On the Lie symmetries of characteristic function hierarchy in compressible turbulence

DOI10.1017/S0956792522000092OpenAlexW4223431752MaRDI QIDQ6049377

Dominik Plümacher, Martin Oberlack, Divya Sri Praturi

Publication date: 15 September 2023

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792522000092

zbMATH Keywords

compressible turbulencesymmetry analysischaracteristic function hierarchy

Mathematics Subject Classification ID

Compressibility effects in turbulence (76F50) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Cites Work

• The pdf approach to turbulent flow
• New statistical symmetries of the multi-point equations and its importance for turbulent scaling laws
• New scaling laws of passive scalar with a constant mean gradient in decaying isotropic turbulence
• Multipoint distribution function hierarchy for compressible turbulent flow
• Turbulent Flows
• On new scaling laws in a temporally evolving turbulent plane jet using Lie symmetry analysis and direct numerical simulation
• New scaling laws for turbulent Poiseuille flow with wall transpiration
• New symmetry-induced scaling laws of passive scalar transport in turbulent plane jets
• Lie symmetry analysis of the Lundgren–Monin–Novikov equations for multi-point probability density functions of turbulent flow
• Symmetries and differential equations
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