유한체적법에 의한 자유수면 유동해석에서 Level-Set 기법에 대한 연구

A Study on the Level-Set Scheme for the Analysis of the Free Surface Flow by a Finite Volume Method

  • 박일룡 (부산대학교 조선해양공학과 대학원) ;
  • 전호환 (부산대학교 조선해양공학과(기계기술연구소))
  • 발행 : 1999.05.01

초록

이류체(two fluids)의 경계면인 자유수면 유동해석을 위해서 2차원 비압축성, 이류체 Navier-Stokes방정식을 유한체적법(Finite Volume Method)으로 이산화 하고 level-set기법을 적용하였다. Level-set기법의 수치적 특성과 문제에 대한 적용성을 간략히 살펴보고 평가하기 위하여 수조 내에서 주기적으로 진동하는 미소 표면파와 댐붕괴(dam break)문제에 적용하였다. 수치계산 결과에서는 해의 수렴성을 개선하기 위한 방법을 소개하였다.

A Finite Volume Method for the two-dimensional incompressible, two-fluids Navies-Stokes equation and level-set scheme are used to analyse the interface of two fluids, free-surface flow. The numerical characteristics and the applicability of level-set scheme are brief1y investigated and appraised by solving oscillating small surface wave in a water tank and dam break problems. In the numerical results, a method for improving the convergence of the solution is presented.

키워드

참고문헌

  1. Phys. Fluids v.8 Numerical Calculation of Time-dependent Viscous Incompressible Flow of Fluid with Free Surface Harlow, F.H.;Welch, J.E.
  2. Numerical Heat Transfer v.34 no.1 A Curvilinear Level Set Formulation for Highly Deformable Free Surface Problems with Application to Solidification Zhang, H.;Zheng, L.L;Prasad, V.
  3. Journal of Computational Physics v.39 Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries Hirt, C.;Nichols, B.
  4. Journal of Computational Physics v.79 Fronts Propagating with Curvature-Dependent Speed : Algorithms Based on Hamilton-Jacobi Formulations Osher, S.;Sethian, J.A.
  5. Computers and Fluids v.27 no.5-6 An Improved Level Set Method for Incompressible Two-Phase Flows Sussman, M.;Fatemi, E.;Smereka, P.;Osher, S.
  6. SIAM J. Sci. Stat. An Efficient, Interface Preserving Level Set Redistancing Algorithm and its Application to Interfacial Incompressible Fluid Flow Sussman, M.;Fatemi, E.
  7. Proc. of the Annual Autumn Meeting SNAK Numerical Computation of Free Surface Waves based on Zero-Level-Set Method Kang, K.J.
  8. Journal of Computational Physics v.71 Uniformly High-Order Accurate Essentially Nonoscillatory Schemes, Ⅲ Harten, A.;Engquist, B.;Osher, S.;Chakravarthy, S.
  9. Numerical Heat Transfer and Fluid Flow Patankar, S.V.
  10. SIAM J. Numer. Anal. v.5 Iterative Solution of Implicit Approximations of Multidimensional Partial Differential Equations Stone, H.L.
  11. Oceanographical Engineering Wiegel, R.L.
  12. Int. J. Numer. Meth. Fluids v.7 Lagrangian Finite Element Analysis Applied to Viscous Free Surface Fluid Flow Ramaswamy, B.;Kawahara, M.
  13. Transactions of the Korean Society of Mechanical Engineers(B) v.21 no.11 Kinetic Energy Conservation Algorithm in Moving Grid System Using Segregated Finite Element Formulation Sung, J.Y.;Choi, H.G.;Yoo, J.Y.
  14. Twentieth Symposium on NAVAL HYDRODYNAMICS A Method for Simulation of Viscous, Nonlinear, Free-Surface Flows Hodges, B.;Street, R.;Zang, Y.