Effects of Anisotropic Pressure Hessian on the Interction between Vorticity and Strain Fields

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概要

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• We consider the anisotropic pressure effect on the interaction between the vorticity and strainfield in the three-dimensional incompressible Euler equation, Vieillefosse showed that the deriva-tives of the velocity field diverge spontaneously in a finite time when only the isotropic pressureHessian is taken into account. We extend his method to incltrde the anisotropic pressure Hes-sian, which is expressed in a parameterized way, in order to investigate the stability againstthe spontaneous singularity in the parameter space. Two parameter regions are identified: (1)the region where the divergence occurs in a finite time and (2) the region where the derivativefields increase only in a power law with time. The model is discussed in relation to the directsimulation of the Euler equation.

• 社団法人日本物理学会の論文
• 1996-09-15

著者

• NAKANO Tohru

  Department of Physics, Chuo University

• GOTOH Toshiyuki

  Department of Systems Engineering, Nagoya Institute of Technology

• Gotoh Toshiyuki

  Department Of System Engineering Nagoya Institute Of Technology

• Gotoh Toshiyuki

  Department Of Applied Physics Faculty Of Engineering University Of Nagoya

• Nakano Tohru

  Department Of Electrical Engineering Nagoya University

• NAKANO TOHRU

  Department of Anatomy, Faculty of Medicine, Kyoto University

• Nakano Tohru

  Department of Physics,Chuo University

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