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数值耗散
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  numerical dissipation
     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
     To solve numerical dissipation and dispersion in numerical solution of convection-diffuson equation, a numerical procedure for simulating the convection-diffusion movement has been developed. The procedure is based on a governing equation which can be divided into Euler type convection equation and Lagrange type diffusion equation.
     为解决对流—扩散型方程数值解中出现的数值耗散和数值弥散,本文通过质点导数概念,将物理方程分解为Euler形式下的对流型方程和Lagrange形式下的扩散型方程,采用特征线法和区域离散数值方法分别求解,二者合成即为对流一扩散运动的整体数值模拟过程。
短句来源
     In order to reduce effectively the numerical dissipation of the rotor wake vorticity induced by Jameson's second-order cell-centered finite volume approach,with the combination of the third-order upwind scheme (MUSCL) and flux-difference splitting scheme,a numerical method based upon the solution of three-dimensional Reynolds-average N-S equations has been developed to simulate the flowfield around a lifting rotor in hovering.
     为减少Jameson二阶中心差分有限体积法导致的旋翼尾迹的数值耗散,将三阶逆风格式(MUSCL)与通量差分裂方法相结合,建立了一个三维雷诺平均N-S方程数值模拟悬停状态旋翼流场的方法。
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
     In order to reduce the false numerical dissipation of the rotor wake vorticity, a new hybrid method based on the Navier-Stokes/Free-Wake/Full-Potential solver has been developed for the efficient prediction of the rotor flowfield.
     为了减少旋翼尾迹的数值耗散,建立了一个基于Navier-Stokes方程/自由尾迹分析/全位势方程的旋翼流场求解的新的混合方法。
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  numerical damping
     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.
     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。
短句来源
     An expression for the numerical damping and dispersion of panel method calculating ship wave-making problem is derived from Fourier analysis, It can be used to analyse not only the order of magnitude of er-rors concerned and their coupling effects in calculating ship wavemaking problem but also the errors in calculating other steady free-surface flows by panel method in principle.
     本文利用Fourier分析导出了船舶兴波问题面元法计算中的数值耗散及数值色散误差表达式. 该公式不仅可用于从量级上分析船波问题计算的有关误差及其耦合影响,原则上亦可用于其它具有自由表面的稳态流动问题面元法计算的误差分析.
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  “数值耗散”译为未确定词的双语例句
     The level set interface capturing method uses a narrow band Ghost-Fluid-Method(GFM), as well as Weighted-ENO scheme to compute Euler fluid motion equations and Hamilton-Jacobi level-set evolution equation.
     Level Set界面捕捉方法应用无数值耗散的Ghost Fluid Method ,并用WENO格式求解Euler运动方程和Level Set演化方程 .
短句来源
     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
     The SOUCUP scheme of Zhu and Rodi is used to decrease thenumerical dispersion.
     为了减少数值耗散,在能量方程求解中采用了Zhu和Rodi提出的SOUCUP格式。
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
     To improve the accuracy in the simulation of rotor flowfield and noise in the CFD/Kirchhoff method,a combination of the third-order upwind scheme(MUSCL) and flux-difference splitting scheme,instead of the second-order center-difference scheme which may cause larger wake dissipation,is employed and a N-S solver based upon embedded grids is developed.
     将三阶迎风格式(MUSCL)与通量差分裂方法相结合,以改进二阶中心差分格式导致较大尾迹数值耗散的不足,建立了基于N-S方程和嵌套网格技术的旋翼流场求解方法,提高了CFD/Kirchhoff方法中流场信息计算的准确性.
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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.
      
更多          
  numerical damping
This formulation is well known, but the resulting time-stepping BEM procedure produces instabilities and high numerical damping, when the time step size is chosen too small and too large, respectively.
      
A new method is described for introducing numerical damping.
      
As the linear θ method presents more numerical damping than the standard approach, special attention is required when either θ or the time step length is large.
      
Although little numerical damping will be introduced by the new method, the stability is greatly improved and the computer time is nearly the same.
      
The precise integration and differential quadrature methods are shown inapplicable for such shock-excited problems due to the absence of numerical damping.
      
更多          


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。

Cubic spline method was used to solve numerical model for radio-nuclide transport from injection well into a single fracture in a porous formation, and the results were compared with those of finite difference scheme. It is shown that cubic spline method is effective for restraining numerical dispersion in numerical simulation of hydrodynamic dispersion equations with radioactive decay.

本文采用三次样条方法计算了放射性核素从注入井中向多孔岩层裂缝中传输的数值解,并与有限差分解、解析解作了比较。结果表明,三次样条方法在带有放射性衰变的水动力弥散方程的数值计算中,对抑制数值耗散是一种有效的方法。

 
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