ANZIAM J. 46(E) pp.C1286--C1295, 2005.

Optimising series solution methods for flow over topography---Part 2

S. R. Belward

P. J. Higgins

W. W. Read

(received 19 November 2004, revised 7 November 2005)

Abstract

We consider the procedure used for computing series solutions to two dimensional fully non-linear flow over topography. Even though we use the simplest model for flow over topography there are many challenges when it comes to computing solutions. We discuss update methods that iterate an initial estimate of the free surface to its final position. Updates are performed at a discrete set of knot points. We show that using information about upstream knot point updates is beneficial for the update of downstream knot points. When we are careful about how updates are performed, an order of magnitude decrease in the total number of free surface updates occurs.

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Authors

S. R. Belward
P. J. Higgins
W. W. Read
School of Mathematical and Physical Sciences, James Cook University, Townsville, Australia. mailto:Shaun.Belward@jcu.edu.au

Published November 29, 2005. ISSN 1446-8735

References

  1. S. R. Belward, and L. K. Forbes, Fully nonlinear two-layer flow over arbitrary topography, J. Eng. Math. 27:419--432, 1993. http://dx.doi.org/10.1007/BF00128764
  2. P. J. Higgins, S. R. Belward and W. W. Read, Optimising series solution methods for flow over topography---Part 1, ANZIAM J., 46(E):C1272--C1285, 2005. http://anziamj.austms.org.au/V46/CTAC2004/Higg