导热控制相变问题的一种隐焓解法

在变换焓公式、分离潜热源项的基础上,提出了计算导热控制相变问题的一种等体积节点跳跃隐焓解法。其基本特征是固定空间节点而改变时间步长,确保相前沿总是位于一预先给定的计算节点上,从而将潜热源项的变化处理为内热源项的定常变化。此法适用于计算直角、柱、球座标下的一维导热控制相变问题。

AN IMPLICIT ENTHALPY SOLUTION OF CONDUCTION-CONTROLLED PHASE CHANGE PROBLEMS

An implicit enthalpy solution is developed for analysis of one-dimensional conduction controlled phase change problems. The solution is based on separating the sensible and latent heat terms in an enthalpy formulation. By making the assumption of equal volume node-jumping,a variable time together with a fixed space grid is used to ensure that the phase boundary is always on a node point,so that the nonlinearity associated with the latent heat can be effectively dealt with via the source term. A freezing problem around a pipe with analytical solution is applied to demonstrate the effect of the present method.