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数值耗散
相关语句
  numerical dissipation
    A TVD SCHEME WITH LESS NUMERICAL DISSIPATION
    一种具有较小数值耗散的对称TVD格式
短句来源
    However, when we use these schemes to compute the initial problem of hyperbolic conservation laws, there is still numerical dissipation near the interface, that is to say, the resolution is decreased near the interface.
    但是,我们知道,即使用这两种格式来计算双曲守恒律方程的初值问题,在间断面的附近仍会发生数值耗散,也就是说在间断处的分辨率降低了。
短句来源
    In this algorithm we introduce a free parameter δ, which may control the decay of amplitude and effectively filter the high mode response from the solution. When δ= 1/6, the basic equations of the algorithm have no numerical dissipation.
    本算法引入一个自由参数δ,用以控制振幅的衰减,致使解中的高振型响应,可以有效地被滤掉,当δ=1/6时,可使算法的原始方程没有数值耗散
短句来源
    In order to reduce the numerical viscosities of TVD schemes and improve their resolution, this paper suggests a new TVD scheme of Harten form with less numerical dissipation. Numerical experiments show that such a TVD scheme is better than Harten TVD scheme [1] and modified Harten scheme (Harten-Yee TVD scheme [2] ) in simulating boundary layer and vortices.
    为了减小TVD格式的数值粘性,提高TVD格式的分辨度,提出了一种 具有较小数值耗散的Harten型TVD格式.数值模拟结果表明,这种Harten型TVD 格式比原来的Harten格式[1]及其改进形式Harten—Yee[2]的TVD格式能更好地模拟 出边界层及涡流。
短句来源
    The paper also presents the basic ideas on reconstruction of numerical solution distribution,based on the proposed TVD requirements,to reduce numerical dissipation and improve resolution of the contact discontinuities and head/tail of rarefaction waves.
    同时提出了基于TVD需求再构数值解分布,以降低数值耗散从而提高接触面及膨胀波头/波尾分辨率的基本思路。
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  “数值耗散”译为未确定词的双语例句
    When t=1.5, thenumerical result of MCupwind scheme is not as good as that of TVDVL scheme, butit seems to be better than that of ENOLLF scheme.
    MCupwind格式较其他两种格式有更强的数值耗散, t=1.5时刻的结果差于TVDVL格式, 但似乎比ENOLLF格式更好.
短句来源
    We first establish a sufficient condition under which a class of delay functional differential dynamical systems is dissipative. Then we construct a one-leg θ-method to solve such dissipative dynamical systems and prove that the one-leg θ-method is dissipative if θ ∈ [1/2, 1].
    首先,对于一类一般的滞时泛函微分动力系统,给出了一个滞时泛函微分动力系统耗散的充分条件,然后构建了一个单支θ-方法来求解此类耗散动力系统,并证明当θ∈[1/2,1]时单支θ-方法是数值耗散的。
短句来源
    We consider another class of delay functional differential dynamical systems and establish a sufficient condition under which such delay functional differential dynamical systems are dissipative.
    其次,对于另一类滞时泛函微分动力系统,论文从不同于前的角度给出了动力系统耗散的充分条件,并构建了求解此耗散动力系统的单支θ-方法,同时证明当θ=1时单支θ-方法是数值耗散的。
短句来源
    Numerical calculation results show that the developed scheme has many advantages such as having small dissipation and dispersion, needing little nodes, being put into practice easily, and being well suitable for both convection-dominant flow and diffusion-dominant flow.
    数值试验结果表明,该格式具有数值耗散和数值频散较小、节点少、便于应用等特点,且对求解对流扩散方程的对流占优和扩散占优的流动均有较好的适应性.
短句来源
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  numerical dissipation
It has been well studied that the γ-function explicit method can be effective in providing favorable numerical dissipation for linear elastic systems.
      
It is also shown that this integration method provides favorable numerical dissipation not only for linear elastic systems but also for nonlinear systems.
      
Furthermore, the numerical dissipation of the method can be flexibly regulated, so that it is especially suitable for solving various discontinuity problems.
      
For different limiters, the different strength of numerical dissipation and dispersion of schemes is the reason why the schemes show obvious different characteristics.
      
After analysing and comparing the numerical dissipation and dispersion of various schemes, a new kind of limiter is proposed.
      
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In this paper, a new two-step numerical integration method is proposed which is unconditionally stable. In this algorithm we introduce a free parameter δ, which may control the decay of amplitude and effectively filter the high mode response from the solution. When δ= 1/6, the basic equations of the algorithm have no numerical dissipation. This algorithm possesses a higher accuracy than Wilson-θ and Hilber-α method.

本文给出了结构动力学中的一个新的无条件稳定的两步数值积分法。本算法引入一个自由参数δ,用以控制振幅的衰减,致使解中的高振型响应,可以有效地被滤掉,当δ=1/6时,可使算法的原始方程没有数值耗散。本算法的精度比Wilson-θ法、Hilber-α法有明显提高。本文还讨论了此法在弹塑性地震反应中的应用问题。

A new method for numerical modelling of aquatic environments is presented in this paper. It is based on a hybrid method of fractional steps using triangular grids and with L∞-stability, An upwind discretization scheme or a modified characteristics procedurs is used for convection operator,the lumping finite element technique for diffusion calculation. Stability analysis proved in detail shows that the scheme is L∞-stable under conditions. (1)Δ≤min(2d/v,d~2/3k) where V= max(u~2+v~2)~1/2, d = the minimum perpendicular...

A new method for numerical modelling of aquatic environments is presented in this paper. It is based on a hybrid method of fractional steps using triangular grids and with L∞-stability, An upwind discretization scheme or a modified characteristics procedurs is used for convection operator,the lumping finite element technique for diffusion calculation. Stability analysis proved in detail shows that the scheme is L∞-stable under conditions. (1)Δ≤min(2d/v,d~2/3k) where V= max(u~2+v~2)~1/2, d = the minimum perpendicular length of all the triangles, k=diffusivity,and( 2 )all the angles of triangles are less than or equal toπ/2.It is shownalso that the L∞-stability implies the nonnegativity of numerical solutions for the concentration or for the excess temperature. To test numerically the convergence and accuracy of this method for nonlinear problem the method was run for a one-dimenslonal nonlinear convection diffusion equation with known analybic soluticn.It can be concluded that the numerical damping effect in computation is insignificant,the modified characteristics procedure for treatment of the convection has more accuracy than the upwind scheme. L∞-stability, simplicity and flexibility in handling complex geometries make this method applicable to many practical problems.

本文提出了一种数值求解对流扩散方程的分步杂交方法。在不规则的三角形网格上,采用迎风离散格式或改型特征线方法处理对流算子;采用集中质量的有限元方法处理扩散算子。详细分析了这种算法的稳定性同题,在数学上严格证明了在满足①Δt≤min(2d/v,d~2/3K),其中d是三角形网格中最短垂线的长度,V和K分别为流场中的最大速度和扩散系数。②所有三角形的内角0≤π/2的条件下,整个计算格式是L_∞稳定的,从而保证了在海洋环境和水质的数值模拟中海水的盐度、污染物的浓度和核电站冷却水系统中的超温不会出现负值。应用非线性的对流扩散方程对此方法的精度和收敛性进行了检验。通过数值解与精确解的比较,表明本方法的数值耗散很小,用改型特征线方法处理对流算子较迎风离散格式有更高的精度;两种处理对流算子的方法都没有伪振荡现象发生。本方法由于具有算法简单、L_∞稳定、计算网格灵活等优点,可推广使用于实际的海洋环境(潮波、海流、海洋污染)、港口和海湾的数值模拟以及不可压粘性流和对流传热同题的数值计算。

In this paper a new approach for desgining upwind type schemes-the charac-terizing-integral method and its applied skills are introduced. The method is simple, convenient and effective. And the method isn't only limited to conservation laws unlike other methods. It maybe easily extended to multi-dimension problems. Furthermore, the numerical dissipation of the method can be flexibly regulated, so that it is especially suitable for solving various discontinuity problems.

本文介绍一种简单而又行之有效的顺风型格式——特征化积分格式的设计方法及应用技术,用这种方法设计的顺风型格式不受方程有型性的限制,容易推广,又能比较灵活地调节数值耗散性,使之适用不同的间断解的要求.本文利用这种方法作了非线性水波在岸上的变形、破碎过程的数值模拟.结果表明方法稳定、有效;同时作了二维溃坝灾害的数值模拟,表明方法向多维推广的简单、可行性.

 
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