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The localized differential quadrature (LDQ) method is a numerical technique with high accuracy for solving most kinds of nonlinear problems in engineering and can overcome the difficulties of other methods (such as difference method) to numerically evaluate the derivatives of the functions.Its high efficiency and accuracy attract many engineers to apply the method to solve most of the numerical problems in engineering.However,difficulties can still be found in some particular problems.In the following study,the LDQ was applied to solve the Sod shock tube problem.This problem is a very particular kind of problem,which challenges many common numerical methods.Three different examples were given for testing the robustness and accuracy of the LDQ.In the first example,in which common initial conditions and solving methods were given,the numerical oscillations could be found dramatically;in the second example,the initial conditions were adjusted appropriately and the numerical oscillations were less dramatic than that in the first example;in the third example,the momentum equation of the Sod shock tube problem was corrected by adding artificial viscosity,causing the numerical oscillations to nearly disappear in the process of calculation.The numerical results presented demonstrate the detailed difficulties encountered in the calculations,which need to be improved in future work.However,in summary,the localized differential quadrature is shown to be a trustworthy method for solving most of the nonlinear problems in engineering. 相似文献
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使用ABAQUS中内嵌的声 - 固耦合法计算了圆板模型遭受水下冲击波载荷作用的响应,并将计算结果与实验值进行比较,数值结果与实验值吻合良好,验证了声 - 固耦合法模拟水下爆炸的准确性;对铝合金圆板和钢板进行了比较,考虑了结构质量,材料应变率和屈服极限,药量和爆距的影响;建立了1艘小型铝合金艇的有限元模型,使用同样的方法分析了铝合金艇遭受水下冲击波载荷的动力响应特性.得出了铝合金艇典型位置的加速度、速度和位移等响应量的时间历程曲线.此外,还得出了塑性变形区域和塑性变形曲线.这些计算结果对铝合金舰艇的抗冲击特性具有一定参考价值. 相似文献
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船舶总体振动分析需考虑对船体外部水的影响。通过建立水域三维有限元模型进行计算或者先计算出附加质量后,加入到结构质量中进行计算。随着有限元技术的发展,船舶大都采用三维有限元建模。传统方法,例如刘易斯附加水质量法,虽然考虑到纵向变形,但确没有忽略船体横剖面的变形,因而不够准确。采用三维边界元方法,考虑水中结构振动的三维效应,计算三维附加质量矩阵,并对水中结构振动进行分析。结果表明,水中结构振动是三维变形,应该采用三维附加质量矩阵进行振动分析。 相似文献
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As a basic problem in many engineering applications, transition from laminar to turbulence still remains a difficult problem in computational fluid dynamics(CFD). A numerical study of one transitional flow in two-dimensional is conducted by Reynolds averaged numerical simulation(RANS) in this paper. Turbulence model plays a significant role in the complex flows' simulation, and four advanced turbulence models are evaluated. Numerical solution of frictional resistance coefficient is compared with the measured one in the transitional zone, which indicates that Wilcox(2006) k-ω model with correction is the best candidate. Comparisons of numerical and analytical solutions for dimensionless velocity show that averaged streamwise dimensionless velocity profiles correct the shape rapidly in transitional region. Furthermore, turbulence quantities such as turbulence kinetic energy, eddy viscosity, and Reynolds stress are also studied, which are helpful to learn the transition's behavior. 相似文献
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以一三体船型为例,研究了三体船型在波浪中的破舱稳性。对不同的破舱位置和侧体位置的多种方案进行了计算,结果表明:侧体位置不同时,最危险的破舱位置亦不同,并且破舱位置对稳性损失的影响随着侧体横向位置的增大而减小;侧体位置位于船舯时破舱稳性较好,侧体横向距离越大破舱稳性越好。 相似文献
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两自由度运动圆柱绕流的离散涡方法模拟 总被引:2,自引:0,他引:2
应用离散涡数值方法(Discrete Vortex Method,DVM)对弹性支承的二维圆柱绕流的涡激振动(VIV)问题进行数值模拟,研究单自由度横向运动系统、两自由度系统横向和流向耦合运动这两种模型的计算结果,得到了不同质量比、不同折合速度下的尾涡形状、受力系数和圆柱响应曲线,并分别提取了单自由度和两自由度两种模型所得到的横向振幅进行对比.总结出受质量比和自由度数影响的圆柱响应的变化规律,证实了锁定lock-in现象的发生过程.通过与实验结果的对比,验证了计算结果较为合理和可靠,说明离散涡方法是研究涡激振动问题的有效手段,并且它能够适应高雷诺数下的计算,并且认为圆柱的流向运动对涡激振动起着促进作用,在数值模拟中是应当予以重视的.计算过程采用FORTRAN语言编程实现. 相似文献