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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >COMPARISON OF GENERAL-PURPOSE FINITE-ELEMENT METHODS FOR THE STEFAN PROBLEM
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COMPARISON OF GENERAL-PURPOSE FINITE-ELEMENT METHODS FOR THE STEFAN PROBLEM

机译：斯蒂芬问题的通用目的有限元方法的比较

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A number of fixed-grid finite-element methods were tested on problems involving heat conduction with phase change. Only methods that can deal with arbitrary enthalpy-temperature relationships were considered. Comparisons were made of temperature gradient versus enthalpy gradient formulations, lumped versus distributed capacitance, time-average versus space-average apparent heat capacity, and iterative versus noniterative methods. The apparent heat capacity methods that incorporate lumped capacitances and Pham's correction performed best, in terms of agreement with analytical solutions and speed of computation (as measured by the number of matrix solutions). The best iterative method allows marginally larger time intervals to be used and guarantees perfect heat balance, but for a given accuracy it is usually slower than the best noniterative methods. A further advantage of the noniterative methods is that the heat balance can serve as a useful check of convergence, a heat balance error of more than 1% generally indicating that convergence has not been reached. [References: 23]
机译：针对涉及相变导热的问题，测试了多种固定网格有限元方法。仅考虑了可以处理任意焓-温关系的方法。比较了温度梯度与焓梯度公式，集总与分布电容，时间平均与空间平均视在热容量以及迭代与非迭代方法。结合集总电容和Pham校正的视在热容量方法在与解析解和计算速度（以矩阵解的数量来衡量）的一致性方面表现最佳。最佳的迭代方法允许使用稍大的时间间隔并确保完美的热平衡，但是对于给定的精度，通常比最佳的非迭代方法要慢。非迭代方法的另一个优点是，热平衡可以用作收敛的有用检查，热平衡误差大于1％通常表示尚未达到收敛。 [参考：23]

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