| 论辐射加热问题的时间积分 |
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| 引用本文： | 廖洞贤. 论辐射加热问题的时间积分. 应用气象学报, 2001, 12(2): 242-245. |
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| 作者姓名： | 廖洞贤 |
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| 作者单位： | 国家气象中心, 北京 100081 |
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| 摘 要： | 在满足有界条件的数值解是计算稳定的定义下, 讨论了辐射加热问题的时间积分, 并证明:如辐射加热和其对时间的一阶微商均连续时, 用向前差分格式计算的数值解是计算稳定的。还用一个例子证明:问题的数值解可以收敛到其解析解。
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| 关 键 词： | 辐射加热问题 时间积分 计算稳定性 |
| 收稿时间： | 1999-11-04 |
| 修稿时间： | 1999-11-04 |
On the Time Integration of Radiation Heating Problems |
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| Liao Dongxian. On the time integration of radiation heating problems. J Appl Meteor Sci, 2001, 12(2): 242-245. |
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| Authors: | Liao Dongxian |
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| Affiliation: | National Meteorological Center, Beijing 100081 |
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| Abstract: | Subject to the satisfaction of the definition that any bounded numerical solution can be said to be computational stable, discussions are made on the time integration of radiation heating problems. It is proved that the numerical solution obtained by the time forward difference scheme is stable if the heating and its first time derivative are continuous. On the other hand, in order to demonstrate the convergence of the numerical solution to the analytical solution of the problem, an example is given. |
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| Keywords: | Radiation heating problem Time integration Computational stability |
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