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FREE SURFACE FLOW AND HEAT TRANSFER IN CAVITIES - THE SEA ALGORITHM

机译:腔中的自由表面流动和热传递-海洋算法

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This study concerns the mathematical modeling of heat transfer and free surface motion under gravity, in cavities partially filled with a liquid. This two-phase flow problem is solved using a single-phase technique that assumes the air and liquid occupying the volume of the cavity can be treated as a single fluid with a sharp property discontinuity at the interface. A two-valued scalar advection equation is solved to mark the extent of each fluid. This idea is simple in concept, but requires careful application for two reasons: (1) The interface must remain sharp throughout the simulation; and (2) the equations of motion have to be expressed in a way that prevents the numerical ''smothering'' of the lighter fluid by the heavy one during the iteration process. To satisfy (1), the Van Leer TVD differencing scheme is adopted for the scalar advection equation, with appropriate flux corrections in the momentum and enthalpy equations. To satisfy (2) the continuity equation is expressed in volumetric form. The technique is incorporated in the scalar equation algorithm (SEG). It is applied to two problems, the first being the collapse of a liquid column in a sealed cavity with wad heat transfer, and the second the filling and simultaneous cooling of a mold with liquid aluminum. [References: 25]
机译:这项研究涉及在部分充满液体的空腔中重力作用下的传热和自由表面运动的数学模型。使用单相技术解决了该两相流动问题,该技术假设占据空腔体积的空气和液体可以被视为在界面处具有明显特性不连续性的单一流体。求解了一个二值标量对流方程,以标记每种流体的范围。这个想法概念上很简单,但是由于两个原因需要仔细应用:(1)在整个仿真过程中,界面必须保持清晰; (2)运动方程必须以一种方式来表达,以防止在迭代过程中较轻的流体被较重的流体数值“窒息”。为了满足(1),标量对流方程采用Van Leer TVD微分方案,并在动量和焓方程中进行了适当的通量校正。为了满足(2),以体积形式表示连续性方程。该技术被纳入标量方程算法(SEG)中。它适用于两个问题,第一个问题是随着一团传热,液柱在密封腔中塌陷,第二个问题是用液态铝填充和同时冷却模具。 [参考:25]

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