| 强迫耗散非线性发展方程准完全平方守恒格式的构造 |
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| 作者姓名： | Lin Wantao Ji Zhongzhen Wang Bin |
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| 作者单位： | Lin Wantao; JiZhongzhen; and Wang Bin State Key Laboratory of Numerical Modelingfor Atmospheric Sciences and Geophysical Fluid Dynamics. Institute of Atmospheric Physics. Chinese Academy of Sciences，Beijing 100629 |
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| 基金项目： | the Outstanding State Key Laboratory Project of National Science Foundation of China (Grant No. 40023001 )，the Key Innovatio |
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| 摘 要： | 从描述大气和海洋运动的强迫耗散非线性发展方程出发，对强迫耗散非线性大气和海洋方程组显式差分格式的计算稳定性进行了分析，构造了一类强迫耗散性发展方程的显式准完全平方守恒差分格式，理论分析和数值试验证明，这类显式准完全平方守恒差分格式是计算稳定的．值得推广应用。
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| 关 键 词： | 强迫耗散非线性发展方程 显式准完全平方守恒差分格式 计算稳定性 |
| 收稿时间： | 27 October 2000 |
Construction of explicit quasi-Complete square conservative difference schemes of forced dissipative nonlinear evolution equations |
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| Lin Wantao,Ji Zhongzhen,Wang Bin.Construction of explicit quasi-Complete square conservative difference schemes of forced dissipative nonlinear evolution equations[J].Advances in Atmospheric Sciences,2001,18(4):604-612. |
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| Authors: | Lin Wantao Ji Zhongzhen Wang Bin |
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| Institution: | State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese ,Academy of Sciences,Beijing 100029,State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese ,Academy of Sciences,Beijing 100029,State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese ,Academy of Sciences,Beijing 100029 |
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| Abstract: | Based on the forced dissipative nonlinear evolution equations for describing the motion of atmosphere and ocean, the computational stability of the explicit difference schemes of the forced dissipative nonlinear atmospheric and oceanic equations is analyzed and the computationally stable explicit complete square conservative difference schemes are constructed. The theoretical analysis and numerical experiment prove that the explicit complete square conservative difference schemes are computationally stable and deserve to be disseminated. |
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| Keywords: | Forced dissipative nonlinear evolution equation Explicit quasi-complete square conservative difference scheme Computational stability |
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