Brunel University Research Archive (BURA) >
Schools >
School of Information Systems, Computing and Mathematics >
Mathematics Technical Papers >

Please use this identifier to cite or link to this item:

Title: Solution of three-dimensional free boundary problems by variable interchange
Authors: Crank, J
Ozis, T
Publication Date: 1981
Publisher: Brunel University
Citation: Maths Technical Papers (Brunel University). May 1981, pp 1-22
Series/Report no.: ;TR/03/81
Abstract: The three-dimensional problem of the seepage of fluid through a circular earth dam is solved to illustrate a new approach to more general free boundary problems. The method is based on Boadway's transformation in which the dependent variable, representing velocity potential, is interchanged with one of the independent space variables, which then becomes the new dependent variable to be computed. The need to determine the position of the whole of the free surface in the three-dimensional physical space is reduced to locating the position of the separation line on a fixed plane boundary in the transformed domain. An iterative algorithm approximates within each single loop both a finite-difference solution of the partial differential equation and the position of the separation line.
Appears in Collections:Mathematics Technical Papers
Mathematical Science

Files in This Item:

File Description SizeFormat
TR_03_81.pdf316.1 kBAdobe PDFView/Open

Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.


Library (c) Brunel University.    Powered By: DSpace
Send us your
Feedback. Last Updated: September 14, 2010.
Managed by:
Hassan Bhuiyan