Numerical solution of a moving-boundary problem with variable latent heat
Numerical solution of a moving-boundary problem with variable latent heat
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DOI：
10.1016/j.ijheatmasstransfer.2008.08.036
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发表时间：
2009-03
影响因子：
5.2
通讯作者：
Rajeev;K. N. Rai;Subir Das
中科院分区：
文献类型：
--
作者：
Rajeev;K. N. Rai;Subir Das
在沉积洋盆中海岸线运动过程中出现的问题是具有可变潜热的移动边界问题。本文提出了一种数值方法来解决这个问题。将控制上述过程的微分方程转化为向量矩阵形式的初值问题。时间函数用切比雪夫级数逼近，积分运算矩阵应用于时间函数的计算。问题的解决方案，然后发现在第二类切比雪夫多项式。在界面方程中迭代地利用该解来确定达到给定海岸线位置所需的时间。使用Mathematica软件获得的数值结果，并以图形方式与从出版的解析解获得的值进行比较。
The problem that arises during the movement of the shoreline in a sedimentary ocean basin is a moving-boundary problem with variable latent heat. A numerical method is presented for the solution of this problem. The differential equations governing the above process are converted into initial value problem of vector–matrix form. The time function is approximated by Chebyshev series and the operational matrix of integration is applied. The solution of the problem is then found in terms of Chebyshev polynomials of the second kind. The solution is utilized iteratively in the interface equation to determine time taken to attain a given shoreline position. The numerical results are obtained using Mathematica software and are compared graphically with the values obtained from a published analytical solution.