The Numerical Solution of One-Dimensional Phase Change Problems Using an Adaptive Moving Mesh Method
The Numerical Solution of One-Dimensional Phase Change Problems Using an Adaptive Moving Mesh Method
复制标题
使用自适应移动网格法数值求解一维相变问题
DOI：
10.1006/jcph.2000.6511
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发表时间：
2000
影响因子：
4.1
通讯作者：
M. L. Robertson
中科院分区：
文献类型：
--
作者：
J. Mackenzie;M. L. Robertson
针对相变热传导问题的焓公式，提出了一种自适应移动网格法。该算法基于一种非常简单的网格修改策略，允许网格节点平滑进化以跟踪接口。采用一种新颖的半隐式运动网格离散方法在每个时间步上求解非线性焓方程，并证明该方法具有唯一解。给出了两相冻结问题、点焊过程模型和具有变数量界面的三相问题的数值算例。这些测试用例证明了整个策略的准确性和有效性。
An adaptive moving mesh method is developed for the numerical solution of an enthalpy formulation of heat conduction problems with a phase change. The algorithm is based on a very simple mesh modification strategy that allows the smooth evolution of mesh nodes to track interfaces. At each time step the nonlinear enthalpy equation is solved using a novel semi-implicit moving mesh discretisation which is shown to possess a unique solution. Numerical examples are given for a two-phase freezing problem, a model of a spot-welding process, and a three-phase problem with a varying number of interfaces. These test cases demonstrate the accuracy and effectiveness of the overall strategy.