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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

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참고문헌

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주제분류조선공학

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.

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.

참고문헌 (10)

  1. Cleary, P.W, "Conduction Modelling Using Smoothed Particle Hydrodynamics", Journal of Computational Physics, 148, pp.227~264 (1999)
  2. Cummins, S.J, "An SPH Projection Method", Journal of Computational Physics, 152, pp.584~607 (1999)
  3. Lee, E.S, "Truly Incompressible Approach for Computing Incompressible Flow in SPH and Comparisons with the Traditional Weakly Compressible Approach", 박사, pp.2007
  4. Greco, M., "A Two-dimensional Study of Green-Water Loading", 박사, pp.2001
  5. 황성철, "유체 충격 하중 예측을 위한 MPS법의 개량", 한국전산유체공학회지, 15(1), pp.71~80 (2010), 한국전산유체공학회
  6. Hughes, S.A, "Physical Models and Laboratory Techniques in Coastal Engineering" (1993), World Scientific Publishing Co. Pte. Ltd
  7. 이영길, "SPH법을 이용한 해안에서의 2차원 비선형파 수치시뮬레이션", 대한조선학회 논문집, 47(4), pp.525~532 (2010), 대한조선학회
  8. 김용환, "SPH 기법의 계산인자 민감도에 대한 연구", 대한조선학회 논문집, 44(4), pp.398~407 (2007), 대한조선학회
  9. Van Der Vorst, H.A, "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 (1992)
  10. Wit,L, "Smoothed Particle Hydrodynamics A Study of the Possibilities of SPH in Hydraulic Engineering", 석사, pp.2006

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