[논문]A Modified SPH Model for Simulating Water Surface Waves

Niu, X.; Yu, J.

doi:10.1016/j.proeng.2015.08.288

A Modified SPH Model for Simulating Water Surface Waves 원문보기

Procedia engineering, v.116, 2015년, pp.254 - 261

Niu, X. , Yu, J.

Abstract ▼ AI-Helper

As a flexible Lagrangian particle method, smoothed particle hydrodynamics (SPH) can easily capture large interface deformation, breaking, merging and splashing, which is quite suitable for the simulation of water surface waves. The classic weakly compressible smoothed particle hydrodynamics (WCSPH) algorithm for incompressible fluid flow usually needs small time steps to ensure numerical stability, which makes it computational time consuming. The major reason is that the pressure is linked with the density deviation which should be zero everywhere in incompressible fluid flows. Generally, the equation of state for a weakly compressible fluid is adopted to simulate incompressible fluid. To enforce the incompressibility, the stiffness of fluid is set to be large enough to keep the density deviation less than an allowable error. That will lead to a problem that a tiny error of computed density will cause a large pressure error and further numerical instability. In order to obtain rational pressure distribution and good computational efficiency as well, a new algorithm is proposed considering that flow field is globally incompressible from the view of spatial averaged flow field and weakly compressible locally due to the computational error from the view of particles. The basic conception of the proposed modified SPH is to split the pressure into a global part and local fluctuating part. The global part of pressure or the spatial averaged pressure on the resolution of background mesh is obtained by solving the pressure Poisson equation based on the velocity divergence free condition. The local fluctuating pressure is related to the local particle density variation by solving the local pressure Poisson equation, which is applied to maintain particles' spacing in relative equilibrium. Based on this idea, formulas for the spatial averaged pressure and local fluctuating pressure are derived. The spatial averaged pressure is used as a primary estimation of the pressure gradient force and then the local fluctuating pressure is added as a correction of local density deviation. The proposed algorithm is verified by simulating the classic dam broken problem and then applied to simulate water wave breaking. A comparison of the particle configurations with previous studies at different times is shown. Good agreement between the present results and the previous results can be found. A discussion on computational efficiency is also carried out. The result shows that the proposed algorithm has better stability and can greatly reduce the computational time cost.

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참고문헌 (19)

Physics of Fluids Chen 11 1 121 1999 10.1063/1.869907 Two-dimensional Navier-Stokes simulation of breaking waves

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Colicchio, G., Colagrossi, A., Greco, M. and Landrini, M., 2001. Free-surface flow after a dam break: a comparative study, 4th Numerical Towing Tank Symposium.
Journal of Computational Physics Cummins 152 2 584 1999 10.1006/jcph.1999.6246 An SPH projection method

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Coastal Engineering Dalrymple 53 2 141 2006 10.1016/j.coastaleng.2005.10.004 Numerical modeling of water waves with the SPH method

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Coastal, and Ocean engineering Gomez-Gesteira 130 2 63 2004 Using a three-dimensional smoothed particle hydrodynamics method for wave impact on a tall structure, Journal of Waterway, Port
10.1111/j.1467-8659.2012.03074.x He, X., Liu, N., Li, S., Wang, H. and Wang, G., 2012. Local Poisson SPH for viscous incompressible fluids, Computer Graphics Forum, 1948--1958.

상세보기
Computers & Fluids Hori 51 1 174 2011 10.1016/j.compfluid.2011.08.004 GPU-acceleration for moving particle semi-implicit method

상세보기
Ihmsen, M., Bader, J., Akinci, G. and Teschner, M., 2011. Animation of air bubbles with SPH, International Conference on Computer Graphics Theory and Applications 2011.
Coastal Engineering Khayyer 56 4 419 2009 10.1016/j.coastaleng.2008.10.004 Modified moving particle semi-implicit methods for the prediction of 2D wave impact pressure

상세보기
Coastal Engineering Khayyer 55 3 236 2008 10.1016/j.coastaleng.2007.10.001 Corrected incompressible SPH method for accurate water-surface tracking in breaking waves

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10.1016/j.advwatres.2013.04.009 Kordilla, J., Tartakovsky, A. and Geyer, T., 2013. A Smoothed Particle Hydrodynamics model for droplet and film flow on smooth and rough fracture surfaces. Advances in Water Resources(59): 1-14.

상세보기
Archives of Computational Methods in Engineering Liu 17 1 25 2010 10.1007/s11831-010-9040-7 Smoothed particle hydrodynamics (SPH): an overview and recent developments

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10.1155/2012/139583 Mitsuteru, A., Abdelraheem, M.A., Yoshimi, S. and Yuzuru, S., 2012. A stabilized incompressible SPH method by relaxing the density invariance condition. Journal of Applied Mathematics.

상세보기
Journal of computational physics Monaghan 110 2 399 1994 10.1006/jcph.1994.1034 Simulating free surface flows with SPH

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International Journal for Numerical Methods in Fluids Morris 33 3 333 2000 10.1002/1097-0363(20000615)33:3<333::AID-FLD11>3.0.CO;2-7 Simulating surface tension with smoothed particle hydrodynamics

상세보기
International Journal for Numerical Methods in Fluids Omidvar 68 6 686 2012 10.1002/fld.2528 Wave body interaction in 2D using smoothed particle hydrodynamics (SPH) with variable particle mass

상세보기
Coastal Engineering Ren 88 88 2014 10.1016/j.coastaleng.2014.02.006 Numerical simulation of wave interaction with porous structures using an improved smoothed particle hydrodynamic method

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Advances in Water Resources Shao 26 7 787 2003 10.1016/S0309-1708(03)00030-7 Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface

상세보기
10.9753/icce.v32.currents.8 Weiss, R., Munoz, A.J., Dalrymple, R.A., Herault, A. and Bilotta, G., 2011. Three-dimensional modeling of long-wave runup: Simulation of tsunami inundation with GPU-SPHysics. Coastal Engineering Proceedings, 32.

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A Modified SPH Model for Simulating Water Surface Waves 원문보기

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