Similarity transformations for the two-dimensional, unsteady, stream-function equation

DOI10.1017/S0022112078000634zbMath0376.76027MaRDI QIDQ4153783

Brian J. Cantwell

Publication date: 1978

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99) Hyperbolic conservation laws (35L65) Isotropic turbulence; homogeneous turbulence (76F05)

Related Items (7)

Existence and features of similarity solutions for non-Boussinesq gravity currents ⋮ Analysis and development of subgrid turbulence models preserving the symmetry properties of the Navier-Stokes equations ⋮ One class of regular partially invariant solutions of the Navier-Stokes equations ⋮ Invariant subgrid modelling in large eddy simulation of heat convection turbulence ⋮ Vortices and invariant surfaces generated by symmetries for the 3D Navier-Stokes equations ⋮ Exact time-dependent flows for non-shallow water equations ⋮ Similarity solutions of the Euler equation and the Navier-Stokes equation in two space dimensions

Cites Work

• Streaklines in a Perturbed Shear Flow
• Invariance Group of the Equation$\partial {\bf u} / \partial t = - {\bf u} \cdot \nabla {\bf u}$

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