論文

査読有り
2004年1月

Calculation of curved open channel flow using physical curvilinear non-orthogonal co-ordinates

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
  • ML Zhu
  • ,
  • Y Shimizu
  • ,
  • N Nishimoto

44
1
開始ページ
55
終了ページ
70
記述言語
英語
掲載種別
研究論文(学術雑誌)
出版者・発行元
JOHN WILEY & SONS LTD

There are two main difficulties in numerical simulation calculations using FD/FV method for the flows in real rivers. Firstly, the boundaries are very complex and secondly, the generated grid is usually very non-uniform locally. Some numerical models in this field solve the first difficulty by the use of physical curvilinear orthogonal co-ordinates. However, it is very difficult to generate an orthogonal grid for real rivers and the orthogonal restriction often forces the grid to be over concentrated where high resolution is not required. Recently, more and more models solve the first difficulty by the use of generalized curvilinear co-ordinates (xi, eta). The governing equations are expressed in a covariant or contra-variant form in terms of generalized curvilinear co-ordinates (xi, eta). However, some studies in real rivers indicate that this kind of method has some undesirable mesh sensitivities. Sharp differences in adjacent mesh size may easily lead to a calculation stability problem or even a false simulation result. Both approaches used presently have their own disadvantages in solving the two difficulties that exist in real rivers. In this paper, the authors present a method for two-dimensional shallow water flow calculations to solve both of the main difficulties, by formulating the governing equations in a physical form in terms of physical curvilinear non-orthogonal co-ordinates (s,n). Derivation of the governing equations is explained, and two numerical examples are employed to demonstrate that the presented method is applicable to non-orthogonal and significantly non-uniform grids. Copyright (C) 2004 John Wiley Sons, Ltd.

リンク情報
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000187992000003&DestApp=WOS_CPL
ID情報
  • ISSN : 0271-2091
  • Web of Science ID : WOS:000187992000003

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