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Low order Chaos in at Thermal Convection In a Closed Loop

机译:在闭环中在热对流的低阶混乱

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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.
机译:通过使用网格模型模拟闭环中的热对流。从我们的局部微分方程中,可以减少三个变量Lorentz Lorentz。在稳定的主流区域中,模拟结果与低阶系统一致,非常好。在稍微超强的临界区域中,网格模型的结果与低阶系统之一形成湍流稳定状态。在足够的超级关键区域中,结果显示了Lorenz,如同当特殊分辨率就足够的主流的混沌逆转。沿着环的主流的混沌逆转等Lorenz逆转出现在相当沉降的参数区域中,该参数区域位于稳定主流的不稳定区域中。混沌区域被广泛的湍流稳定区域包围。在混沌和湍流稳定之间的边缘区域,该行为具有微妙的实验性,初始和计算条件的灵敏度。

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