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| 热源周期振荡条件下一维融化问题的数值研究 | |
| 引用本文： | 曲良辉,杨金根,邢琳,令锋,董丽. 热源周期振荡条件下一维融化问题的数值研究[J]. 信阳师范学院学报(自然科学版), 2015, 0(3): 334-337 |
| 作者姓名： | 曲良辉 杨金根 邢琳 令锋 董丽 |
| 作者单位： | 1. 中原工学院理学院,河南郑州,450007 2. 信阳师范学院数学与信息科学学院,河南信阳,464000 3. 肇庆学院数学与统计学院,广东肇庆,526061 |
| 基金项目： | 国家自然科学基金项目(41271076)；河南省科技攻关项目(112102310672)；郑州市普通科技攻关项目(121PPTGG363-11)；河南省基础与前沿技术研究计划项目 |
| 摘 要： | 借助空间坐标变换,把移动区域模型转化为固定区域模型,通过构造显式和隐式两种有限差分格式求解热源周期振荡条件下的一维融化问题.对所构造的两种差分格式分别研究它们的数值稳定性,比较它们的计算量和计算效率;应用这两种差分格式分别数值模拟融化过程中移动边界的运动及液态介质内温度场的分布.数值实验结果表明,这两种差分格式的数值结果吻合得非常好,而隐式差分格式的计算效率要明显优于显式差分格式. |
| 关 键 词： | 融化 周期性 温度 移动边界 有限差分 |
Numerical Studies of One-dimensional Melting Problem with Periodic Heat Source |
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| Qu Lianghui , Yang Jingen , Xing Lin , Ling Feng , Dong Li. Numerical Studies of One-dimensional Melting Problem with Periodic Heat Source[J]. Journal of Xinyang Teachers College(Natural Science Edition), 2015, 0(3): 334-337 | |
| Authors: | Qu Lianghui Yang Jingen Xing Lin Ling Feng Dong Li |
| Affiliation: | ,College of Science,Zhongyuan University of Technology,College of Mathematics and Information Science,Xinyang Normal University,School of Mathematics and Statistics,Zhaoqing University |
| Abstract: | Two finite difference schemes,the explicit and implicit schemes,were established to solve the one-dimensional melting problem with periodic heat source,while the moving boundary model of the melting problem was transformed to a fixed boundary model by a simple stretching of the spatial coordinate. The numerical stabilities of the explicit and implicit schemes were studied. The computational complexity and efficiency of these two schemes were compared. Also the evolution of the moving boundary and the temperature distribution were simulated numerically by using these two finite difference schemes for the one-dimensional melting problem with periodic heat source. Numerical experiment results showed that the results obtained from these two schemes were in good agreement,but the computational efficiency of the implicit scheme was much higher than that of the explicit scheme. |
| Keywords: | melting periodicity temperature moving boundary finite difference |
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