求解程序

The time-dependent Dirichlet boundary condition was used to describe the variation of water head during water level fluctuation.

模型的求解采用效率较高的积分有限差分法进行空间离散，并编制了全隐式联立求解的计算程序，通过变换主要变量，实现了饱和与非饱和的相互转变，采用随时间变化的Dirichlet边界条件精确模拟水位波动时的变水头边界条件。

Next, we developed direct calculation solvers and flamelet solvers based on OpenFOAM and used them to study and analyzed exactness and limitations of flamelet model in multi-dimensional CFD.

此后，基于OpenFOAM程序开发出多维流场中燃烧问题的直接求解器和火焰面模型求解器，分析了火焰面模型在多维燃烧CFD中的准确性和局限性。

In the computation of aerodynamic forces, the present work is based on the work of Morino et al., but the following aspects are improved:(1) In computing the steady transonic aerodynamic load, the steady transonic nonlinear integral equation is solved by relaxation-iteration method in this thesis, instead of solving the time dependent transonic nonlinear integral equation, so that the computing time is saved greatly;(2) The influence coeifficients represented by volume integral are transformed to surface integral by using the Gaussian Theorem, so the analytical form of these coeifficients can be obtained and this leads to be more convenient to analyse and compile computer program;(3) The shock capturing method is used in every time step in present work, no shock moving term is added in the integral equation, so that it is more convenient and simpler to treat.

在气动力计算方面，本文基于Morino等人的工作，作了如下几方面的改进：（1）在计算定常跨音速流场（作为非定常绕流计算的初场）时，本文采用松驰迭代法直接求解跨音速定常非线性积分方程，而不是采用时间相关法求解非定常非线性积分方程，这样大大节省了计算机时；（2）将以体积分形式出现的影响系数化为面积分，并获得解析公式，这样便于分析和编写程序；（3）对运动的激波，本文通过在每一个时间步长上采用激波捕捉法而得到，而不是在积分方程中附加激波运动项，因而处理起来简单方便得多。

At first, the governing differential equations are solved by Fourier transform, then, under consideration of the mixed boundary value condition, a pair of dual integral equations about the vertical vibration are listed which are converted to linear algebra equations by the Jacobi orthogonal polynomial and solved by numerical procedures. Consequently, the dynamic compliance coefficient Cv versus the dimensionless frequency is derived, and the program is compiled.

首先，采用Fourier积分变换解析求解了Biot方程，得到了该动力控制方程在Fourier变换域上的一组通解，然后由混合边值条件建立了地基上基础竖向振动的对偶积分方程，并应用Jacobi正交多项式将其转化为一组线性代数方程组，通过求解得到了不同无量纲频率下基础振动的动力柔度系数Cv，编制了相应的计算程序。

Based on concept and sort of magic square,a sort of current resolution arithmetic of magic square is put forward,and implemented using C++ program language.It resolves the problem that traditional method can not figure out even magic square.

在给出魔方阵的概念及分类的基础上，提出一种通用n阶魔方阵的求解算法，并用C++程序语言实现，解决了传统偶数阶魔方阵求解的一个难题。

In order to evaluate the PREE (Population, Resource, Environment, and Economy) development environment of Yinchuan city, based on the statistics data from Yinchuan Yearbook and the situation of "the eleventh five-year plan" of Yinchuan, choosing different multi-goal preferential factors, the paper established the PREE harmonious development nonlinear multi-goal planning model of Yinchuan city. In this paper, the pattern search method was used to solve PREE nonlinear multi-goal programming, the algorithm and the accomplishment of the Matlab procedure was given.

为评价银川市的经济、人口、资源和环境，根据《银川市统计年鉴》中的数据及银川市"十一五"规划情况，选取不同的多目标优先因子，建立了银川市人口、资源、环境和经济协调发展的非线性多目标模型，介绍了模式搜索法在求解银川市PREE非线性多目标模型的实际应用，给出了求解银川市PREE模型的算法和Matlab程序的具体实现。

This article summarizes the advantages of direct optimized law in working out inequality constraints, and proposes the way to carry on the simulation with the regular polyhedron law to the standard unitary flood noose curve.

简述了直接优化法求解不等式约束问题的优越性，提出了用正多面体法对标准单式洪水绳套曲线进行模拟的思路及程序求解方法，分析了正多面体法模拟标准单式洪水绳套曲线的可行性，为进一步利用水位推求流量创造了条件。

A set of theoretical models based on the EHDL problem of self-acting foil bearing are solved by a program with finite element method, and the calculation results of static performance are discussed.

本文采用基于弹性流体润滑问题的理论模型的有限元方法程序对弹性支承箔片动压气体止推轴承进行了求解，并就轴承结构参数、位置参数及运转参数对轴承稳态性能的影响进行了求解。

Furthermore,the stability behavior and accuracy characteristics of the algorithmare proven by a spectral decomposition method.

在前人工作的基础上，提出了一种新的用于解决结构动力分析问题的时间积分方法——Taylor级数方法；建立了求解线性问题和非线性项可以表示为多元多项式形式的非线性问题的Taylor级数方法的理论，并给出递归求解通式；阐述了该方法的程序实施过程，给出了计算流程图，并在非线性有限元分析平台NFAP中嵌入了Taylor级数方法的计算模块；利用谱分解的方法分析了该方法的稳定性和精度特性，以封闭的解析形式给出了描述积分法特性的周期延长率和振幅衰减率的表达式；通过对该方法的理论分析和特性研究，阐述了该方法的可行性和高效性。

What's more, using edited computer program based on symbolic method, we can get the value of Riccati equation (which is the key to solving the optimal control law).

通过编制的计算机应用程序，运用符号法对Riccati方程(求解最优控制律的核心方程)进行了数值求解。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。