Application of Pade Approximation to Turbulence Problem

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概要

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• The energy spectrum function E(k, t) for one dimensional Burgers' turbulenceis defined as a Taylor series expansion in time variable t. Assuming a multivariateGaussian distribution of velocity field at an initial instant, first six coefficientsof this Taylor series are calculated explicitly in terms of the initial energy spec-trtun. To approximate to E(k, r) the Pad<S approximation is adopted. The numeri-cat results show that a Pad<S ajcproximant to it is ?nuch better than a partial sumof Taylor series as an approximation to E(k, t) for the wave numbers not so largecompared with a representative wave number.

• 1983-05-15

著者

• FUKUYU Akio

  Department of Mathematical Science,Fdculty of Science and Engineering,Tokyo Denki University

• Fukuyu Akio

  Department Of Mathematical Science Fdculty Of Science And Engineering Tokyo Denki University

• Fukuyu Akio

  Department Of Mathematical Science Faculty Of Science And Engineering Tokyo Denki University

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• Slow Motion in a Two-Dimensional Semi-Infinite Channel with Moving Walls
• A Statistical Mechanical Model for Two Dimensional Turbulence
• The Response of Hill's Vortex to a Small Three Dimensional Disturbance

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