Exact theory for the self-similarity and decay of homogeneous turbulence

DOI10.1063/1.525305zbMath0545.76058OpenAlexW2088225218MaRDI QIDQ3337023

Gerald Rosen

Publication date: 1982

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525305

zbMATH Keywords

incompressibleexact theorycorrelation tensorsdilatation scaling indexexact time explicit generic form of the solution for the freely-decaying homogeneous turbulencelinearity of the \(\Phi\)-equationobserved self-similarityspace-time dilatation invariancesummation over mutually independent dynamical modes

Mathematics Subject Classification ID

Isotropic turbulence; homogeneous turbulence (76F05)

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An exact representation of the space-time characteristic functional of turbulent Navier-Stokes flows with prescribed random initial states and driving forces

Cites Work

• Formulation of the theory of turbulence in an incompressible fluid
• Theory of Turbulence
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• The large-scale structure of homogeneous turbulence
• Self-Consistent-Field Approach to Nonstationary Turbulence
• Analytical theories of turbulence
• Similarity and self-preservation in isotropic turbulence
• THE REDUCTION BY ONE OF THE NUMBER OF INDEPENDENT VARIABLES IN SOME SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS