Incompressible fluid turbulence at large Reynolds numbers: Theoretical basis for the t−1 decay law and the form of the longitudinal correlation function

DOI10.1063/1.525128zbMath0472.76057OpenAlexW2015567696MaRDI QIDQ3926940

Gerald Rosen

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1063/1.525128

zbMATH Keywords

large Reynolds numbersHopf equationlongitudinal correlation functionasymptotic power series in \(t^{-1}\)grid-generatedinitial inertial-force dominated period of decay

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Isotropic turbulence; homogeneous turbulence (76F05)

Related Items

The energy decay in self-preserving isotropic turbulence revisited, Exact theory for the self-similarity and decay of homogeneous turbulence, Inequalities in isotropic homogeneous turbulence theory, Functional integrals in Navier–Stokes incompressible fluid turbulence

Cites Work

• Functional Approach to Classical Non-Equilibrium Statistical Mechanics
• On the Statistical Theory of Isotropic Turbulence
• Fourier synthesis of homogeneous turbulence