查询词典 derived equation

For the low-frequency waves, a dispersion relation is derived from the set of continuity,momentum, and energy equation, together with Poisson equation.

其中受阻尼的静电尘埃回旋波是本文首次发现的。三支模的阻尼都是由尘粒和中性气体碰撞引起的。

Mainly, we deriver time-accurate wavelet-based schemes for convection equation ,furthermore, we use it for numerical solution of convection equation and make a comparison with exact solution and solution derived from WGM.

主要的，对于对流方程，推导出了时间精度高的基于正交小波基的小波泰勒伽略金格式，进一步用这个格式计算了对流方程的数值解，并和WGM格式得到的数值解以及精确解作了比较，从而验证了格式的正确性。

Here the deriver' self-equilibrium velocity denotes the deriver' desired equilibrium velocity accompanying that the traffic flow is in the equilibrium state. Consequently the adaptive flux model like Navier-stokes traffic equation is derived from the extended Paveri-Fontana equation. Characteristics and the linear stability are analyzed. Numerical solution of the macroscopic traffic equations verifies rationality of our model.

把适应性公式和约化Paveri-Fontana等式结合得到扩展的Paveri-Fontana方程，通过使用Chapman – Enskog方法导出类Naveri-Stokes 方程的适应性交通流模型；通过线性稳定性分析，得到了适应性交通流模型的稳定条件；通过对算例的数值分析与其它连续性模型和交通实测数据的对比，验证了我们模型的合理性。

The dynamic model of flexible multibody system is derived by first kind of Lagrange equation and also the constraint equations for velocity are obtained, the final expression of the dynamic equation is hybrid one of algebra and differential.

首先利用第一类Lagrange方程建立了多柔体系统的动力学模型，并建立了速度意义下的约束方程，方程的最终表现形式为微分／代数混合方程组。

With the increasing development of science and technology, There are many problems relating to differential equation derived form lots of practi- cal applications, such as whether differential equation has a oscillating solution or not, and whether all of its solutions are oscillatory or not.

随着自然科学和生产技术的不断发展，在许多应用问题中均出现了微分方程是否有振动解存在或者微分方程的一切解是否均为振动解的问题。

To investigate the mechanism of the origination of combustion noise, a three dimensional wave equation is derived by using the control equation set of KIVA for deduction.

由于这些振荡受到很多因素影响，其复杂性导致了对燃烧过程中的噪声至今仍未有一个实时计算的手段。

The equation of continuity is then used to further get a 2-order elliptical equation satisfied by sea surface elevation, and the unpenetrable condition at the shore wall of semi-closed sea area is also derived by means of tidal level.

然后利用连续性方程进一步得到了海面升高即潮位所满足的二阶椭圆型方程，进而导出了以潮位形式给出的半封闭海区岸壁不可穿透条件。

Firstly,the differential equation with parameters is given,at the same time,in order to let the truncation error of differential equation reach O(Δt~2+Δx~4) as high as possible,the method of undetermined coefficent is used to appropriately select the expression of these parameters.Secondly,the stability condition of the scheme derived is given by using the Fourier method of stability analysi...

首先给出了含参变量的差分方程，并用待定系数法适当地选取了这些参数的表示式，以使差分方程的截断误差阶尽可能高地达到了O(Δt2+Δx4)；其次用稳定性分析的Fourier方法给出了所得格式的稳定性条件；然后给出了确定差分格式中参数的两种方法，得到了一个稳定性条件为r/3的分支稳定的高精度显式差分格式；最后给出了数值例子，数值结果表明了本文格式较现有同类格式的优越性和理论分析的正确性。

Second order incident boundary condition on fixed incident boundary is derived for numerical simulations, based on the cnoidal or sinusoidal motions of wave maker paddle, which shows that the prediction with second order incident boundary condition is more accurate than the prediction with first order incident boundary condition. 2 The analytical solution for higher-order Boussinesq equations is derived and its applicable range is discussed. 3 A 2-D fully non-linear numerical model using boundary element method is developed to obtain wave forces acting on rectangular obstacle. 4 The three-dimensional fully non-linear waves are studied in a numerical wave tank using finite element method.The studies on the coupled numerical model combined Boussinesq equations with Laplace equation are following.

非耦合非线性波浪计算模型：1 根据造波板做椭圆余弦运动或正弦运动速度，推导出数值模拟波浪水槽时固定入射边界上的二阶波浪入射边界条件，数值计算结果和实验结果的对比表明采用二阶入射边界条件对波面升高的预报比采用一阶入射边界条件对波面升高的预报更为精确；2 推导了波浪水槽造波板做正弦运动所产生波浪的高阶Boussinesq方程摄动展开解析解，讨论了该解析解的适用范围；3 对整个波浪水槽应用边界元方法数值模拟了波浪对物体的非线性作用；4 用有限元法求解三维Laplace方程模拟了三维完全非线性波浪水槽。

First, the physical models associated with dislocations and cracks are respectively converted to mixed boundary value problems in mathematics. Secondly, by using the Fourier transform, a dual integral equation for a crack and an algebraic equation for a dislocation can be derived from the boundary conditions relating with a crack and a dislocation, respectively. Solving these equations, exact analytical solutions can be obtained in terms of Bessel functions in close-form.

先把位错和裂纹的物理模型写成与它们相关的边值问题，然后，利用Fourier变换将这些边值问题化成一个对偶积分方程(对位错而言，得到一个代数方程)，求解此对偶积分方程，可以获得以Bessel函数给出的封闭形式的分析解。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。