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非数值计算

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Because the derivation of the extended system has a block lower triangular form, the method of splitting iteration is applied to compute simple bifurcation point, not only computational work is reduced, but also local quadratic convergence is achieved.

由于所构造的扩充系统的导数具有分块下三角形式,采用分块迭代的方法进行数值求解,不仅减少了计算量,而且是二次收敛的,从而为Navier-Stokes方程非退化简单分歧点的数值逼近提供了有效的算法。

The proposed method has the merit that the numerical characteristics of stochastic temperature field response can be obtained by analyzing the random temperature field just in one time.3. Perturbed numerical algorithm of nonprobabilistic convex set theoretical models on the temperature fieldThe uncertain parameters of physical parameters and initial boundary conditions of heat conduction are described by the convex model. The perturbation formulas of the upper and lower bounds of temperature field response with unknown-but-bounded parameters are given via the combination of matrix perturbation theory and the convex set theory model.4. Numerical analysis for transient temperature field with interval parametersConsidering the uncertainties of the transient heat transfer, the physical parameters and initial boundary conditions are regarded as interval variables.

该方法具有只进行一次随机温度场分析便可以获得其响应的数字特征的优点。3、温度场的非概率凸集合理论模型的摄动数值解法将结构导热的物理参数、温度场的初始和边界条件等不确定性参数以凸模型加以描述,基于矩阵摄动理论和处理不确定问题的凸集合理论模型的结合,导出有界不确定参数瞬态温度场响应所在集合的上、下界摄动计算公式。4、具有区间参数的瞬态温度场数值分析考虑结构瞬态热传导问题的不确定性,将结构各物理参数和温度的初、边值条件均视为区间变量。

Based on the near wall denseness model radial fitted-body nonuniform grid system ,The mesh figures of physical plane have be...

在径向适体非均匀近壁密集型网格系统等计算条件下进行了数值实验,给出了计算流场网格生成图。

Based on theoretical study and test, by using finite element numerical method, the force and deformation of casing with cement sheath under nonuniform load is analyzed, and the effect of two sensentive parameters, the nonuniform load ratio and ellipticity, on the failure of casing is discussed.

在已有的理论研究与试验工作的基础上,采用有限元数值方法,分析计算了受非均匀地应力作用下套管-水泥环结构的受力与变形,讨论了两个敏感参数——非均匀载荷比和套管椭圆度对套管失效的影响问题。

The nonsingular integrals are popularly calculated by the Gauss numerical integral, and they are low in precision when the source points approach the element, and the singular integrals are complex.

非奇异积分一般采用数值积分,当配置点接近积分单元时,计算精度较低,奇异积分的计算也很复杂。

In the two-dimensional simulation, the fully implicit difference scheme is used for the continuity equations to ensure numerical stability; Jacobian iteration is used to solve the difference equations, and only nonzero elements in the coefficient matrixes of these equations are dealt with, which reduce the requirement for memory and shorten the calculation time.

在两维模拟计算中,对连续性方程采用全隐式差分方案以保证数值稳定性;运用雅可比迭代法求解差分方程组,并且在求解过程中,只对差分方程组系数矩阵中的非零元素进行处理,因此减少了对内存的需求量,而且缩短了计算时间。

Using Hankel digital filter algorithm and inverse spine interpolation algorithm to simulate electromagnetic fields of the horizontal layers , we contrast the calculational Cagniard apparent resistivity with its results and field experimentation.

利用汉克尔数值滤波算法和逆样条插值算法对水平层状电磁场进行正演计算,并与计算的卡尼亚视电阻率的对比和野外试验结果表明:该方法的结果在远区等价卡尼亚电阻率,在近区和过渡带则明显地改善了卡尼亚电阻率的非波场区场畸变,从而能更好地接近基底的真电阻率,更形象地反映了地下介质的垂向电性变化。

The results of numerical experiments, using the four-dimensional variational data assimilation system of the nonhydrostatic mesoscale model MM5, show that: the tangent linear model and adjoint model conducted by keeping the "on-off" switches the same as the basic state, can provide a good approximation of the first-order information to the NLM perturbation and a good descent direction for the minimization procedure; switching on and off at every other time step in the Kuo cumulus parameterization scheme don"t impact the convergence rate of cost function; the existence of the switches don"t impact improvement to the MM5 model rainfall prediction because that not only specific humidity ,but also wind, temperature and pressure are assimilated into the model.

非静力中尺度数值模式MM5的四维变分资料同化系统进行的数值试验结果表明:"开关"变量保持与基态一致,所构造的切向线性模式能够提供关于非线性模式扰动的一阶近似,伴随模式所计算的梯度值能够为最小化过程提供较好的下降方向;郭氏降水参数化方案中对流每隔一个积分步的交替发生并不影响目标函数最小化的收敛速度;"开关"变量的存在也不影响将风、温度、气压和比湿结合起来同化对MM5降水预报准确性的提高。

In the numerical study, the governing equations of flow and heat transfer in 3 —D body—fitted curvilinear coordinate system being automaticly generated with TTM method were deduced by means of vector and tensor analysis. These equations were dliscreted with nonstaggered grids providing relative elimilating method for the pressure oscillation was domonstrated.

在数值分析中,借助于矢量理论和张量分析,导出了具有普遍意义的三维任意曲线坐标系下的流动传热控制方程,并利于TTM方法生成了计算域的贴体曲线坐标网格;在数值离散过程中,尝试了用非交错网格离散的方法并解决了压力场振荡的抑制问题;运用附面层理论,阐述了壁面函数法在三维任意曲线坐标系上的应用。

The change of motor thrust ,deflection angle of thrust line with scarfed angle was investigated.

应用有限体积法建立了三维守恒型N-S方程组的数值求解器,对某非轴对称斜切喷管内流场开展了数值模拟计算,研究了斜切角度变化时引起的发动机推力及推力线偏转角变化。

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