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Seminar - Pressure Correction Method for Fluid-Particle Interaction and Two-Phase Flow Problems by Prof. San-Yih Lin
日期:2017 年 02 月 08 日 ( 星期三)
Time:3:00 pm – 4:00 pm


A pressure correction method coupled with a direct-forcing immersed boundary (IB) method and the volume of fluid (VOF) method is developed to simulate fluid-particle interaction and two-phase flows. This method uses a pressure correction method to solve incompressible flow fields, an IB method to handle fluid-particle interactions, and the VOF method to solve the two-phase flow. A direct forcing method is introduced in the IB method to capture particle motions. A third-order modified monotone upwind scheme for conservation law (modified MUSCL) is used to solve the solutions of the advection equation. Moreover, by applying the Gauss theorem, the formulas for computing the hydrodynamic force and torque acting on the particle from flows are derived from the volume integral of the particle instead of the particle surface. For demonstrating the efficiency and capability of the present method, sedimentations of many spherical particles in an enclosure, three-dimensional broken dam problem, three-dimensional rising bubble, and three-dimensional wave impact on a tall structure are performed. Finally, the numerical method is applied to investigate the granular flow impact on a tall structure and the flow of a falling ellipse.


Prof. San-Yih Lin received his Bachelor and Master degree in Mathematics from National Taiwan University in 1977 and 1982, respectively, followed by a PhD degree in Mathematics from University of Minnesota, USA, in 1987. Currently, he is a Professor in Department of Aeronautics and Astronautics at National Cheng Kung University, Taiwan. His research area includes applied mathematics, numerical analysis, computational fluid dynamics and heat transfer, fire safety, fluid-structure interaction and two-phase flow.