Finite Element Method for Solving Radiative Transfer Equation in Graded Index Medium 梯度折射率介质内辐射传递方程数值模拟的有限元法
Based on a precise and validated three-dimensional finite element model, the modal flexibility index for damage localization in the cable-stayed bridges is investigated. 结合斜拉桥结构,应用高精度三维有限元模型,对桥面损伤位置识别的模态柔度指标进行了研究。
Many scholars have studied these respects and given many important results, for example, the Huppert's famous theorem, namely, a finite group G is supersolvable if and only if every maximal subgroup of G has prime index; 很多学者都在这些方面进行了研究,得到了很多重要的结果,如:著名的Huppert定理,即有限群为超可解当且仅当它的所有极大子群的指数为素数;
The feasibility to realize large-scale parallel finite element in the circumstance of cluster-of-workstations ( COW) is discussed in details on the evaluating index and capability. 以这些分析为基础,进一步分析了机群(COW)环境下实现大规模并行有限元计算的可行性。
Further, through changing the Morse index of the infinite dimensional solution into the finite dimensional one, we find that the high frequence solution has large Morse index and then establish some preliminary relations between Morse index and the solution. 将无穷维问题多解的Morse指标转化为有限维逼近问题的Morse指标进行描述,对二维情形发现多次变号的解有较高的Morse指标,初步建立了解的Morse指标和解的性态之间的联系。
Bases on the finite element model, this paper presents a comparative study of the applicability of the frequency changes ratio index, the modal curvature difference index and the static strain difference index for damage detection in suspension bridges in the absence of noise. 依据精细的悬索桥有限元模型,分析比较了在无噪声情况下频变比指标、模态曲率差指标和静态应变差指标对悬索桥不同位置损伤的适用性。
Two new theorems on the solvability of finite groups are proved by means of index complex of maximal subgroups. 建立了以有限群的极大子群的指数复合刻划可解性的两个新定理。
Finite element method is used to analyze the performance ( e.g.microwave effective refractive index, modulation bandwidth, and characteristic impedance) of the novel modulator with ACPS or SCPS electrodes. 利用有限元法对非对称共面带线(ACPS)和对称共面带线(SCPS)两种电极的光纤型调制器微波等效折射率、调制带宽和特性阻抗进行分析。
G is an inner-FN group which has a proper subgroup with finite index. G为具有指数有限的真子群的内-FN群。
Through learning the finite empirical data, the model can be used to derive the nonlinear correlation between the productivity index and its influencing factors both before and after sand control. 该模型通过有限经验数据的学习,能够导出防砂前后采油指数与其影响因素的非线性关系。
For a maximal subgroup M of a finite group G the normal index of M is the order of a chief factor H/ K where H is minimal in the set of supplements of M in G. 有限群G的极大子群M的正规指数是指G的主因子H/K的阶,其中H为M在G中的极小正规补。
After analyzing the features of total rigidity matrix and its operation of the finite element analysis, it presented a kind of Linked Compressed Row Storage with column storage index format, which improved the efficiency of both the storage and its operation of total rigidity matrix. 在分析了有限元分析中的总刚度矩阵性质及其存取运算特征之后,给出了一种带列压缩存储索引的链式行压缩存储算法,提高了总刚度矩阵元素的存储及访问效率。
Air temperature distribution is analyzed with a finite element method. Linear distribution of refractive index is calculated for certain measurement positions. 该文利用有限元方法分析热轧车轮周围空气温度场,计算得到相应测位空气折射率的线形分布规律。
This method is based on the combination of variation and finite difference methods, and is suitable for the arbitrary index profile and width-depth ratio. 它是基于变分法和有限差分法的结合,适用于任意折射率分布和r值。
A simple and efficient finite difference method is proPOsed to solve the eigenvalue equations for planar optical waveguides and circular fibers with arbitrary refractive index profiles. 给出一种差分法,用以求解任意折射率剖面的平板波导及圆光纤的本征方程。
Based on analysis of the Fourier Quick Variation and the representation theory of the finite observation angle, this article illustrates a representation approach to the finite observation angle without blocking in the 3-D refraction index field by the Fourier Quick Variation Repeat Method. 本文在分析了快速傅里叶变换及有限观察角再现理论的基础上,使用快速傅里叶变换迭代法对三维流场中不含遮挡物的有限观察角进行了再现。
It is proved proved that a soluble p group which satisfies the maximal condition is nilpotent and a maximal subgroup of a p with finite index is normal. 证明了满足极大条件的可解p群是幂零群;p群中具有有限指数的极大子群是正规子群;
The greatest number of finite singular points with index+ 1 for cubic system 三次系统指标为正的奇点个数
Based on the stochastic finite element method, the reliability of the arch dam gravity abutment is analyzed, and the corresponding reliability index is calculated. 然后在随机有限元的基础上进行拱坝的拱座&重力墩的强度和抗滑稳定可靠度分析,计算相应的可靠指标。
Formulas related to the function of a spatial girder element and panel element for a ship structure were given combining the finite element method ( FEM), and the reliability index was obtained by a genetic simulated annealing algorithm. 结合有限元计算,给出了船舶三维空间梁板结构的功能函数,并采用遗传模拟退火算法求结构可靠性指标。
LE-FEM method inherits the advantage of finite element method and the appraisement index can conform to the traditional safety coefficient appraisement system, which make the result of calculation be able to apply to reality directly. LE&FEM法继承了有限元分析的优点,且该法对于边坡稳定性的评价可以和传统的安全系数评价体系接轨,使得计算结果可以直接应用于工程实际。
The optimal tracking control for discrete time-delay systems with finite time quadratic performance index is considered. 针对具有有限时间二次型性能指标的时滞离散系统,研究了最优输出跟踪控制问题。
The performance of the finite element methods based on different stabilization schemes are studied and compared for solving radiative transfer in semitransparent graded index medium. 研究比较了不同离散方案的有限元法对于求解直角坐标系下多维半透明梯度折射率介质内辐射传递的性能。
For pure isometry with finite multiplicity, we establish an interesting relation between this invariant and Fredholm index. 同时对有限重的纯等距而言,我们建立了这个不变量与Fredholm指标的联系。
The numerical study verifies that the method has very good numerical property. 4. An unstructured hybrid finite volume/ finite element method is presented to solve the radiative transfer problem in graded index medium. 发展了求解梯度折射率介质内辐射传递的非结构混合有限体积/有限元方法并研究了该方法求解梯度折射率介质内辐射传递的性能。
Based on the radiative transfer equation in cylindrical coordinate system, the finite element methods which are suitable to solve radiative transfer in multilayer semitransparent graded index cylinder and in optical fiber coated with thin film are developed and studied. 基于圆柱坐标系下的梯度折射率介质内辐射传递方程,发展了适用于求解半透明多层及具有薄膜包覆的梯度折射率圆柱介质内辐射传递的有限元法。
The first and second stability problems of cable-stayed bridges with long span are investigated by application of finite element method in this work. At the same time, the stability evaluation index and the corresponding criterion are discussed. 论文对斜拉桥第一、二类稳定问题的有限元分析方法进行了阐述,同时探讨了斜拉桥稳定性的评价指标、失稳判断准则。
Firstly, the fundamental theories of nonlinear finite element and stability are described in this thesis. The nonlinear solutions are discussed. The evaluating index, unstable criteria and distinguishing unstable mode are also studied. 首先,本文详细阐述了非线性有限元的基础理论及稳定理论,并对各种非线性的求解方法进行了讨论,而且探讨了钢管混凝土拱桥稳定性的评价指标、失稳判断准则及失稳模式判别。
In allusion to subjectivity of the salvation of weight coefficient, finite element numerical analysis has been put forward to determine the coefficient of index weight of reinforced concrete rib arch bridge in this paper. 针对目前权重系数的求解方法存在的主观性,本论文提出了采用有限元数值分析确定肋拱桥各评价指标权重系数的方法。