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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

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【作者】 王晓林夏大庆吴辉碇

【Author】 Wang Xiao-lin, Xia Da-qing, Wu Hui-ding (Department of Geophysics, Pelting University)

【机构】 北京大学地球物理系北京大学地球物理系

【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。

【Abstract】 In this paper, a time integral scheme based on variational principle is preseh-ted. 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.

  • 【文献出处】 气象学报 ,Acta Meteorologica Sinica , 编辑部邮箱 ,1981年02期
  • 【下载频次】33
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