References

Asai, M., A.M. Aly, Y. Sonoda and Y. Sakai, 2012. A stabilized incompressible SPH method by relaxing the density invariance condition. J. Applied Math., Vol. 2012. 10.1155/2012/139583

Ataie-Ashtiani, B., G. Shobeyri and L. Farhadi, 2008. Modified incompressible SPH method for simulating free surface problems. Fluid Dynamics Res., 40: 637-661.
CrossRef  |  Direct Link  |  

Cleary, P.W., 1998. Modelling confined multi-material heat and mass flows using SPH. Applied Math. Model., 22: 981-993.
CrossRef  |  Direct Link  |  

Cummins, S.J. and M. Rudman, 1999. An SPH projection method. J. Comput. Phys., 152: 584-607.
CrossRef  |  Direct Link  |  

Gingold, R.A. and J.J. Monaghan, 1977. Smoothed particle hydrodynamics: Theory and application to non-spherical stars. Monthly Notices Royal Astronomical Soc., 181: 375-389.
CrossRef  |  Direct Link  |  

Gotoh, H., A. Khayyer, H. Ikari, T. Arikawa and K. Shimosako, 2014. On enhancement of Incompressible SPH method for simulation of violent sloshing flows. Applied Ocean Res., 46: 104-115.
CrossRef  |  Direct Link  |  

Heller, V., W.H. Hager and H.E. Minor, 2005. Ski jump hydraulics. J. Hydraulic Eng., 131: 347-355.
CrossRef  |  Direct Link  |  

Hieber, S.E. and P. Koumoutsakos, 2008. A Lagrangian particle method for the simulation of linear and nonlinear elastic models of soft tissue. J. Comput. Phys., 227: 9195-9215.
CrossRef  |  Direct Link  |  

Hu, C. and M. Kashiwagi, 2004. A CIP-based method for numerical simulations of violent free-surface flows. J. Mar. Sci. Technol., 9: 143-157.
CrossRef  |  Direct Link  |  

Husain, S.M., J.R. Muhammed, H.U. Karunarathna and D.E. Reeve, 2014. Investigation of pressure variations over stepped spillways using smooth particle hydrodynamics. Adv. Water Resour., 66: 52-69.
CrossRef  |  Direct Link  |  

Hwang, S.C., A. Khayyer, H. Gotoh and J.C. Park, 2014. Development of a fully lagrangian MPS-based coupled method for simulation of fluid-structure interaction problems. J. Fluids Struct., 50: 497-511.
CrossRef  |  Direct Link  |  

Juon, R. and W.H. Hager, 2000. Flip bucket without and with deflectors. J. Hydraulic Eng., 126: 837-845.
CrossRef  |  Direct Link  |  

Koshizuka, S. and Y. Oka, 1996. Moving-particle semi-implicit method for fragmentation of incompressible fluid. Nuclear Sci. Eng., 123: 421-434.
Direct Link  |  

Lopez, D., R. Marivela and L. Garrote, 2010. Smoothed particle hydrodynamics model applied to hydraulic structures: A hydraulic jump test case. J. Hydraulic Res., 48: 142-158.
CrossRef  |  Direct Link  |  

Monaghan, J.J. and A. Kos, 2000. Scott Russell's wave generator. Phys. Fluids, 12: 622-630.
CrossRef  |  Direct Link  |  

Shakibaeinia, A. and Y.C. Jin, 2009. Lagrangian modeling of flow over spillways using the moving particle semi-implicit method. Proceedings of the 33rd IAHR Congress, Water Engineering for a Sustainable Environment, August 9-14, 2009, Vancouver -.

Shakibaeinia, A. and Y.C. Jin, 2012. MPS mesh-free particle method for multiphase flows. Comput. Methods Applied Mech. Eng., 229: 13-26.
CrossRef  |  Direct Link  |  

Shao, S. and E.Y. Lo, 2003. Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface. Adv. Water Resour., 26: 787-800.
CrossRef  |  Direct Link  |  

Shirkhani, H., M. Khanpour and A.R. Zarrati, 2014. Development of mesh-free particle technique for simulation of non-hydrostatic free surface flow. Comput. Fluids, 105: 8-15.
CrossRef  |  Direct Link  |  

Shobeyri, G. and M.H. Afshar, 2012. Corrected discrete least-squares meshless method for simulating free surface flows. Eng. Anal. Boundary Elements, 36: 1581-1594.
CrossRef  |  Direct Link  |