Everything about Taylor–Green vortex
Periodic vortex array in fluid dynamics
In fluid dynamics, the Taylor–Green vortex is a spatially periodic array of counter-rotating vortices, named after the British physicist and mathematician G. I. Taylor and his collaborator Albert E. Green. In two dimensions the array decays under viscosity without changing shape, and the decaying flow is an exact closed-form solution of the incompressible Navier–Stokes equations. Taylor published it in 1923, and it is commonly used to test numerical methods. The three-dimensional version, which Taylor and Green introduced in 1937 to study how large eddies produce smaller ones, does not keep its shape as vortex stretching passes its energy to ever smaller scales until the flow becomes turbulent. It has become a standard benchmark for simulations of transition to turbulence. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Taylor–Green vortexA 5-minute orientation
- Skim a recent paper: Stability threshold of two-dimensional Couette flow in Sobolev spacesInfluential work since 2022
- Pick up a classic book: Application of the space-time conservation element and solution element method to two-dimensional advection-diffusion problemsThe most-reprinted book on the subject
- Read the landmark paper: Statistical dynamics of two-dimensional flowCited 310 times
- Go sideways: Beltrami flowA closely related topic
- Go sideways: Kerr–Dold vortexA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Statistical dynamics of two-dimensional flow
Modeling of two‐dimensional overland flow
Creeping flow in two-dimensional networks
Creeping flow in two-dimensional channels
On Two-Dimensional Sonic-Subsonic Flow
A two-dimensional model for quasigeostrophic flow: comparison with the two-dimensional Euler flow
Two-dimensional dam break flow simulation
Couette flow of two-dimensional foams
🆕 Influential since 2022
Stability threshold of two-dimensional Couette flow in Sobolev spaces
Two‐Dimensional MFI‐Type Zeolite Flow Battery Membranes
R410A flow condensation inside two dimensional micro-fin tubes and three dimensional dimple tubes
Multistability of elasto-inertial two-dimensional channel flow
Two‐Dimensional Materials Applied in Membranes of Redox Flow Battery
📚 Books worth reading
- 📕Application of the space-time conservation element and solution element method to two-dimensional advection-diffusion problemsXiao-Yen Wang · 1995
- 📕Rayleigh-Beńard simulation using gas-kinetic BGK scheme in the incompressible limitXu, Kun. · 1998
- 📕Cold-flow study of low frequency pressure instability in hybrid rocket motorsRhonald M. Jenkins · 1997
- 📕Higher-order compact schemes for numerical simulation of incompressible flowsRobert V. Wilson · 1998
- 📕The space-time conservation element and solution element method--a new high-resolution and genuinely multidimensional paradigm for solving conservation lawsXiao-Yen Wang · 1998
- 📕Self-similar compressible free vorticesKarl Von Ellenrieder · 1998
- 📕A far-field non-reflecting boundary condition for two-dimensional wake flowsJeffrey S. Danowitz · 1995
- 📕Multigrid approach to incompressible viscous cavity flowsWilliam A. Wood · 1996
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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