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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/2355

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.
URI: http://bura.brunel.ac.uk/handle/2438/2355
Appears in Collections:Mathematical Science
Dept of Mathematics Research Papers

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