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In fluid dynamics, the Taylor–Green vortex is an unsteady flow of a decaying vortex, which has an exact closed form solution of the incompressible Navier–Stokes equations in Cartesian coordinates. It is named after the British physicist and mathematician Geoffrey Ingram Taylor and his collaborator A. E. Green.〔 Taylor, G. I. and Green, A. E., ''Mechanism of the Production of Small Eddies from Large Ones'', Proc. R. Soc. Lond. A, 158, 499–521 (1937).〕 ==Original work== In the original work of Taylor and Green,〔 a particular flow is analyzed in three spatial dimensions, with the three velocity components at time specified by : : : The continuity equation determines that . The small time behavior of the flow is then found through simplification of the incompressible Navier–Stokes equations using the initial flow to give a step-by-step solution as time progresses. An exact solution in two spatial dimensions is known, and is presented below. 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Taylor–Green vortex」の詳細全文を読む スポンサード リンク
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