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无条件稳定
相关语句
  unconditionally stable
    AN UNCONDITIONALLY STABLE FINITE-DIFFERENCE SCHEME FOR SOLVING TWO-DIMENSIONAL LONG-WAVE EQUATIONS
    二维长波方程的一个无条件稳定有限差分格式
短句来源
    The splitting-up method is applied to the wo-dimensional long-wave equations to give an unconditionally stable finite-difference scheme.
    本文对二维长波方程采用劈分算子法给出了一个无条件稳定的有限差分格式。
短句来源
    Accuracy analysis and stability analysis indicate that this scheme has two order accuracy and is unconditionally stable when grid size is constant.
    文中的精度分析和稳定性分析表明该差分格式在等步长条件下具有二阶精度、无条件稳定
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  unconditionally stable
Conditionally and unconditionally stable finite-difference schemes are constructed.
      
The splitting methods are found to be absolutely unconditionally stable.
      
The numerical scheme constructed is an unconditionally stable marching scheme, and the boundary conditions are determined on the basis of an explicit solution to the original equation at boundary points.
      
By freezing the coefficients in the analytical solutions, first and second order unconditionally stable weak schemes are developed.
      
In the proposed method, no calculation of the matrix exponential function is needed and the algorithm is unconditionally stable.
      
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The splitting-up method is applied to the wo-dimensional long-wave equations to give an unconditionally stable finite-difference scheme. The solution with this scheme for the tide in a uniform rectangular gulf is obtained and is consistent with the analytical solution. The application of this scheme to the diurnal and semidiurnal tides in the Bay of Beibuwan (the Gulf of Tonkin) gives the results in agreement to the observations.

本文对二维长波方程采用劈分算子法给出了一个无条件稳定的有限差分格式。将此格式运用于求解矩形等深海湾的潮波,得到与解析解一致的结果;运用于北部湾全日潮和半日潮的计算,结果与实测一致。

The analytical recursion schemes of the single and two step method with six kinds of solution states for numerical analysis of ice vibrating response for unequal time interval of MODF system of ocean structures in linear cases, are more systemtically derived in the paper. Some numerical analysis characteristics of the algorithm are discussed. The algorithm is more accurate. And the non-orthogonal damping problem may be solved. It' s proved that the algorithm is unconditionally stable and convergent,An example...

The analytical recursion schemes of the single and two step method with six kinds of solution states for numerical analysis of ice vibrating response for unequal time interval of MODF system of ocean structures in linear cases, are more systemtically derived in the paper. Some numerical analysis characteristics of the algorithm are discussed. The algorithm is more accurate. And the non-orthogonal damping problem may be solved. It' s proved that the algorithm is unconditionally stable and convergent,An example for computing ice vibrating response of the ocean platforms is provided at the end of the paper.

本文较为系统地给出了线性多自由度海洋结构物系统不等时间步长冰振反应数值分析单步法和两步法,共六种求解状态的解析递推格式,并且讨论了该算法的某些数值分析特性。本文算法计算精度高,可以求解非正交阻尼问题,是无条件稳定的算法,且满足收敛性要求。文末给出了一个海洋平台冰振反应分析的算例。

A simple and convenient implicit finite difference scheme is used for depthaveraged two dimensional storm surge model in this paper. This finite difference scheme is simpler and more efficient than the wide used ADI scheme.Accuracy analysis and stability analysis indicate that this scheme has two order accuracy and is unconditionally stable when grid size is constant.After tested by ideal models,a calculation example of a real typhoon surge is...

A simple and convenient implicit finite difference scheme is used for depthaveraged two dimensional storm surge model in this paper. This finite difference scheme is simpler and more efficient than the wide used ADI scheme.Accuracy analysis and stability analysis indicate that this scheme has two order accuracy and is unconditionally stable when grid size is constant.After tested by ideal models,a calculation example of a real typhoon surge is carried out,in which typhoon atmospheric pressure and wind field are calculated by Fujita.T.Model and Gradient Wind Formula,and the wind field due to typhoon motion is taken into account,and gradient wind is modified into wind above the sea.The results of the numerical simulation coincide well with the observed data and the accuracy is sufficient for engineering applications.

本文提出一种简便的交替方向隐式差分格式求解沿水深平均的二维风暴潮模型。这种差分格式比常用的ADI法具有更简单的形式和更高的计算效率。文中的精度分析和稳定性分析表明该差分格式在等步长条件下具有二阶精度、无条件稳定。在采用理想模型验证之后,本文给出了一次台风暴潮过程的计算实例,其中台风气压场和风场的模拟采用藤田气压模式和梯度风公式,并考虑台风移行产生的风场以及梯度风到海面风的订正。数值摸拟结果和实测值符合良好,其精度达到工程应用要求。

 
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