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Computation of solidification and melting using the PISO algorithm

机译:使用PISO算法计算凝固和熔化

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The main goal of this article is to introduce a numerical procedure for the calculation of solidification and melting using the PISO algorithm. Since coupling among velocity, pressure, temperature, and liquid fraction is important in phase-change problems, an improved PISO algorithm is required to couple these variables properly. To achieve this goal, the present study proposes the use of the enthalpy method for the inner iterations of the matrix solver, in order to predict more accurate temperature and liquid fraction that satisfy the energy balance criterion simultaneously. Another difference of the present method from other conventional coupling methods is in updating the permeability term of the momentum equation with liquid fractions predicted in the first correction step. This may couple the velocities with the liquid fractions more closely. A comparison of the proposed method with a standard iterative method is made for three different cases, showing that improved predictions are obtained in terms of computing speed and solution robustness.
机译:本文的主要目的是介绍一种使用PISO算法计算凝固和熔化的数值程序。由于速度,压力,温度和液体分数之间的耦合对于相变问题很重要,因此需要一种改进的PISO算法来正确耦合这些变量。为了实现这一目标,本研究提出将焓法用于矩阵求解器的内部迭代,以便预测同时满足能量平衡标准的更精确的温度和液体分数。本方法与其他常规耦合方法的另一个不同之处在于,用在第一校正步骤中预测的液体分数更新了动量方程的渗透率项。这可以使速度与液体部分更紧密地耦合。在三种不同情况下,将建议的方法与标准的迭代方法进行了比较,表明在计算速度和解决方案的鲁棒性方面获得了改进的预测。

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