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非线性计算不稳定
相关语句
  nonlinear computational instability
     The Problems of Nonlinear Computational Instability to Evolution Equations
     发展方程的非线性计算不稳定问题
短句来源
     Problems of Nonlinear Computational Instability in Evolution Equations
     发展方程的非线性计算不稳定问题(英文)
短句来源
     Farther Research on Nonlinear Computational Instability Problems
     非线性计算不稳定问题的进一步研究
短句来源
     By means of qualitative analysis and numerical experiments, it is shown that nonlinear computational instability is prone to occur for three (time) level schemes, especially when two-step computational initial values have opposite signs and the dissipation coefficient is very small.
     利用定性分析和数值试验的方法证实这类三时间层格式有时容易出现非线性计算不稳定,尤其是两步计算初值反号和耗散系数过小的时候是如此.
短句来源
     Some new researchs on nonlinear computational instability are introduced, the contents are as follows: (1) Three types of representative evolution equations are analyzed, and the close relationship between the nonlinear computational stability and instability of their corresponding difference the properties of their solution is revealed;
     讨论了有关非线性计算不稳定的若干问题 ,其主要内容有 :(1 )考察了有代表性的三类发展方程 ,指出其对应的差分格式是否出现非线性计算不稳定 ,与原微分方程解的性质密切相关 ;
短句来源
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  相似匹配句对
     NONLINEAR COMPUTATIONAL INSTABILITY
     非线性计算不稳定
短句来源
     The Nonlinear Analysis of Brick Masonry
     砖砌体的非线性计算
短句来源
     The calculating results show that the influence is of nonlinear nature.
     计算表明其影响是非线性的。
短句来源
     We also give a new correction factor to simplify the calculation of the Unstatistic.
     的计算
短句来源
     Some Examples and Analysis for Nonlinear Computation Stability
     非线性计算不稳定的例子和分析
短句来源
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In this paper, the concept, phenomena and handling methods of nonlinear computational instability in the problems of numerical weather prediction are discussed. Computational schemes, stability theorem and calculated results are also presented.

本文综合介绍天气预报问题中的非线性计算不稳定的含义、计算现象和处理办法。文中还提出我们的计算格式、稳定性定理和计算结果。

In this paper, using the strang's convergence theory on the non-linear difference-equations, the important problem of the computational stability for the difference equations of the barotropic primitive equations is discussed. It is pointed out that there are two kinds of computational stability conditions for difference equations of non-linear barotropic primitive equations, which are associated with the intensity and the velocity of the gravity wave. The cause of the computational instability of the difference...

In this paper, using the strang's convergence theory on the non-linear difference-equations, the important problem of the computational stability for the difference equations of the barotropic primitive equations is discussed. It is pointed out that there are two kinds of computational stability conditions for difference equations of non-linear barotropic primitive equations, which are associated with the intensity and the velocity of the gravity wave. The cause of the computational instability of the difference equations of the barotropic primitive equations is analysed. It is pointed out that the problem of restraining the computational instability is a matter of controlling the increase of the intensity of the gravity wave with the time integration steps.

本文讨论了正压原始方程的差分方程的计算稳定性问题,指出该方程具有两类不同的计算稳定性条件,它们分别与重力波的强度和速度有关。本文还分析了引起非线性计算不稳定的原因,并认为抑制非线性计算不稳定问题可归结为抑制重力波强度不随积分步次的增长而不断增大的问题。

Nonlinear computational instability is an important problem in numerical weather prediction. In last two years, several problems about nonlinear computational stability have been analysed and discussed for the typical one-dimensional nonlinear advectionequation u/t+ uu/x 0, two-dimensional vorticity equation ζ/t+ uζ/x + vζ/y = 0and nonlinear evolution equation F/t+ AF= 0. In this paper, some general discussionsare made, which include the concept, example and methods of analysis for nonlinear computational instability,...

Nonlinear computational instability is an important problem in numerical weather prediction. In last two years, several problems about nonlinear computational stability have been analysed and discussed for the typical one-dimensional nonlinear advectionequation u/t+ uu/x 0, two-dimensional vorticity equation ζ/t+ uζ/x + vζ/y = 0and nonlinear evolution equation F/t+ AF= 0. In this paper, some general discussionsare made, which include the concept, example and methods of analysis for nonlinear computational instability, the for its generation mechanism, measures to overcome it, and constructions of computationally stable difference schemes and so on. Particularly, the relations between computational stability and conservative property of energy are analysed. It is shown that schemes of complete quadrate conservation have perfectly computational stability. However if the artificial disspation term is not added to the schemes, nonlinear computational instability may occur even for "Lilly scheme" or "Arakawa scheme" of transient quadrate conservation that are widely adopted in numerical weather prediction, because conservative property of energy would be broken when leap-forg time difference is used. Besides, mathematically, there are often dis-eontinuty in the solution of nonlinear equation, and only generalized solution or weak solution can be obtained. However, the conservation of energy is not guaranteed for the weak solution.

本文综合讨论了非线性计算不稳定的含义、例子、分析方法、产生的机理、克服的措施以及非线性计算稳定的差分格式的构造等问题。特别分析了计算稳定性与能量守恒性的密切关系,证明了时空差分意义下格式的完全平方守恒性是格式长时间计算稳定的最好的保证,指出即使象Arakawa格式和Lilly格式这样的瞬时平方守恒格式,在一定条件下也会出现非线性计算不稳定

 
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