ALE寬頻元素法於不可壓縮流之發展與應用
Development and Applications of ALE Spectral Element Method for Simulation of Incompressible
Date Issued
2006
Date
2006
Author(s)
Su, Jiong-Zhang
DOI
zh-TW
Abstract
The main purpose of this thesis is to develop a spectral element method based on the ALE formulation for incompressible flow with moving boundary problems and present the application for fluid-structure interaction problem. Arbitrary Lagrangian Eulerian(ALE) formulation can offer robust treatment of the moving boundary and handle distortions of the computational mesh. Spectral element method, delivering high-order convergence characteristics, allow utilization of relatively fewer degrees of freedom than low-order methods for a desired accuracy. This is an advantage in reduction of data,efficiency of the algorithms and the application of dynamic mesh. Also, relatively larger elements than low-order methods enables spectral element ALE algorithms to reduce the problem of distortions. One dimensional and two dimensional Burger’s equation, incompressible two dimensional Navier-Stokes equation are applied to test the numerical accuracy and the effect of moving mesh on numerical convergence. The following two examples, flow in a channel with a moving indentation and flow past an transverse oscillating cylinder, show quantitative agreement with the numerical results and demonstrate the effectiveness of the method in some of these application. Detailed results are presented for last case, flow past an transverse oscillating cylinder, and preliminarily compared with the experimental results.
Subjects
移動邊界
ALE
寬頻元素法
渦漩剝離
振動圓柱
共振
moving boundary
spectral element method
vortex shedding
oscillating cylinder
lock-in
Type
thesis
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