National Taiwan Ocean University Institutional Repository:Item 987654321/40048
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題名: Shallow Water Flow Modeling Using Space-Time Least-Squares Finite-Element Method
作者: Shin-Jye Liang
Chiung-Yang Lan
Ying-Chih Chen
貢獻者: 國立臺灣海洋大學:海洋環境資訊學系
關鍵詞: least-squares finite-element method
shallow-water equations
convection-diffusion equation
space-time
日期: 2012-01
上傳時間: 2017-01-12T07:12:01Z
出版者: Journal of Marine Science and Technology
摘要: Abstract: Various aglogrithms of least-squares finite-element methods (LSFEM) for convection-diffusion equation (CDE) and shal-low-water equations (SWE) are formulated. The associated condition number of the resulting system of equations is sys-tematically compared. It is found that condition number of the resulting system of equations depends on the choice of vari-ables, interpolations, and size of element (∆x). In general, a better conditioned system is obtained by introducing auxiliary variable with low-order interpolation. The developed better conditioned shallow-water model is used to simulate wave propagation over a submerged bar and wave propagation past an elliptical hump. Computed results are compared with ex-periment data and other numerical approximation, and show good agreement.
關聯: 20(5)
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/40048
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