共查询到20条相似文献,搜索用时 93 毫秒
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核磁共振测井仪探头的优化设计能够增强仪器的探测特性,提高仪器的信噪比, 而探头设计中的数值方法对设计结果至关重要.本文利用电磁场有限元方法对贴井壁型核磁共振测井仪探头静磁场和射频场进行了2D和3D的数值模拟,深入分析了数值模型形状、模型尺寸、 单元形状对数值模拟结果的影响,并将有限元数值模拟结果与实测数据做了对比. 结果显示:数值模拟结果与实测数据符合.在设计核磁共振测井仪探头结构时, 选取与井眼形状一致的圆形模型,模型尺寸范围在10—15倍探头外径, 并采用三角形单元可以有效提高数值模拟方法精度,增强优化设计结果的可靠性. 相似文献
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讨论一维和二维非线性Schr(o)dinger (NLS)方程的数值求解.基于扩散广义黎曼问题的数值流量,构造一种直接间断Galerkin方法(DDG)求解非线性Schr(o)dinger方程.证明该方法L2稳定性,并说明DDG格式是一种守恒的数值格式.对一维NLS方程的计算表明,DDG格式能够模拟各种孤立子形态,而且可以保持长时间的高精度.二维NLS方程的数值结果显示该方法的高精度和捕捉大梯度的能力. 相似文献
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提出一种在自由重映移动网格下的广义黎曼问题方法模拟反应流.该方法基于显式的自由重映移动网格广义黎曼问题的解.为保证在时间和空间上的高精度,应用广义黎曼问题方法构造数值通量.为保证反应区的高分辨率,采用变分法生成自适应移动网格.该方法不仅能够保证网格质量,而且能有效地避免任意拉格朗日—欧拉方法中由于显式重映过程而带来的数值误差.包括CJ爆轰及不稳定爆轰的数值实验说明该格式的精确性和鲁棒性,证明这种移动网格下的二阶广义黎曼问题方法可以较好地捕捉反应流的间断与光滑结构. 相似文献
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基于流体体积分数的混合型多流体数值模型,将Piecewise Parabolic Method(PPM)方法应用于可压缩多流体流动的数值模拟,采用双波近似求解多流体van der Waals状态方程的Riemann问题.模拟高密度比且含有激波的可压缩多流体流动,典型的纯界面平移问题模拟结果表明,在接触间断的界面附近,压力和速度没有任何的振荡且界面数值耗散都被控制在2—3个网格之内;一维和二维算例表明,该数值方法可以有效地处理接触间断、激波和多维滑移线等物理问题,并能够比其它多流体数值方法更精细地模拟多流体交界面. 相似文献
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基于简单紧束缚方法理论,利用一维碳纳米管的量子化周期边界条件得到了碳纳米管的电子能级结构关系.并结合已报道的碳纳米管中电子与声子相互作用的实验结果,得到了碳纳米管能够辐射太赫兹波的结论.通过数值结果验证了碳纳米管在外场作用下能够产生太赫兹波,并对数值计算结果中太赫兹波的振荡现象给予合理的解释.其结果为进行碳纳米管产生太赫兹辐射的实验研究提供深入的理论基础.
关键词:
太赫兹波
碳纳米管 相似文献
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RuShan Chen Edward K. N. Yung Ke Wu DaoXiang Wang 《International Journal of Infrared and Millimeter Waves》1999,20(6):1143-1153
In this paper, a novel numerical technique to solve electromagnetic boundary value problem is described. This finite element based method of lines is developed by combining finite element method and the method of lines, so that it not only has high flexibility to treat geometrically and compositionally complex problems but also maintains high accuracy of semi-analytical technique. The geometry discretization, element mapping, element trial function and standard ordinary differential equation construction are discussed in details. Our numerical result demonstrates that this method can successfully solve the complex problems with fewer mesh lines when compared with conventional method of lines. 相似文献
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Zhendong Luo 《advances in applied mathematics and mechanics.》2014,6(5):615-636
A semi-discrete scheme about time for the non-stationary Navier-Stokes equations is presented firstly, then a new fully discrete finite volume element (FVE) formulation based on macroelement is directly established from the semi-discrete scheme about time. And the error estimates for the fully discrete FVE solutions are derived by means of the technique of the standard finite element method. It is shown by numerical experiments that the numerical results are consistent with theoretical conclusions. Moreover, it is shown that the FVE method is feasible and efficient for finding the numerical solutions of the non-stationary Navier-Stokes equations and it is one of the most effective numerical methods among the FVE formulation, the finite element formulation, and the finite difference scheme. 相似文献
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An improved two-dimensional space-time conservation element and solution element (CE/SE) method with second-order accuracy is proposed, examined and extended to simulate the detonation propagations using detailed chemical reaction models. The numerical results of planar and cellular detonation are compared with corresponding results by the Chapman-Jouguet theory and experiments, and prove that the method is a new reliable way for numerical simulations of detonation propagation. 相似文献
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R. Kirby 《Journal of sound and vibration》2009,325(3):565-582
Identifying an appropriate method for modelling automotive dissipative silencers normally requires one to choose between analytic and numerical methods. It is common in the literature to justify the choice of an analytic method based on the assumption that equivalent numerical techniques are more computationally expensive. The validity of this assumption is investigated here, and the relative speed and accuracy of two analytic methods are compared to two numerical methods for a uniform dissipative silencer that contains a bulk reacting porous material separated from a mean gas flow by a perforated pipe. The numerical methods are developed here with a view to speeding up transmission loss computation, and are based on a mode matching scheme and a hybrid finite element method. The results presented demonstrate excellent agreement between the analytic and numerical models provided a sufficient number of propagating acoustic modes are retained. However, the numerical mode matching method is shown to be the fastest method, significantly outperforming an equivalent analytic technique. Moreover, the hybrid finite element method is demonstrated to be as fast as the analytic technique. Accordingly, both numerical techniques deliver fast and accurate predictions and are capable of outperforming equivalent analytic methods for automotive dissipative silencers. 相似文献
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在流形元的基础上,提出了非协调数值流形方法,非协调数值流形方法的优点是在不增加广义节点自由度的前提下,大大提高数值流形方法的计算精度和计算效率.利用内部自由度静力凝聚处理,推导了消除内参后的单元应变矩阵和单元刚度矩阵.在Hilbert空间内,从最小势能原理出发对非协调数值流形方法的稳定性和收敛性进行了分析和讨论,得到了保证非协调流形元解唯一存在和收敛的基本条件,完善了非协调数值流形方法的理论基础.数值试验表明,新单元构造过程简单,有较高的精度,从而证明了本方法的可行性.
关键词:
数值流形方法
非协调元
稳定性分析
收敛性分析 相似文献
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在流形元的基础上,提出了非协调数值流形方法,非协调数值流形方法的优点是在不增加广义节点自由度的前提下,大大提高数值流形方法的计算精度和计算效率.利用内部自由度静力凝聚处理,推导了消除内参后的单元应变矩阵和单元刚度矩阵.在Hilbert空间内,从最小势能原理出发对非协调数值流形方法的稳定性和收敛性进行了分析和讨论,得到了保证非协调流形元解唯一存在和收敛的基本条件,完善了非协调数值流形方法的理论基础.数值试验表明,新单元构造过程简单,有较高的精度,从而证明了本方法的可行性. 相似文献
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Calculation and visualization of Lamb wave motion 总被引:1,自引:0,他引:1
Lamb wave propagation was calculated by using hybrid boundary element method (HBEM) that is the combination of the analytical mode expansion and boundary element method. HBEM makes it possible to simulate Lamb wave propagation in large plates with shorter computational time. The numerical results, e.g. displacements and stresses, were collected at every time step for the inner grid points and visualized as mpeg movies or jpeg pictures. The generation mechanism of Lamb waves is investigated as a numerical example. 相似文献