English  |  正體中文  |  简体中文  |  Items with full text/Total items : 28607/40644
Visitors : 4781421      Online Users : 208
RC Version 4.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Adv. Search

Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/25445

Title: Numerical Analysis of Mass Conservation Property of the L2 Least-Squares Finite-Element Methods for Navier-Stokes Equations
Authors: Liang Shin-Jye;Yih-Jena Jan
Contributors: NTOU:Department of Marine Environmental Informatics
Keywords: Least-squares finite-element methods LSFEMs;Velocity-vorticity-pressure VVP formulations;Navier-Stokes equations;Mass conservation
Date: 2006
Issue Date: 2011-10-20T08:23:15Z
Publisher: Journal of Aeronautics, Astronautics and Aviation, Series A
Abstract: We extend our previous study of the least-squares finite-element methods (LSFEMs) for Stokes equations to Navier-Stokes equation. Both unweighted and weighted LSFEM based on the first-order velocity-vorticity-pressure (VVP) formulation are developed. Several issues related to LSFEMs, such as the choice of interpolation functions (types of elements) and property of mass conservation, are studied. We use flow past a circular cylinder as the model problem to examine the effect of these issues on the approximations. Computed results show that high-resolution and high-order element, and appropriate weights of the weighted LSFEM can improve the accuracy as well as local and global mass conservation. It is found that weighted LSFEM is effective for coarse and low-order elements, and approximations are sensitive to the weights of weighted LSFEM. Among the various equal-order triangular and quadrilateral elements considered, such as 3-node and 6-node triangular elements, as well as 4-node, 8-node and 9-node quadrilateral elements, the piecewise 4-node and 9-node iso-parametric quadratic element outperforms other elements in terms of accuracy, satisfaction of mass conservation, and its robustness to the value of weights of the weighted LSFEM.
Relation: 38(3), pp.199-206
URI: http://ntour.ntou.edu.tw/handle/987654321/25445
Appears in Collections:[海洋環境資訊系] 期刊論文

Files in This Item:

File Description SizeFormat

All items in NTOUR are protected by copyright, with all rights reserved.


著作權政策宣告: 本網站之內容為國立臺灣海洋大學所收錄之機構典藏,無償提供學術研究與公眾教育等公益性使用,請合理使用本網站之內容,以尊重著作權人之權益。
網站維護: 海大圖資處 圖書系統組
DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback