The summation of series in several variables and its applications in fluid dynamics

MAH Khan, PG Drazin, YJM Tourigny

Research output: Contribution to journalArticle (Academic Journal)peer-review

5 Citations (Scopus)

Abstract

We describe a method for the summation of series in powers of several variables and apply it to some problems of fluid dynamics. The summation method generates a sequence of algebraic approximants. The degree of the defining algebraic equations can either be held fixed, or else increased with the number of series coefficients used. Applications to Jeffery-Hamel flows and to porous-channel flows are discussed. In particular, we show how the method may be used to compute structurally unstable pitchfork bifurcations. (C) 2003 Published by The Japan Society of Fluid Mechanics and Elsevier Science B.V. All rights reserved.
Translated title of the contributionThe summation of series in several variables and its applications in fluid dynamics
Original languageEnglish
Pages (from-to)191 - 205
Number of pages15
JournalFluid Dynamics Research
Volume33 (1-2)
DOIs
Publication statusPublished - Jul 2003

Bibliographical note

Publisher: Elsevier Science BV

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