数值方程

Numerical simulation of micropolar fluids elastic lubrication with mixed friction in mechanical seal;2. The basic line contact elasto-hydrodynamic lubrication equations for micropolar fluids were developed on the basis of the theory of micropolar fluids.

应用微极流体理论，考虑流体的可压缩性，建立线接触微极流体动力润滑的基本方程，进行固液两相流体稳态流动弹流润滑数值分析，获得了润滑油膜压力、形状以及摩擦力分布，分析了微极参数对润滑性能的影响，并与不可压缩流体结果进行比较。

Considering the general nonlinear Boltzmann equation,a uniform algorithm has been developed to simulate rarified flow s at a wide Knudsen number range numerically.

从一般非线性Bo ltzm ann方程出发，发展并实现了一套适于大范围K nudsen数稀薄流问题数值模拟的统一算法。

Solving the equation numerically can obtain the bifurcating value curves.

通过对方程的数值求解，得到了相应的分岔值曲线。

It is shown that the direction of bifurcation and the stability of the bifurcating periodic solutions of the Euler methods are the same as the direction of bifurcation and the stability of the bifurcating periodic solutions of the original delay differential equation when the stepsize is small enough.

证明当步长充分小时数值Hopf分支的分支方向、分支周期解的稳定性与原方程的Hopf分支的分支方向、分支周期解的稳定性相同。

The slipstream boundary conditions are imposed at the surface swept by prop to avoid the mass calculation of simulating the prop circumrotating with high velocity. The aerodynamics of aircraft can be simulated numerically by solving Euler equations exactly and efficiently.

为了解决精确模拟螺旋桨高速旋转带来的计算量大的问题，本文在螺旋桨旋转平面建立滑流边界条件，利用Euler方程可以准确高效的对全机气动力进行数值模拟。

Parabolized stability equations were used to study the evolution of disturbances in compressible boundary layers.

用抛物化稳定性方程，研究了可压缩边界层中扰动的演化，并与由直接数值模拟所得进行比较。

The theory, equations and numerical method of parabolized proliferation of fluid movement Wang Ruquan as a main participant, 1997

流体运动的扩散抛物化理论、方程和数值方法（主要参加者王汝权，1997

With that point in mind we review here some advances in the classical boundary layer, multilayer boundary layer, interacting boundary layer and diffusion parabolized NS equations theories and corresponding algorithms and applications.

以此为线索，简要评述经典边界层、多层边界层、干扰边界层、扩散抛物化 NS方程诸理论、相应算法和应用的若干研究进展；诸理论之间以及他们与实验的关系；简化湍流计算的一点注释以及物理分析和数值模拟相结合的一些问题。

This made it possible for the forward problems in inverse problems to be solved by analytical method instead of numerical method. The new equivalent source method is over ten times rapider than the volumetric integral equation method.

这一方法使得电磁场正问题的求解由一般的数值方法计算改进为用解析法求解，使缺陷的重构速度比用体积分方程法提高十倍以上。

Based on the theory of two-phase fluids dynamics, the general governing equation is established, which is applied to the fields of seepage, consolidation and deposit. For the first time, the mechanics properties of the soil affected by seepage are studied by the means of experiment. The problems of the modified indexes of mechanics and constitutive relation are solved due to the formulations obtained of mechanics parameter under seepage condition. Applied fuzzy theory and modern project design method, the fuzzy probability model for stability analysis is stetted up; Considered variation of mechanics parameter and curtain effect, the deformation patterns of deep execution are systematically analyzed.

基于两相流理论，推导了适用于渗流、固结和沉积的统一形式的控制方程；试验研究了渗流作用下土的力学性质的变化规律，经综合分析得到力学指标的定量表达式，为工程设计和数值计算中力学参数的确定提供了参考；基于模糊理论和现代工程设计方法，建立了基坑失稳的模糊概率模型，为基坑稳定性预测提供了新的方法；对基坑变形规律作了系统分析，考虑了土性变化和帷幕防渗效果对支护结构变形的影响，得到了较满意的结果。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。