Group analysis of the von Kármán-Howarth equation. I: Submodels

DOI10.1016/S1007-5704(02)00003-5zbMath1027.35103MaRDI QIDQ1612049

R. Smith

Publication date: 13 January 2004

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

Lie algebrasubalgebravon Kármán-Howarth equationclosure problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Geometric theory, characteristics, transformations in context of PDEs (35A30) Isotropic turbulence; homogeneous turbulence (76F05)

Related Items (8)

A geometric interpretation of the second-order structure function arising in turbulence ⋮ Von Kármán-Howarth and Corrsin equations closure based on Lagrangian description of the fluid motion ⋮ Optimal system and group invariant solutions for a nonlinear wave equation. ⋮ On new scaling laws in a temporally evolving turbulent plane jet using Lie symmetry analysis and direct numerical simulation ⋮ Statistical symmetries and its impact on new decay modes and integral invariants of decaying turbulence ⋮ Comment on ‘Conformal invariance of the Lundgren–Monin–Novikov equations for vorticity fields in 2D turbulence’ ⋮ Comment on ‘Conformal invariance of the zero-vorticity Lagrangian path in 2D turbulence’ ⋮ Group analysis of the von Kármán-Howarth equation. II: Physical invariant solutions

Cites Work

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