Optimising series solution methods for flow over topography - Part 1

Higgins, P.J., Belward, S.R., and Read, W.W. (2005) Optimising series solution methods for flow over topography - Part 1. ANZIAM Journal, 46. pp. 1272-1285.

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Abstract

Series solution methods have recently been used to solve fully nonlinear flow over topography problems. These methods are iterative schemes that update an initial estimate of the fluid surface (a free boundary) using a cost function. Series solutions are obtained efficiently and accurately with exact error bounds immediately available. Critical to the speed of the procedure is the implementation of efficient computer code and numerical techniques. In this paper we discuss methods that improve the computational time of the original implementation by several orders of magnitude, without any loss of accuracy. The efficiency of the improved method is demonstrated by generating two dimensional solutions to subcritical flow over an isolated cosine shaped obstacle.

Item ID: 702
Item Type: Article (Refereed Research - C1)
Keywords: series solutions; free boundary problem; flow over topography
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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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