王晓林,夏大庆,吴辉碇. 1981. 应用变分原理积分正压原始方程[J]. 气象学报, 39(2):150-156, doi:10.11676/qxxb1981.017
应用变分原理积分正压原始方程
INTEGRATION OF THE BAROTROPIC PRIMITIVE EQUATIONS BASED ON THE VARIATIONAL PRINCIPLE
投稿时间:1979-07-10  修订日期:1980-02-01
DOI:10.11676/qxxb1981.017
中文关键词:  
英文关键词:
基金项目:
作者单位
王晓林 北京大学地球物理系 
夏大庆 北京大学地球物理系 
吴辉碇 北京大学地球物理系 
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中文摘要:
      将正压原始方程组无量纲化以后,把量级近似相当的动能与有效位能之和守恒作为变分约束条件,有效地控制了非线性不稳定,使长时间积分中能保持总能量守恒.其结果可和其它积分方法相比.
英文摘要:
      In this paper,a time integral scheme based on variational principle is presehted.The dimensionless form of the primitive equations is taken into account and the sum of the kinetic and available potential energies is used as the variational constraint condition in order to prevent the nonlinear instablity during long-term numerical integration.The results are comparable with those used by other integral methods.
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