Study of Linear Water Waves With a Submerged Flat Plate Using Vortex Method
Date Issued
2012
Date
2012
Author(s)
Li, Yi-Syuan
Abstract
There are many previous studies investigating the interaction between thin plate and water wave, and most of them are analyzed by potential flow theory. But in real fluid flows, there are vortices which are produced by viscous effect around structures. This research improves the analysis to show the effect of vorticity around submerged flat plate under linear surface .
In this research, a numerical scheme that employs GVM(Generalized Vortex Method) is used to investigate the interaction of periodic water waves with a submerged flat plate. The irrotational flow field and the motion of the free surface are solved by using a boundary integral technique, and the vortical flow field is solved via a vortex method. This method contains the advantages of boundary integral technique and vortex method. On the other hand, this method doesn’t have to solve whole flow field, and it needs less resources to focus on compactly confined regions.
In order to compare the results obtained from a potential-flow approach and the viscous-flow model, at first we present the numerical results in which the vortical part is neglected, and compare them with the analytic solution of Yip and Chwang (1997). According to the numerical results, vortex effects are not negligible for the flow near the flat plate in this search. Although the vortical regions are mainly confined near the two sharp edges of the plate, their scales are relatively larger than the thickness of the thin plate; and the position of the thin flat plate significantly affects the deformation of the water wave and the scale of vortices. According to the dynamic analysis, the effect of vortex which is neglected in potential flow theory has great influence to the thin plate, and it’s the the analytic error in previous studies.
Subjects
Submerged flat plate
Linear water wave
Boundary integral method
Vortex method
Dynamic analysis
Type
thesis
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