Lie Algebra of the Symmetries of the Multi-Point Equations in Statistical Turbulence Theory

DOI10.1142/S1402925111001404zbMath1362.76026WikidataQ115244615 ScholiaQ115244615MaRDI QIDQ5737684

Martin Oberlack, Andreas Rosteck

Publication date: 30 May 2017

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

zbMATH Keywords

Lie algebraturbulenceLie symmetrymulti-point statistics

Mathematics Subject Classification ID

Fundamentals of turbulence (76F02) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (9)

Dissipation element analysis in turbulent channel flow ⋮ The numerical approximation of nonlinear functionals and functional differential equations ⋮ New scaling laws of passive scalar with a constant mean gradient in decaying isotropic turbulence ⋮ Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation ⋮ On new scaling laws in a temporally evolving turbulent plane jet using Lie symmetry analysis and direct numerical simulation ⋮ Response to “Comment on ‘Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation’” [J. Math. Phys. 57, 034102 (2016)] ⋮ EXPLICIT SERIES SOLUTION OF A CLOSURE MODEL FOR THE VON KÁRMÁN–HOWARTH EQUATION ⋮ New symmetry-induced scaling laws of passive scalar transport in turbulent plane jets ⋮ Statistical symmetries and its impact on new decay modes and integral invariants of decaying turbulence

Cites Work

• Applications of symmetry methods to partial differential equations
• Symmetry and integration methods for differential equations

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