Abstract
In this study, a non-staggered grid SIMPLER pressure solution algorithm, which is able to produce correct pressure distribution directly if correct velocities are given, is proposed to solve the pressure distribution for PIV experiments. The cell face pseudo velocity required in the pressure equation is approximated by a simple linear average of the adjacent nodal pseudo velocities so that the velocity and pressure are collocated without causing the checkerboard pressure distribution problem. In addition, the proposed pressure solution algorithm has the features that upwind effects of the convective terms are considered, boundary conditions are not required, and the pressure distribution obtained can be used to correct the velocity field so that the continuity equation is satisfied. These features make the present algorithm a superior method to calculate the pressure distribution for PIV experiments. The pressure field solved is realistic and accurate. The proposed pressure equation solver is first calibrated with a two-dimensional cavity flow. It is found that the results are almost identical to the exact solution of the test flow. The algorithm is then applied to analyze a uniform flow past two side-by-side circular cylinders in a soap film channel. With the velocity and pressure distributions successfully measured, the structures of the complex shedding flow patterns are clearly manifested.
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Shenq-Yuh Jaw: He had received his Ph.D. in 1991 from the Dept. of Mechanical Engineering, The University of Iowa, U.S.A. After his graduation, he had become part of the National Taiwan Ocean University faculty, and is currently a Professor in the Department of Systems Engineering and Naval Architecture. He was a visiting scholar in the College of Engineering, Florida A&M/State University in 1999. His research interests are Turbulence Modeling, Computational Fluid Dynamics, and PIV measurements in naval hydrodynamics.
Jiahn-Horng Chen: He had received his Ph.D. in 1990 from the Dept. of Aerospace Engineering, The Penn State University, U.S.A. He joined the faculty of National Taiwan Ocean University after graduation, and is currently a Professor in the Department of Systems Engineering and Naval Architecture. His research interests are Computational Mechanics and Cavitation in hydrodynamics.
Ping-Chen Wu: He is a research assistant in Dept. of Systems Engineering and Naval Architecture of National Taiwan Ocean University. He finished his Bachelor and Master degrees from the same place. His research interest is about Computational Fluid Dynamics and mainly focuses on cavitation simulation and boundary element method.