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It is usually that the solution for the Dirichlet problem can not be obtained actually. With the development of computers, people pay more and more attention to the numerical solution. Many ideas and methods have appeared. Among them the finite element method has become most popular. But the finite element method has some weaknesses and limitations too. First, it is not fit to higher-dimensional problems.

绝大多数Dirichlet问题的解析解往往难以得到,随着计算机技术的发展,Dirichlet问题的数值解法越来越受到人们的重视,新的思想和方法不断涌现,其中有限元法已经发展成为目前求解Dirichlet问题的最主要的数值方法,但是有限元法解决该问题时,存在着一些弱点和局限。

It is usually that the solution for the Dirichlet problem can not be obtained actually. With the development of computers, people pay more and more attention to the numerical solution. Many ideas and methods have appeared. Among them the finite element method has become most popular. But the finite element method has some weaknesses and limitations too.

绝大多数Dirichlet问题的解析解往往难以得到,随着计算机技术的发展,Dirichlet问题的数值解法越来越受到人们的重视,新的思想和方法不断涌现,其中有限元法已经发展成为目前求解Dirichlet问题的最主要的数值方法,但是有限元法解决该问题时,存在着一些弱点和局限。

In this paper,a numerical well test method is presented to study the inter-well interference effect on the well test curve,which used PEBI grid and gave the discrete control equations of oil-water-phase flow .

本文用数值试井方法研究了井间干扰对试井曲线的影响,采用PEB I网格技术,给出了在PEB I网格下油水两相流动控制方程的离散形式,并耦合了井筒存储和表皮系数公式,得到了压力降落数值试井问题的产量模型。

This paper introduces the food refrigerated theory and the basis of the current industry refrigerated developments in the situation; And then in the long cylindrical-shaped food heat conduction process and the mathematical model using the method of differential thermal conduction equations for discrete, Programming come through long cylindrical-shaped food cooling process numerical solution; After further analysis of numerical solution of the test results; Finally, the impact of the cooling process food all relevant factors, such as moisture content, wind speed and temperature of the cooling medium for in-depth research, while comparing the different shapes of food to food cooling process.

本文首先介绍了有关食品冷冻冷藏的基础理论和目前冷冻冷藏行业的发展的发展概况;然后研究了长圆柱状食品热传导过程的数学模型并利用差分的方法对热传导方程进行离散,通过编程得出长圆柱状食品冷却过程的数值解;之后再分析解对数值解的结果进行验证;最后对影响食品冷却过程的各相关因素,如含水率、风速和冷却介质温度等进行了深入的研究,同时又对比了不同形状的食品对食品冷却过程的影响。

In this paper, we propose an algorithm for finding global minimization by discrete mean value-level set, the convergence of this algorithm is proved, a termination rule and some numerical examples are given.

西文提出了一个只需计算函数值的离散均值—水平集求全局最优的方法,给出了算法的终止准则,证明了算法的收敛性,并给出了某些数值例子。

Fourth precision solution can be derived from two grid sets solution with a second precision central difference scheme by Richardson extrapolation. It reduces the amount of calculation. Uncertainty is determined from the discretization error analysis. A finer grid calculation is made to validate the extrapolation scheme.

对于2阶精度中心差分格式的2套网格数值解,用Richardson外推法可以得到4阶精度的解,其工作量比直接求解4阶离散方程的工作量减少许多;对于计算中的数值不确定度,用该方法分析了离散误差,并用逐次加密网格的方法探讨了外推法的合理性。

Research on the flux boundary conditions in the numerical simulation of line-heating process With the development of computer technique in recent years, the numerical simulation method has been applied more and more widely for the research of distortional mechanism and regulation in line-heating process.

1水火弯板数值模拟中热边界条件的研究近几年随着计算机技术的发展,数值模拟法在对水火弯板变形机理和变形规律的研究中得到了越来越广泛的应用。

Polynomial fitting was used to map out the pressure distribution curve of numerica...

与通过试验数据计算出的结果相比,数值模拟计算出来的轴向力相对误差在9%以内,而经验公式计算的轴向力相对误差为14%,采用数值模拟方法计算轴向力具有更高的精度,对多级离心泵轴向力平衡的研究具有指导意义。

It is obtained from the numerical simulation that the flow field distribution rule is in accordance with the known hydrocyclone flow field rule completely.

数值计算与室内模拟试验的分离效率进行了对比,结果表明用数值模拟的方法进行流场研究是可靠的。

The numerical study is carried out for a KVLCC2 tanker. Firstly, for the ship in oblique motion in deep water, determination of the computational domain, check of the grid dependence and selection of the turbulence model in numerical simulation are investigated. The effectivity of the numerical method is validated by comparing the numerical results with experimental data published in literature and the experimental results obtained by oblique towing test in the towing tank of Shanghai Jiao Tong University.

以KVLCC2大型油轮为研究对象,首先对船舶深水斜航运动粘性流计算中计算区域的确定、网格依赖性的检验以及湍流模型的选取等问题进行研究,通过将本文数值计算结果与他人的试验结果和在上海交通大学拖曳水池进行的船模斜拖试验结果相比较,验证了本文数值方法的有效性。

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