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 contribution||The summation of series in several variables and its applications in fluid dynamics|
|Pages (from-to)||191 - 205|
|Number of pages||15|
|Journal||Fluid Dynamics Research|
|Publication status||Published - Jul 2003|