Optimising series solution methods for flow over topography - Part 2

Belward, S.R., Higgins, P.J., and Read, W.W. (2005) Optimising series solution methods for flow over topography - Part 2. ANZIAM Journal, 46. pp. 1286-1295.

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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.

Item ID: 711
Item Type: Article (Refereed Research - C1)
Keywords: series solutions; flow over topography; free boundary problem
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© Copyright 2005 Australian Mathematical Society

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ISSN: 1446-8735
Date Deposited: 16 Oct 2006
FoR Codes: 01 MATHEMATICAL SCIENCES > 0103 Numerical and Computational Mathematics > 010303 Optimisation @ 30%
01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics @ 40%
01 MATHEMATICAL SCIENCES > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations @ 30%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970101 Expanding Knowledge in the Mathematical Sciences @ 100%
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