High-symmetry Kida flow: Time series analysis and resummation

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• 作者：Gulak ; Yuriy ; Pelz ; Richard B.
• 关键词：Euler equations ; Singularities ; Time series analysis ; Resummation
• 刊名：Fluid Dynamics Research
• 出版年：2005
• 出版时间：April - May, 2005
• 年：2005
• 卷：36
• 期：4-6
• 页码：211-220
• 全文大小：198 K

文摘

A high-symmetry Kida flow is studied as a candidate for a finite time blowup of incompressible Euler equations. Explicit formulas for the solutions of the Euler equations, in the class of formal power series, are derived after transforming the momentum equation into a homogeneous quadratic differential equation on a nonassociative algebra. Using these formulas, the 64th order enstrophy series was evaluated. The analysis of the enstrophy singularities using Padé and quadratic approximants is discussed.