非数值计算

Through solving the Navier-Stokes equation, three dimensional transonic unsteady flow in isolated rotor blade was simulated.

本文通过数值求解Navier-Stokes方程，计算了跨音速压气机转子叶排内三维非定常粘性流动。

To be a contrast, Euler equations were solved in the same condition, and the numerical experiments demonstrated that for such strongly unsteady flows with a high Reynold number, the Euler solution is comparable to the N-S solution.

在同样计算条件下采用Euler方程进行对比性研究，数值实验发现对这类大雷诺数、强非定常性的问题，Euler方程和N-S方程得到的结果相差不大。

This thesis introduces a hybrid algorithm to model electromagnetic field in inhomogeneous medium, which combines integral equation method and finite element method.

本文介绍了联合运用积分方程法与有限元法计算三维非均匀介质中电磁场分布的理论方法，并给出了数值模拟实验结果。

Based on the experiences in Computational Fluid Dynamics, the linear equation solver takes more than 60% CPU time of the whole process, therefore acceleration of the linear equation solver is a key element in enhancing the whole performance of CFD.

研究了基于非结构化网格通用输运方程的数值求解方法，包括输运方程的离散格式，边界条件处理方法，压力速度耦合SIMPLE求解方法，详细讨论了影响界面流量计算的重要因素。

The propagation matrix method used widely in stratified media is extended to laterally inho-mogeneous media,and a numerical method known as generalized propagation matrix method for simulating elastic seismic wave propagation in inhomogeneous media is presented by using mixed variable elastic wave equation and matrix exponent solution of system of linear ordinary differential equations.

应用混合变量弹性动力学方程和线性常微分方程组的矩阵指数解法，将层状介质中广泛应用的弹性波传播矩阵解法推广至横向非均匀介质，给出了一种可计算复杂地质体中弹性波传播的广义传播矩阵数值解法。

Based on the new method, beam transmission in medium was calculated.

并通过改进后的计算方法对均匀及非均匀介质中的光传输进行了数值模拟。

After analysing the flight, cooling and undercooled solidification of multistage atomized droplets, this paper adopts Newtonial cooling, highly undercooled heterogeneous nucleation and steadystate continuous growth model to calculate and simulate numerically the thermal history of droplets and effect of main atomization process parameters during multistage atomization. The results indicated that large undercooling occur mainly during later stage of multistage atomization while recalescence and rapid quenching occur mainly during forced cooling stage.

在分析多级雾化过程雾化微滴的飞行冷却和过冷凝固特点及规律的基础上，本文采用了牛顿冷却、大过冷非均匀形核及稳态连续生长模型，对纯铝多级雾化过程中微滴热历史以及主要雾化工艺参数对其的影响作用进行了数值分析和计算，结果表明：大过冷主要是在多级雾化后期形成的，再辉和急冷则主要发生在强制冷却阶段。

The free-surface boundary conditions are satisfied on the free-moving surface exactly without any approximation or linearization. The governing equations and the boundary conditions on the time-dependent, physical domain are transformed onto a regular domain for numerical computations.

为於未知的自由液面边界上满足非线性边界条件，本模式利用座标转换，将非稳态且不规则物理区间的流场控制方程式与边界条件，映射至规则的计算区间，以进行数值解析。

The major implementations of the developed model include: Pseudo-spectral and finite-difference schemes are employed to approximate the spatial-differential operators in the horizontal and vertical directions, respectively. A second-order Runge-Kutta method is adopted to integrate in time for the velocity field and the free-surface elevation. The solenoidal condition of the velocity field is satisfied by solving the transformed pressure Poisson equation. A modified secant method is used to accelerate the iterative solution of the non-separable Poisson equation.

模式的主要数值方法包括：分别以拟频谱法以及二阶有限差分法近似控制方程与边界条件中的水平与垂直导数；以二阶Runge-Kutta法进行非稳态的自由液面位移与流场速度的时间积分；利用改良式割线叠代法求解计算区间中不可分离的压力Poisson方程式，以满足不可压缩流条件。

A coupled-unstable-equation-system of the heat, moisture and air transfer of the third boundary condition in the building walls with one dimension were developed, and software was developed using numerical simulation.

为了研究建筑墙体的热质耦合传递规律，该文考虑了太阳辐射的影响，建立了在第三类边界条件下建筑墙体非稳态热、湿及空气渗透耦合传递的物理及数学模型，开发了相应的数值模拟计算软件。

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。