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101.
Some new sixth-order compact finite difference schemes for Poisson/Helmholtz equations on rectangular domains in both two- and three-dimensions are
developed and analyzed. Different from a few sixth-order compact finite difference
schemes in the literature, the finite difference and weight coefficients of the new
methods have analytic simple expressions. One of the new ideas is to use a weighted
combination of the source term at staggered grid points which is important for grid
points near the boundary and avoids partial derivatives of the source term. Furthermore, the new compact schemes are exact for 2D and 3D Poisson equations if the
solution is a polynomial less than or equal to 6. The coefficient matrices of the new
schemes are $M$-matrices for Helmholtz equations with wave number $K≤0,$ which
guarantee the discrete maximum principle and lead to the convergence of the new
sixth-order compact schemes. Numerical examples in both 2D and 3D are presented
to verify the effectiveness of the proposed schemes. 相似文献
102.
二维振荡叶栅非定常粘性流动数值模拟 总被引:9,自引:0,他引:9
采用显式四步Runge-Kutta格式,结合Baldwon-Lomax紊流模型求解Navier-Stokes方程,借助运动网格技术,完成了对二维振荡叶栅非定常粘性流动的数值模拟。为了加速求解过程,引入了变系数隐式残差光顺方法,取得了较好效果。数值结果与已公布的数据有很好的一致性。 相似文献
103.
面向星敏感器的星模式识别算法 总被引:3,自引:0,他引:3
介绍了到目前为止出现的所有面向星敏感器的星模式识别算法,它们是概率统计算法、三角形算法、匹配组算法、网格算法、奇异值分解算法、神经网络算法和遗传算法,并分两组比较了它们的性能,给出了具有指导意义的结论。 相似文献
104.
F.?BucherEmail author K.?Knothe A.?Lünenschlo? 《Archive of Applied Mechanics (Ingenieur Archiv)》2004,73(8):561-567
Summary The numerical treatment of a 3-d frictionless normal contact of rough bodies made of a linear–elastic, isotropic material is considered. First, the governing equations and their discretized forms are presented. Due to the order of the problem, the computation time rapidly increases with the grid refinement. Therefore, common computer programs have to be limited to 50×50 contact points. Several numerical techniques (multigrid, iterative solver, distributive relaxation) are used. Cell-centered grid transformation is applied and grid operators have been established for this purpose. In order to handle upto 1000 × 1000 cells the program CON3D has been developed. 相似文献
105.
A technique is proposed to determine the natural frequencies of rib-reinforced cylindrical shells with low shear stiffness. The equations of motion based on the Timoshenko model are used. The influence of the transverse shear moduli of the shell and ribs on the minimum natural frequencies and corresponding modes is studied by way of numerical examples. It is shown that the effect of the discrete ribs is different from that predicted by the classical theory of ribbed shells__________Translated from Prikladnaya Mekhanika, Vol. 41, No. 4, pp. 66–74, April 2005. 相似文献
106.
通过提出一种针对三维四面体网格的区域整形技术,给出了一种简便实用的四面体网格局部自适应加密方法,并将其与流量修正有限元法结合,应用于三维高速流的计算 相似文献
107.
108.
本文针对复杂杆系结构提出一种超级有限条的分析方法。这种方法基于半连续半离散思想将各杆件结点自由度归结为整体结构自由度;进一步又将整体自由度简化为少数结线自由度上机计算。这将为复杂结构体系开拓一条简便、实用的工程分析途径。 相似文献
109.
Evangelos Tentis Dionissios Margaris Dimitrios Papanikas 《Comptes Rendus Mecanique》2003,331(7):481-487
Designing natural gas pipelines to safely and efficiently handle unsteady flows, requires knowledge of pressure drop, flowrate and temperature distribution throughout the system. The accurate prediction of these parameters is essential in order to achieve optimum cumulative deliverability, and safe and reliable operation. An Adaptive Method of Lines algorithm is formulated for the solution of Euler system of equations, which fully simulates slow and fast transients. Two test cases present the improvement of the numerical solution from grid adaptation. Good results are obtained both for slow and fast transients simulations proving that the suggested numerical procedure is appropriate for such predictions. To cite this article: E. Tentis et al., C. R. Mecanique 331 (2003). 相似文献
110.
Many composite parts, such as laminated panels and grid-like shells, operate under high mechanical loading. Evaluation of their structural integrity is crucial to ensure the long-lasting operation of critical components. Since testing a structure under full or “proof” load might be dangerous for personnel, it would be preferable to use a remote, rapid inspection technique. This paper describes a practical application of IR thermography to the inspection of large composite parts used in the aerospace industry. This work has used just one cycle of increasing load from zero load to failure, and this was done for both for tensile and compressive loads. It is shown that, during the formation of micro-defects in polymeric composites, about 40 % of the total dissipated energy is expended for material heating, while about 60 % is related to material damage accompanied by an increase in the defect concentration. Non-uniform composite deformation causes temperature anomalies, whose amplitude may reach 1.5–2.5 °C at a load of about 50–60 % of the limit load. 相似文献