A geometric interpretation of the second-order structure function arising in turbulence

DOI10.1007/s11040-008-9049-4zbMath1169.76027OpenAlexW2012416584MaRDI QIDQ835693

Vladimir N. Grebenev, Martin Oberlack

Publication date: 31 August 2009

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-008-9049-4

zbMATH Keywords

Riemannian geometryself-similar solutionBeltrami surfaceKármán-Howarth equation

Mathematics Subject Classification ID

Statistical turbulence modeling (76F55) Applications of differential geometry to physics (53Z05) Isotropic turbulence; homogeneous turbulence (76F05)

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Cites Work

• Theory of turbulence. Papers from a summer course, Udine, Italy, September 17--21, 2001
• Group analysis of the von Kármán-Howarth equation. I: Submodels
• Closure of the two-point correlation Equation as a basis for Reynolds stress models
• Numerical Simulation of Isotropic Turbulence Dynamics
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• A Chorin-Type Formula for Solutions to a Closure Model for the von K´arm´anHowarth Equation 1
• On the relationship between stochastic Lagrangian models of turbulence and second-moment closures
• On the Statistical Theory of Isotropic Turbulence
• Decay of turbulence in the final period
• Similarity and self-preservation in isotropic turbulence
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