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Plenary Lecture

Density-Based Numerical Methods for Cavitating Flow

Professor Byeong Rog Shin
Dept. of Mechanical Engineering
Changwon National University
Korea
E-mail: brshin@changwon.ac.kr

Abstract: Numerical methods for gas-liquid multi-phase flow such as cavitating flow with variable density are discussed. Cavitation is well known phase change phenomenon encountered in the flow of hydraulic machine systems. When cavitation occurs and collapses near solid surfaces, it causes the noise, vibration and damage to the systems. In the sense of reducing these unfavorable effects and understanding the behavior of collapsing of cavitation bubbles, some efforts to propose cavity flow model for numerical simulations and, analytical and experimental method for shock-bubble interaction problems have been made. Recently, the author has proposed a mathematical cavity flow model based on a homogeneous model and numerical method for cavitating flow. This method employs a finite-difference Runge-Kutta method and Roe's flux difference splitting approximation with the MUSCL-TVD scheme. The homogeneous equilibrium gas-liquid multi-phase model taken account of the compressibility of mixed media is applied. Therefore, the present density-based numerical method permits simple treatment of the whole gas-liquid mixed flow field, including wave propagation, large density changes and incompressible flow characteristics at low Mach number. In this lecture, above mentioned numerical methods for cavitating flow are introduced and discussed. From the computational results, complicated cavity flow phenomena, bubble collapsing behavior, shock-bubble interaction and shock transmission/reflection phenomena are investigated.

Brief Biography of the Speaker: Prof. Byeong Rog Shin received his Ph.D. degree in Mechanical Engineering from Tohoku University, Sendai, Japan, in 1991. He served as Associate Professor at Tohoku University from 1997-2004. He is currently a Professor in the Department of Mechanical Engineering, Changwon National University, Changwon, Korea. His research interests are in the areas of CFD to develop numerical schemes for the compressible/incompressible viscous flows and the gas-liquid two-phase flows, as well as in the areas of the numerical simulation for the prediction, optimal design and the improvement of the performance of turbomachinery systems. He is author and co-author of 4 books related CFD and engineering mathematics. Professor Shin received National Prize of Korea from Korean Government in 2002, Best Paper Awards from Turbomachinery Society of Japan in 2001 and Korean Fluid Machinery Association in 2011. He is member of ten professional societies and Co-Editor and Editorial Board Member of several technical journals.

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