Numerical Study of Free-Surface FlowUsing CIP Method

• Main Authors: Hsueh-Hua Hung, 洪雪花
• Other Authors: Keh-Chin Chang
• Format: Others
• Language: zh-TW
• Published: 2004
• Online Access: http://ndltd.ncl.edu.tw/handle/38398744922851068453

碩士 === 國立成功大學 === 航空太空工程學系碩博士班 === 92 === 　　The objective of this study aims at predicting the interfacial flow field with the CIP(Cubic Interpolated Profile) method. Influences of the grid-mesh resolution on the surface-capturing capability and of the consideration of the viscous term on the prediction accuracy of flow field are investigated. The governing equations can be split into the advection and non-advection term by the time splitting method, in which the advection terms are simulated using the CIP method with the third-order spatial accuracy, while the non-advection terms are discretized using the second-order cell-center finite-volume scheme. The Poisson equation for pressure field is solved using the SOR (Successive Over-Relaxation )method. The diffusion term is discretized by the second-order cell-center finite-volume scheme. 　　Two test problems including a two-dimensional dam break problem and a problem of falling droplet on water surface are studied. The dam break problem in which these exists available experimental data is firstly studied to validate the computer model. Next, the simulation of the problem of falling droplet on water surface is performed by taking into consideration with and without the viscous effect. It is found that the CIP method is capable of capturing the free surface even with a coarse grid mesh with consideration of the viscous effect. Inclusion of the viscous effect in the modeling facilates smoothening the velocity distribution as compared to the simulation without considering the viscous effect. It is found that the viscous effect becomes more significant in the simulation of the free surface shape on the problem of falling on water surface.