数值方程

A basic method of wave_number in three dimensions（MWN3D） is employed to solve the thermal conductive equation in this paper. Meantime, we take some numerical experiments to discuss the reliability and adaptability of this method.

给出了三维热导方程波数域的基本解和算法（MWN3D），并通过数值模型的方式验证、讨论了这一方法的可靠性和适应能力。

In this paper,the Newtonian fluid model was used to describe rheological property of the produced fluid,and motion equation of unsteady flow of Newtonian fluid in eccentric annulus with the inner cylinder reciprocating axially was transformed by means of the method of undetermined coefficients.

采用Newton流体模式描述油井产出液的流变性，利用待定系数法变换Newton流体在内管做轴向往复运动的偏心环空中非定常流的运动方程，建立给定流量下Newton流体在内管做轴向往复运动的偏心环空中非定常流的压力梯度计算公式，并利用有限体积法对压力梯度进行数值计算。

In this paper, the dimensionless form of convection-dispersion equation in miscible displacements is deduced.

给出了混相驱对流-弥散方程的无量纲形式；采用高阶精度差分格式对其进行数值求解并应用于几个具体算例中。

Fluent software was used as a calculaˉ tion platform, and its UDF compiler was used to inject mass, mome ntum and energy of ignition gas and propellant gas into chamber. Combining with kˉε twoˉequation turbulence model and Pˉl radiation model, the 3ˉD nume rical simulation of ignition transient process of some solid rocket motor with st arˉshaped charge and a cove was conducted.

文中以Fluent软件为计算平台，采用UDF编译来实现点火燃气和推进剂燃气的质量、动量、能量向燃烧室的注入，结合 kε两方程湍流模型、 P l 辐射模型对某有堵盖的星形装药固体火箭发动机的点火瞬态过程进行三维数值计算。

The basic equations of centrifugal pump on steady and unsteady process were educed based on theory of momentum and moment in order to analyze the transient hydrodynamic performance of centrifugal pump.

为了对离心泵快速开启过程的瞬态效应进行分析，根据动量矩定理分别推导转速稳定和不稳定时的离心式水泵基本方程式，给出了叶轮旋转加速和流体加速对性能影响的数学描述方程，为进一步理论分析和数值计算打下基础，并结合一台快速启动的混流泵进行实例分析。

The basic equations of centrifugal pump on steady and unsteady process were educed based on theory of momentum and moment in order to analyze the transient hydrodynamic performance of centrifugal pump. The equations were used to describe the influence of accelerating rotation of impeller and accelerating motion of fluid on hydrodynamic performance.

为了对离心泵快速开启过程的瞬态效应进行分析，根据动量矩定理分别推导转速稳定和不稳定时的离心式水泵基本方程式，给出了叶轮旋转加速和流体加速对性能影响的数学描述方程，为进一步理论分析和数值计算打下基础，并结合一台快速启动的混流泵进行实例分析。

A new flux expansion nodal method was developed to solve three-dimensional multigroup neutron diffusion equations in hexagonal-z geometry. The method expands the intranodal homogeneous flux distributions in analytic basis functions for each energy group.

提出了一种在三维六角形几何节块内数值求解多群中子扩散方程的节块法，该方法把节块内各群中子通量分布用解析基函数近似展开。

Numerical migration for typical models show that, in contrast to ray method, prestack wave motion migration can correctly image inhomogeneous media, and suppress multiple reflection wave effectively.

典型的介质模型数值分析表明，与射线方法相比，接收函数的波动方程叠前偏移能对横向非均匀介质准确成像，不仅有较高的分辨率，而且对多次波有较明显的压制作用。

It is proved that if the RungeKutta method and the linear multistep method are of order p, then the numerical Hopf bifurcation value is an approximation to the Hopf bifurcation value of the equation itself of the same order p.

证明了如果Runge-Kutta方法和线性多步法是p阶的，那么数值Hopf分支值以相同的阶数p逼近于方程本身的Hopf分支值。

Stokes problems of irregular domain which can not be calculated by the natural boundary integral method are resolved.

更多用自然边界积分法探讨了内边界压力之和为零的圆外区域Stokes方程的速度-压力混合问题，并与数值模拟结果作了比较。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新