Bulletin of the Australian Mathematical Societyhttp://journals.cambridge.org/BAZ

Additional services for Bulletin of the Australian Mathematical Society:

Email alerts: Click hereSubscriptions: Click hereCommercial reprints: Click hereTerms of use : Click here

Numerical solution of quadratically non­linear boundary value problems using integral equation techniques, with application to nozzle and wall flows

K.H.M. Goh

Bulletin of the Australian Mathematical Society / Volume 38 / Issue 02 / October 1988, pp 315 ­ 315DOI: 10.1017/S0004972700027593, Published online: 17 April 2009

Link to this article: http://journals.cambridge.org/abstract_S0004972700027593

How to cite this article:K.H.M. Goh (1988). Numerical solution of quadratically non­linear boundary value problems using integral equation techniques, with application to nozzle and wall flows. Bulletin of the Australian Mathematical Society, 38, pp 315­315 doi:10.1017/S0004972700027593

Request Permissions : Click here

Downloaded from http://journals.cambridge.org/BAZ, IP address: 152.14.136.96 on 08 Mar 2013

BULL. AUSTRAL. MATH. SOC. 65R20

VOL. 38 (1988) [315-315]

NUMERICAL SOLUTION OF QUADRATICALLY NON-LINEAR BOUNDARY

VALUE PROBLEMS USING INTEGRAL EQUATION TECHNIQUES,

WITH APPLICATION TO NOZZLE AND WALL FLOWS

K.H.M. GOH

This thesis investigates numerically some problems of steady inviscid free-surfacehydrodynamics using the integral-equation technique, with applications to nozzle andwall flows. The behaviour of a fluid at a free surface is governed by the quadraticallynon-linear Bernoulli equation. Plane flows bounded by polygonal or straight fixed platesand free streamlines, involving smooth and non-smooth detachments at the separationpoints, are formulated as singular integral equations. These are then discretised toyield a system of non-linear algebraic equations that are, in turn, solved by the tools ofnon-linear programming, especially Newton's method.

No. 08-477Blk 118, Ave 4Ang Mo Kio, S(2056)Singapore

Received 30th March, 1987. Thesis submitted to University of Adelaide, November 1986. Approved,February 1987. Supervisor Professor E.O. Tuck

Copyright Clearance Centre, Inc. Serial-fee code: 0004-9729/88 $A2.00+0.00.

315