The renormalization group, the \(\epsilon\)-expansion and derivation of turbulence models
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Publication:1194997
DOI10.1007/BF01060210zbMath0757.76019OpenAlexW1990260176MaRDI QIDQ1194997
Leslie M. Smith, Victor Yakhot
Publication date: 13 October 1992
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01060210
Navier-Stokes equationskinetic energytransport equationsenergy dissipation ratesmall-scale velocity fluctuationsuniversal random force
Dynamical systems approach to turbulence (76F20) Isotropic turbulence; homogeneous turbulence (76F05)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Mathematical models with exact renormalization for turbulent transport
- Renormalization group analysis of turbulence. I: Basic theory
- Computational test of the renormalization group theory of turbulence
- Analysis of the \(\varepsilon\)-expansion in turbulence theory: Approximate renormalization group for diffusion of a passive scalar in a random velocity field
- Analytical theories of turbulence and the ε expansion
- Development of turbulence models for shear flows by a double expansion technique
- Progress in the development of a Reynolds-stress turbulence closure
- Analytical theories of turbulence
- Final Stage Decay of Grid-Produced Turbulence
- Decay of turbulence in the final period
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