Browse > Article

Level Set Method Applied on Pseudo-compressibility Method for the Analysis of Two-phase Flow  

Ihm Seung-Won (School of Mechanical and Aerospace Engineering, Seoul National University)
Kim Chongam (School of Mechanical and Aerospace Engineering, Seoul National University)
Shim Jae-Seol (Coastal and Harbour Engineering Research Division, KORDI)
Lee Dong-Young (Coastal and Harbour Engineering Research Division, KORDI)
Publication Information
Journal of Korean Society of Coastal and Ocean Engineers / v.17, no.3, 2005 , pp. 158-165 More about this Journal
Abstract
In order to analyze incompressible two-phase flow, Level Set method was applied on pseudo-compressibility formulation. Level Set function is defined as a signed distance function from the phase interface, and gives the information of the each phase location and the geometric data to the flow. In this study, Level Set function transport equation was coupled with flow conservation equations, and owing to pseudo-compressibility technique we could solve the resultant vector equation iteratively. Two-phase flow analysis code was developed on general curvilinear coordinate, and numerical tests of bubble dynamics and surging wave problems demonstrate its capability successfully.
Keywords
two-phase flow; Level Set method; pseudo-compressibility method; general curvilinear coordinate; bubble dynamics; surging wave;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Zhu, J. and Sethian, J. (1992). Projection methods coupled to level set interface techniques. J. Comput. Phys., 102, 128-138   DOI   ScienceOn
2 Osher, S. and Sethian, J .A. (1988). Front propagation with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys., 79, 12-49   DOI   ScienceOn
3 노오현 (1992). 점성유체역학기초, 박영사
4 Ok, H. (1993). Development of an incompressible NavierStokes solver and its application to the calculation of separated tlow. Ph.D. Dissertation, Univ. of Washington, U.S.A
5 Hoffmann, K.A. and Chiang, S.T. (2000). Computational Fluid Dynamics, 4th Ed. Engineering Education System, Kansas, U.S.A
6 Hirsch, C. (1989). Numerical Computation of Internal and External Flows. John Wiley & Sons, U.K
7 Yoon, S. and Jameson, A. (1988). Lower-upper symmetric-Gauss-Seidel method for the Euler and Navier-Stokes equations. AIAA J., 26(9), 1025-1026   DOI   ScienceOn
8 Unverdi, S.O. and Tryggvason, G. (1992). A front-tracking method for viscous, incompressible, multi-fluid tlows. J. Comput. Phys., 100, 25-37   DOI   ScienceOn
9 김도삼, 이광호, 김정수 (2002). 수중토과성구조물에 의한 쇄파를 수반한 파랑변형 및 유속장 해석. 한국해안.해양공학회지, 14(2). 171-181
10 Hirt, C. W. and Nichols, B.D. (1981). Volume of tluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys., 39, 201-225   DOI   ScienceOn
11 Barone, M.F. (2003). Receptivity of compressible mixing layers. Ph.D. Dissertation, Stanford Univ., U.S.A
12 Osher, S. and Fedkiw, R.P. (2001). Level set methods: an overview and some recent results. J. Comput. Phys., 169,463-502   DOI   ScienceOn
13 Sussman, M., Smereka, P. and Osher, S. (1994). A level set approach for computing solutions to incompressible twophase tlow. J. Comput. Phys., 114, 146-159   DOI   ScienceOn
14 허동수, 김도삼 (2003). 경사수역에 설치된 잠제 주변의 유속장과 와의 발생에 대한 수치모의. 한국해안.해양공학회지, 15(3), 151-158
15 Chang, Y.C., Hou, T.Y., Merrian, B. and Osher, S. (1996). A level set formulation of Eularian interface capturing methods for incompressible fluid flow. J. Comput. Phys., 124, 449-464   DOI   ScienceOn
16 Chorin, A.J. (1967). A numerical method for solving incompressible viscous tlow problems. J. Comput. Phys., 2, 12-26   DOI   ScienceOn
17 Liou, B.H. (2001). Calculation of nonlinear free surface waves with a fully-implicit adaptive-grid method. Ph.D. Dissertation, Princeton Univ., U.S.A
18 Brackbill, J.U., Kothe, D.B. and Zemach, C. (1992). A continuum method for modeling surface tension. J. Comput. Phys., 100, 335-354   DOI   ScienceOn
19 Rogers, S.E. and Kwak, D. (1990). Upwind differencing scheme for the time-accurate incompressible Navier-Stokes equations. AIAA J., 28(2), 253-262   DOI
20 임승원, 최영심, 김종암 (2003). 다상 유동 해석을 위한 Level Set 기법과 volume of fluid 기법의 비교 연구. 한국항공우주학회 추계학술대회 논문집, KSAS03-2214