DOI QR코드

DOI QR Code

ISPH법을 이용한 2차원 비압축성 유체 유동의 수치시뮬레이션 기법 연구

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

  • 김철호 (인하대학교 대학원 조선해양공학과) ;
  • 이영길 (인하대학교 기계공학부 조선해양공학) ;
  • 정광열 (인하대학교 대학원 조선해양공학과)
  • 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)
  • 투고 : 2011.08.08
  • 심사 : 2011.11.14
  • 발행 : 2011.12.20

초록

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.

키워드

참고문헌

  1. Cleary, P.W. & Monaghan, J.J., 1999. Conduction Modelling Using Smoothed Particle Hydrodynamics, Journal of Computational Physics, 148, pp.227-264. https://doi.org/10.1006/jcph.1998.6118
  2. Cummins, S.J., Rudman, M., 1999. An SPH Projection Method, Journal of Computational Physics, 152, pp.584-607. https://doi.org/10.1006/jcph.1999.6246
  3. 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.
  4. Greco, M., 2001. A Two-dimensional Study of Green- Water Loading, Ph. D thesis, Norwegian University of Science and Technology.
  5. 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.
  6. Hughes, S.A., 1993. Physical Models and Laboratory Techniques in Coastal Engineering, World Scientific Publishing Co. Pte. Ltd.
  7. 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. https://doi.org/10.3744/SNAK.2010.47.4.525
  8. 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. https://doi.org/10.3744/SNAK.2007.44.4.398
  9. 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. https://doi.org/10.1137/0913035
  10. Wit,L., 2006, Smoothed Particle Hydrodynamics A Study of the Possibilities of SPH in Hydraulic Engineering, MSc Thesis, Delft University of Technology.