoothed particle hydrodynamics: An overview and recent develops . Arch. Comput. Methods Eng , 17 ( 1 ) : 25 – 76 . (doi:10.1007/s11831-010-9040-7)
- Long , D. , Steffler , P. M. and Rajaratnam , N. 1990 . LDA study of flow structure in submerged hydraulic jumps . J. Hydraulic Res. , 28 ( 4 ) : 437 – 446 . (doi:10.1080/00221689009499059)
- Lyn , D. A. 1993 . Turbulence measurements in open-channel flows over artificial bed forms . J. Hydraulic Res. , 119 ( 3 ) : 306 – 326 . (doi:10.1061/(ASCE)0733-9429(1993)119:3(306))
- Maruzewski , P. , Le Touzé , D. , Oger , G. and Avellan , F. 2010 . SPH high-performance computing simulations of rigid solids impacting the free-surface of water . J. Hydraulic Res. , 48(Extra Issue) : 126 – 134 . (doi:10.1080/00221686.2010.9641253)
- Mohapatra , P. K. , Bhallamudi , S. M. and Eswaran , V. 2001 . Numerical study of flows with multiple free surfaces . Int. J. Numerical Methods Fluids , 36 ( 2 ) : 165 – 184 . (doi:10.1002/fld.126)
- Molteni , D. and Colagrossi , A. 2009 . A simple procedure to improve the presssure evaluation in hydrodynamic context using the SPH . Comput. Phys. Commun. , 180 ( 6 ) : 861 – 872 . (doi:10.1016/j.cpc.2008.12.004)
- Monaghan , J. J. 1988 . An introduction to SPH . Comput. Phys. Commun. , 48 ( 1 ) : 89 – 102 . (doi:10.1016/0010-4655(88)90026-4)
- Monaghan , J. J. 1992 . Smoothed particle hydrodynamics . Annu. Rev. Astron. Appl. , : 543 – 574 . 30(A93-25826 09-90) (doi:10.1146/annurev.aa.30.090192.002551)
- Monaghan , J. J. 1994 . Simulating free surface flows with SPH . J. Comput. Phys. , 110 ( 2 ) : 399 – 406 . (doi:10.1006/jcph.1994.1034)
- Monaghan , J. J. 1996 . Gravity currents and solitary waves . Phys. D. , 98 ( 2 ) : 523 – 533 . (doi:10.1016/0167-2789(96)00110-8)
- Monaghan , J. J. 2005 . Smoothed particle hydrodynamics . Rep. Prog. Phys. , 68 ( 8 ) : 1703 – 1759 . (doi:10.1088/0034-4885/68/8/R01)
- Monaghan , J. J. and Gingold , R. A. 1983 . Shock simulation by the particle method SPH . J. Comput. Phys. , 52 ( 2 ) : 374 – 389 . (doi:10.1016/0021-9991(83)90036-0)
- Monaghan, J.J., Kajtar, J.B. (2009). SPH boundary forces. Proc. Int. Conf. 4th ERCOFTAC SPHERIC Workshop on SPH Applications, Nantes, 216–219, Violeau, D., ed. SPHERIC. France.
- Monaghan , J. J. and Kos , A. 1999 . Solitary waves on a Cretan beach . J. Waterway Port Coastal Ocean Eng , 125 ( 3 ) : 145 – 154 . (doi:10.1061/(ASCE)0733-950X(1999)125:3(145))
- Monaghan , J. J. , Cas , R. A.F. , Kos , A. M. and Hallworth , M. 1999 . Gravity currents descending a ramp in a stratified tank . J. Fluid Mech. , 379 : 39 – 70 . (doi:10.1017/S0022112098003280)
- Sahebari , A. J. , Jin , Y. C. and Shakibaeinia , A. 2011 . Flow over sills by the MPS mesh-free particle method . J. Hydraulic Res. , 49 ( 5 ) : 649 – 656 . (doi:10.1080/00221686.2011.607302)
- Shakibaeinia , A. and Jin , Y. C. 2010 . A weakly compressible MPS method for modeling of open boundary free-surface flow . Int. J. Numer. Methods Fluids , 63 ( 10 ) : 1208 – 1232 .
- Shao , S. D. 2005 . SPH simulation of solitary wave interaction with a curtain-type breakwater . J. Hydraulic Res. , 43 ( 4 ) : 366 – 375 . (doi:10.1080/00221680509500132)
- Shao , S. D. and Gotoh , H. 2005 . Turbulence particle models for tracking free surfaces . J. Hydraulic Res. , 43 ( 3 ) : 276 – 289 . (doi:10.1080/00221680509500122)
- Takeda , H. , Miyama , S. M. and Sekiya , M. 1994 . Numerical simulation of viscous flow by smoothed particle hydrodynamics . Prog. Theor. Phys , 92 ( 5 ) : 939 – 960 . (doi:10.1143/PTP.92.939)
- Valizadeh , A. , Shafieefar , M. , Monaghan , J. J. and Salehi-Neyshaboori , S. 2008 . Modeling two-phase flows using SPH method . J. Appl. Sci. , 8 ( 21 ) : 3817 – 3826 . (doi:10.3923/jas.2008.3817.3826)
- Viccione , G. , Bovolin , V. and Carratelli , E. P. 2008 . Defining and optimizing algorithms for neighbouring particle identification in SPH fluid simulations . Int. J. Numer. Methods Fluids , 58 ( 6 ) : 625 – 638 . (doi:10.1002/fld.1761)
- Wang, X.Y. (2010). Experimental and numerical studies of open-channel turbulent flow over rough bed. PhD Thesis, Department of Building and Construction, City University of Hong Kong, September.