| 保持总能量守恒的“半拉格朗日算法” |
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| 引用本文： | 季仲贞,王斌.保持总能量守恒的“半拉格朗日算法”[J].计算物理,1996,13(4):403-409. |
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| 作者姓名： | 季仲贞 王斌 |
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| 作者单位： | LASG, 中国科学院大气物理研究所, 北京 100029 |
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| 基金项目： | 国家攀登计划项目和国家自然科学基金 |
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| 摘 要： | 大气海洋问题数值计算的重要特征之一是需要作长时间的数值积分,因此在方程差分离散化后如何保持原问题的物理特性成为一个很关键的问题。从传统的"半拉格朗日法"和显式完全能量守恒差分法中吸取"营养",设计出一种既能保持总能量守恒又能增大时间步长的显式差分算法
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| 关 键 词： | 半拉格朗日算法 总能量守恒 无条件稳定 显式差分格式 |
| 收稿时间： | 1995-07-07 |
| 修稿时间： | 1995-01-11 |
A SEMI-LAGRANGIAN INTEGRATION SCHEME KEEPING CONSERVATION OF TOTAL ENERGY |
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| Ji Zhongzhen,Wang Bin.A SEMI-LAGRANGIAN INTEGRATION SCHEME KEEPING CONSERVATION OF TOTAL ENERGY[J].Chinese Journal of Computational Physics,1996,13(4):403-409. |
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| Authors: | Ji Zhongzhen Wang Bin |
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| Institution: | LASG, Institute of Atmospheric Physics, Academia Sinica, Beijing 100029 |
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| Abstract: | One of important features in the numerical modelling of motions of atmosphere or ocean consists in the long period prediction.A key point in such simulations is to maintain the intrinsic physical features of the original problem and to preveant the distortion due to the accumulation of numerical errors.This paper takes into account the traditional Semi-Lagrangian integration scheme.A scheme is constructed so as to keep the conservation of total energy and enlarge the time step to one decade times.Besides it is an explicit scheme,it avoids complex matrices.Several preliminary numerical tests show good perspective of this scheme. |
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| Keywords: | Semi-Lagrangian integration scheme conservation of total energy unconditional stability explicit difference scheme |
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