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    A TVD SCHEME WITH LESS NUMERICAL DISSIPATION
    一种具有较小数值耗散的对称TVD格式
    Numerical Dissipativity of Two-stage θ-method for Delay Differential Equations
    滞时微分方程二级θ-方法的数值耗散性(英文)
    Numerical dissipativity of two-stage LobattoⅢ-C method for linear delay differential equations with variable coefficients
    二级LobattoⅢ-C方法求解变系数线性滞时微分方程的数值耗散性(英文)
    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.
    It contains① Numerical dissipativity of Runge-Kutta methods for linear delay differential equations with variable coefficients.
    ①Runge-Kutta方法求解变系数线性滞时微分动力系统的数值耗散性。
    ② Numerical dissipativity of Runge-Kutta methods for nonlinear nonautonomous delay differential equations with variable coefficients.
    ②Runge-Kutta方法求解非线性非自治滞时微分动力系统的数值耗散性。
    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 .
    Numerical dissipation and dispersion of Hybrid Finite Analytic Method
    混合有限分析格式的数值耗散及频散
    The operator-splitting algorithm and the Ultimate Quickest scheme have been used to solve the sediment transport equation.
    悬沙输运方程采用破开算子的方法求解,平流项采用Ultimate Quickest格式求解,即保证了数值格式的守恒性,又消除了数值耗散。 以上措施提高了计算的精度。
    One of the main features of this model is that it can “close” the magnetic reconnection on the magnetopause by a method of dealing with IMF and the dipole magnetic field separately. By introducing the anti-parallel theory, this method can show the possible reconnection sites on the magnetopause distinctly like the gas dynamic model.
    本模型一个突出的特点是地磁场和IMF(Interplanetary Magnetic Field)可分开处理,从而可用简单的方法控制磁层顶磁重联是否发生(不受数值耗散的影响)。
    MILES approach that replaced subgrid scale model by the intrinsic dissipation of preserving monotone schemes was accepted in the paper. Then, the possibility applied to LES of adapted schemes such as Harten-TVD scheme and MUSCL-TVD scheme was researched.
    本文采用MILES方法,认为保单调格式的数值耗散可以取代亚格子耗散,研究了Harten-TVD与MUSCL-TVD格式应用于LES的可能性。
    The QBC difference scheme is successfully used in the advection part, which saves the calculation period and avoids the numerical dissipation and oscillation.
    成功地将QBC 差分格式应用于大涡模拟对流项中,既即缩短了计算时间,亦可消除数值耗散和振荡。
    In the material transportation equation computing temperature, salinity and suspended sediment, the interpolation method is modified to improve the computing precision of the horizontal diffusion term and to decrease the numerical dissipation and instability occurring in the computation so that it can be applied to the case of more intensive bottom slope.
    在温、盐和悬沙计算的物质输运方程中,改进了插值方法,提高了水平扩散项的计算精度,减少了数值计算中产生的数值耗散和数值振荡,并可应用到坡度变化较剧烈情况。
    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。
    The comparison between Batina's centeral gridless method and the implicit gridless method with upwind scheme show that the latter has the following advantages: fast speed of convergence, small numerical dissipation, better ability to catch shock, good geometrical flexibility and a wide applied range of Ma number.
    将发展的迎风型隐式无网格算法与Batina的中心型无网格算法进行了对比计算,结果表明:基于AUSM~+-up格式的隐式无网格算法具有收敛速度快、数值耗散小、激波捕捉能力强、几何灵活性好、应用马赫数范围广的优点。
    The numerical scheme of the advection term should be designed correctly for the fronts of sharp concentration gradients to prevent excessive numerical diffusion or dispersion when calculating mass transport in the areas of estuary and coast.
    用数值模式对河口海岸地区的物质输运进行计算时,平流项的数值格式必须要能正确处理物质浓度锋面,以避免产生过多的数值耗散或频散。
    Without repeated interpolations such as in ELM, the Particle-tracing Method reduces the numerical diffusion quite a lot.
    因为没有像欧拉-拉格朗日方法那样反复插值,所以质点跟踪法极大地降低了数值耗散
    It contains1 numerical dissipativity of linear θ-method and multistep methods,2 regularity of linear multistep methods, and3 stability of spurious period two solution of linear θ-method.
    主要内容包括:1线性θ-方法和多步法的数值耗散性,2线性多步法的正则性,3线性θ-方法的伪周期二解的稳定性。
    The final results show that the first five methods will lead to surface distortion indifferent degree because of the numerical dispersion and dissipation, while the lastone, i.e. the Particle Level Set method can avoid these problems through using ofmassless particles located in the vicinity of the surface because of their Lagrangeproperty.
    最终的计算结果显示,前面五种方法在追踪自由表面的过程中都会由于数值计算误差过大,产生不同程度的界面失真。 而粒子Level Set法由于在自由界面附近采用了具有拉格朗日性质(lagrange property)的无质量粒子,因此对减小一般Level Set法在计算过程中产生的数值耗散和色散误差有显著作用,即使在锐变边界也能十分精确地追踪运动界面的形状。
    The comparison between grid method and the implicit gridless method with upwind scheme shows that the latter has the following advantages: fast speed of convergence, small numerical dissipation, superior ability to catch shock, advantageous geometrical flexibility and a wide applied range of Mach number.
    将发展的迎风型隐式无网格算法与网格算法和显式无网格算法进行了对比计算,结果表明:基于AUSM+up格式的隐式无网格算法具有收敛速度快、数值耗散小、激波捕捉能力强、几何灵活性好、应用马赫数范围广的优点。
 

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