Browse > Article
http://dx.doi.org/10.3744/SNAK.2011.48.6.560

A Study on the Numerical Simulation Method of Two-dimensional Incompressible Fluid Flows using ISPH Method  

Kim, Cheol-Ho (Dept. of Naval Architecture and Ocean Engineering, Graduate School, Inha University)
Lee, Young-Gill (Dept. of Naval Architecture and Ocean Engineering, Inha University)
Jeong, Kwang-Leol (Dept. of Naval Architecture and Ocean Engineering, Graduate School, Inha University)
Publication Information
Journal of the Society of Naval Architects of Korea / v.48, no.6, 2011 , pp. 560-568 More about this Journal
Abstract
In SPH(Smoothed Particle Hydrodynamics) method, the fluid has been assumed that it is weakly compressible to solve the basic equations composed of Navier-Stokes equations and continuity equation. That leads to some drawbacks such as non-physical pressure fluctuations and a restriction as like small time steps in computation. In this study, to improve these problems we assume that the fluid is incompressible and the velocity-pressure coupling problem is solved by a projection method(that is, by ISPH method). The two-dimensional computation results of dam breaking and gravitational wave generation are respectively compared with the results of finite volume method and analytical method to confirm the accuracy of the present numerical computation technique. And, the agreements are comparatively acceptable. Subsequently, the green water simulations of a two-dimensional fixed barge are carried out to inspect the possibility of practical application to ship hydrodynamics, those correspond to one of the violent free surface motions with impact loads. The agreement between the experimental data and the present computational results is also comparatively good.
Keywords
Incompressible Smoothed Particle Hydrodynamics(ISPH); Two-dimensional fluid flow; Pressure distribution; Free surface; Gravitational wave;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 Hwang, S.C., Lee, B.H. & Park, J.C., 2010. Improvement of MPS method in simulating violent free-surface motion and predicting impact-loads, Korean Society of Computational Fluids Engineering, 15(1), pp.71-80.   과학기술학회마을
2 Hughes, S.A., 1993. Physical Models and Laboratory Techniques in Coastal Engineering, World Scientific Publishing Co. Pte. Ltd.
3 Kim, C.H., Lee, Y.G., & Jeong, K.L., 2010. Numerical simulation of two-dimensional nonlinear waves on beaches using a smoothed particle hydrodynamics method, Journal of the Society of Naval Architects of Korea, 47(4), pp.525-532.   과학기술학회마을   DOI   ScienceOn
4 Kim, Y.I., Nam, B.W., & Kim, Y.H., 2007. Study on the Effects of Computational Parameters in SPH Method, Journal of the Society of Naval Architects of Korea, 44(4), pp.398-407.   과학기술학회마을   DOI   ScienceOn
5 Van Der Vorst, H.A., 1992. BI-CGSTAB: a fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear system, SIAM Journal on Scientific and Statistical Computing, 13(2), pp.631-644.   DOI
6 Wit,L., 2006, Smoothed Particle Hydrodynamics A Study of the Possibilities of SPH in Hydraulic Engineering, MSc Thesis, Delft University of Technology.
7 Cleary, P.W. & Monaghan, J.J., 1999. Conduction Modelling Using Smoothed Particle Hydrodynamics, Journal of Computational Physics, 148, pp.227-264.   DOI   ScienceOn
8 Cummins, S.J., Rudman, M., 1999. An SPH Projection Method, Journal of Computational Physics, 152, pp.584-607.   DOI   ScienceOn
9 Lee, E.S., 2007. Truly Incompressible Approach for Computing Incompressible Flow in SPH and Comparisons with the Traditional Weakly Compressible Approach, Ph. D thesis, The University of Manchester.
10 Greco, M., 2001. A Two-dimensional Study of Green- Water Loading, Ph. D thesis, Norwegian University of Science and Technology.