Low-dimensional models for turbulent plane Couette flow in a minimal flow unit
نویسندگان
چکیده
منابع مشابه
Low-dimensional models for turbulent plane Couette flow in a minimal flow unit
We model turbulent plane Couette flow in the minimal flow unit (MFU) – a domain whose spanwise and streamwise extent is just sufficient to maintain turbulence – by expanding the velocity field as a sum of optimal modes calculated via proper orthogonal decomposition from numerical data. Ordinary differential equations are obtained by Galerkin projection of the Navier–Stokes equations onto these ...
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Direct numerical simulations (DNS) of stably-stratified, turbulent plane Couette flow are currently being performed on the XC-4000. The friction Reynolds number is kept approximately constant, Reτ 540 and the Richardson number Riw varies between 0 and 0.1. The flow is divided into two regions: the region close to the wall and the core region. The region close to the wall presents strong velocit...
متن کاملModels for turbulent plane Couette flow using the proper orthogonal decomposition
We model turbulent plane Couette flow ~PCF! by expanding the velocity field as a sum of optimal modes calculated via the proper orthogonal decomposition from numerical data. Ordinary differential equations are obtained by Galerkin projection of the Navier–Stokes equations onto these modes. For a minimal truncation including only the most energetic modes having no streamwise variation, we show u...
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We present results concerning resolvent estimates for the linear operator associated with the system of differential equations governing perturbations of the Couette flow. We prove estimates on the norm of the resolvent of this operator showing this norm to be proportional to the Reynolds number R for a region of the complex plane. Numerical approximations indicate that the same dependence is v...
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ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 2005
ISSN: 0022-1120,1469-7645
DOI: 10.1017/s0022112005005288