閉ループ内熱対流における低自由度カオス(流体数理(2),一般講演)

概要

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Thermal convection in a closed loop was simulated by using a grid model. From our partial differential equations, a three variables Lorentz like system can be reduced. In stable steady region of main flow, result of the simulation agree with the low order system, very well. In slightly super critical region, result of the grid model shows turbulent stable state in contrast with one of the low order system. In sufficient super critical region, the result shows Lorenz like chaotic reversal of main flow, when special resolution is sufficient. The Lorenz like chaotic reversal of main flow along the loop appeared in rather shrunk parameter region which locates in unstable region of the steady main flow. The chaotic region is surrounded by broad turbulent stable region. On the edge region between chaos and turbulent stable, the behavior has delicate sensitivity for experimental, initial and computational conditions.
2007-08-06