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A THREE DIMENSIONAL LEVEL SET METHOD FOR TWO PHASE FLOWS  

Kang, D.J. (영남대학교 기계공학부)
Ivanova, Ivelina Ivanova (영남대학교 대학원)
Publication Information
Journal of computational fluids engineering / v.13, no.4, 2008 , pp. 126-134 More about this Journal
Abstract
We developed a three dimensional Navier-Stokes code based on the level set method to simulate two phase flows with high density ratio. The Navier-Stokes equations with consideration of the surface tension effects are solved by using SIMPLE algorithm on a non-staggered grid. The present code is validated by simulating two test problems. First one is to simulate a rising bubble inside a cube. The thickness of the interface of the bubble is shown to affect the pressure distribution around the interface. As the thickness decreases, the pressure field around the interface becomes more oscillatory. As the bubble rises, a ring vortex is shown to form around the interface and the bubble eventually develops into an ellipsoidal shape. Merge of two bubbles inside a container is secondly tested to show the robustness of the present code for two phase flow simulation. Numerical results show stable and reliable behavior during the process of merging of two bubbles. The velocity and pressure fields around the interface of bubbles are shown oscillation free during the merging of two bubbles.
Keywords
Two-phase Flow; Air Bubble; Surface Tension; Bubble Interface; Ring Vortex; Merging of Air Bubbles;
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1 1996, 강덩진, 배상수, "일반 비직교 표면좌표계에서의 비압축성 점성유동의 수치해석," 대한기계학회 논문집, 제20권, 제3호, pp.1015-1027
2 2001, Tryggvason, G., Bunner, B., Esmaeeli, A., Juric, D., Al-Rawahi, N., Tauber, W., Han, J., Nas, S. and Jan, Y.J., "A Front Tracking Method for the Computations of Multiphase Flow," J. Comput. Phys., 169, pp.708-759   DOI   ScienceOn
3 1994, Sussman, M., Smereka, P. and Osher, S., "A Improved Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow," J. Comput. Phys., 114, pp.146-159   DOI   ScienceOn
4 2004, Takahira, H., Horiuchi, T. and Banerjee, S., "An Improved Three Dimensional Level Set Method for Gas Liquid Two Phase Flows," ASME J. Fluids Eng., 126, pp.578-585   DOI   ScienceOn
5 1981, Hirt, C.W. and Nichols, B.D., "Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries," J. Comput. Phys., 39, pp.201-226   DOI   ScienceOn
6 2005, Olsson, E. and Kreiss, G.,, "A Conservative Level Set Method for Two Phase Flow," J. Comput. Phys., Vol. 210, pp. 225-246   DOI   ScienceOn