共查询到19条相似文献,搜索用时 62 毫秒
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拉格朗日分析方法研究现状及应用中应注意的问题 总被引:3,自引:0,他引:3
拉格朗日分析方法在研究材料的动态力学性能方面具有重要作用。我们对拉格朗日分析方法的产生、发展以及目前的研究现状进行了简要的分析总结,并揭示了在应用中应注意的几个问题。 相似文献
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系统地讨论了路径线法及曲面拟合法误差发展。反分析计算误差可分成截断误差及增殖误差两部分,截断误差及增殖误差受测量量计数目及量计间距影响,增加量计数,减小量计间距可以减小截断误差,但不利于控制增殖误差。反分析计算误差发展可分为三个过程:开始,计算误差主要来源于截断误差;其后,误差受截断误差和增殖误差共同影响;最后,增殖误差是主要的。无论是曲面拟合法还是路径线法,各量计线上增殖误差可用时间多项式函数来表示,且多项式最高幂次数与量计线数目有关。 相似文献
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高能炸药爆轰波反应区流场的拉格朗日分析方法 总被引:3,自引:3,他引:3
给出了一种简单的、对高能炸药爆轰反应区流场进行拉格朗日分析的方法。若已知未反应炸药和反应产物的状态方程,采用适当假设,我们可以在不知道反应速率函数的情况下得到爆轰反应区中的关系p()和u()等。根据这些关系及爆轰反应区中拉氏量计的实验结果p(t)[或u(t)],通过插值或数据拟合可以得到爆轰反应区中的反应流场。我们将此方法应用于PBX-9404炸药,并得到其爆轰反应区中的反应流场。 相似文献
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曲面拟合在拉格朗日反分析方法中应用的探讨 总被引:3,自引:2,他引:1
把一组不同位置的速度(应变)波形构筑的x-t域离散成8节点或9节点单元,每个单元的插值函数为10或12参数多项式,利用拉格朗日反分析可以得到相应的应力(速度)波形。正如路径线法,曲面拟合反分析的某一单元函数值计算需要利用前一单元与该单元交界点的计算值,因而误差生成和发展有时很难预测、控制。文中对不同位置、不同数量量计线情况下,拉格朗日反分析中的曲面拟合法及路径线法误差生成、发展进行了分析,分析结果对材料实验中布置速度(应变)传感器的数量及其间距是有一定帮助的。 相似文献
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采用改进的基于质点速度波形测量的拉格朗日分析方法,研究了率型材料的动态力学性能.首先用高磁感应强度的钕铁硼强滋材料研制出新型磁电式粒子速度计,其性能高于前人文献所报道的性能.其次,在理论分析和数值模拟的基础上得出,用实测的质点速度波形来求应力波形时,实测的应力边界是不可缺少的.在实际研究中,要同时测得质点速度以及应力量... 相似文献
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拉格朗日松弛算法在平台罗经多故障诊断技术中的应用研究 总被引:1,自引:0,他引:1
最优多故障诊断问题是一个NP-hard问题。针对平台罗经这一复杂系统,采用有向图描述元件与测试点间的因果依赖关系,并建立系统的多信号模型。在考虑元件发生故障的先验概率的前提下,提出一种基于拉格朗日算法(LRA)和子梯度优化算法(SOA)近最优多故障诊断算法,并在某型平台罗经的方位稳定系统多故障诊断中得到应用。结果表明:该方法相对于传统的单故障诊断方法诊断速度快,适用于平台罗经这类大型复杂系统的多故障诊断。 相似文献
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A Fourier analysis was performed in order to study the numerical characteristics of the effective Eulerian–Lagrangian least squares collocation (ELLESCO) method. As applied to the transport equation, ELLESCO requires a C1-continuous trial space and has two degrees of freedom per node. Two coupled discrete equations are generated for a typical interior node for a one-dimensional problem. Each degree of freedom is expanded separately in a Fourier series and is substituted into the discrete equations to form a homogeneous matrix equation. The required singularity of the system matrix leads to a ‘physical’ amplification factor that characterizes the numerical propagation of the initial conditions and a ‘computational’ one that can affect stability. Unconditional stability for time-stepping weights greater than or equal to 0-5 is demonstrated. With advection only, ELLESCO accurately propagates spatial wavelengths down to 2Δx. As the dimensionless dispersion number becomes large, implicit formulations accurately propagate the phase, but the higher-wave-number components are underdamped. At large dispersion numbers, phase errors combined with underdamping cause oscillations in Crank–Nicolson solutions. These effects lead to limits on the temporal discretization when dispersion is present. Increases in the number of collocation points per element improve the spectral behaviour of ELLESCO. 相似文献
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考虑颗粒间碰撞的气固两相流拉格朗日模拟 总被引:3,自引:3,他引:0
在均匀,稳定的各向同性气固两相紊流场颗粒弥散的拉格朗日模拟计算方法基础上,进一步考虑了流场中颗粒之间的碰撞对于模拟计算结果的影响。与Lavieville用大涡模拟所做的计算结果进行了对比,以对本方法进行验证,并考察了颗粒间的碰撞分别对流体相和颗粒相的影响。 相似文献
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In this paper, the necessary condition for the existence of a Lagrangian for the ordered direct analytic representation of
a system of second-order ordinary differential equations on a connected domain is given. Under that condition, a new method
for the construction of the Lagrangian is proposed. The domain of definition of the constructed Lagrangian might be diminished.
Supported by China Doctoral Program Foundation of Institution of Higher Education and National Natural Science Foundation
of China 相似文献
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R. J. E. Walpot J. G. M. Kuerten C. W. M. van der Geld 《Flow, Turbulence and Combustion》2006,76(2):163-175
The calculation of Lagrangian statistics out of experimentally determined data from homogeneously seeded inhomogeneous turbulent flows is far from straightforward since statistical properties are position-dependent, necessitating local sampling. Two solutions for the preferential sampling of faster particles at a certain position in the flow are proposed. The performance of both methods was tested using DNS calculations for turbulent pipe flow. Both methods show a good performance for various statistical properties, thus providing two reliable ways to analyze experimental data from inhomogeneous turbulent flows. 相似文献
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现有反应流拉格朗日分析方法在已知粒子速度情况下,求解方法仍有不足。本文针对这一情况,将反解法与自洽检验法相结合,提出了基于最小二乘法的反应流拉格朗日反解法,该方法的理论精度能够实现应力沿路径线的 M阶导数为零(M为迹线数),并且该方法能够满足自洽检验法。为了验证该方法的有效性,利用该方法对一组小隔板冲击起爆试验数据进行了处理,对比了本文方法、试验处理以及传统的反解法处理结果,表明该方法不仅可以适当减小迹线上的偶然误差,还能够使得迹线函数更好地反映各物理量沿迹线的变化性态。 相似文献
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A stochastic Lagrangian model for both fluid velocities and temperature fluctuations is evaluated from Direct Numerical Simulation
of heat transport in homogeneous isotropic turbulence submitted to a linear mean temperature gradient. The first stage lies
on the study of the Lagrangian fluid turbulence statistics (Lagrangian correlations functions) computed from predictions of
DNS. They are crucial for the analysis and the modelling of the fluid turbulent properties along discrete particle trajectories.
In the second stage, a velocity-scalar Lagrangian stochastic model is proposed and evaluated from the DNS data. The coefficients
of the drift and diffusion terms of the model are determined by only Lagrangian timescales, temperature variance and turbulent
flux. The shapes of correlation functions present a good agreement between DNS results and stochastic modelling approach. 相似文献
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A nodal Godunov method for Lagrangian shock hydrodynamics on unstructured tetrahedral grids
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We present a nodal Godunov method for Lagrangian shock hydrodynamics. The method is designed to operate on three‐dimensional unstructured grids composed of tetrahedral cells. A node‐centered finite element formulation avoids mesh stiffness, and an approximate Riemann solver in the fluid reference frame ensures a stable, upwind formulation. This choice leads to a non‐zero mass flux between control volumes, even though the mesh moves at the fluid velocity, but eliminates volume errors that arise due to the difference between the fluid velocity and the contact wave speed. A monotone piecewise linear reconstruction of primitive variables is used to compute interface unknowns and recover second‐order accuracy. The scheme has been tested on a variety of standard test problems and exhibits first‐order accuracy on shock problems and second‐order accuracy on smooth flows using meshes of up to O(106) tetrahedra. Copyright © 2014 John Wiley & Sons, Ltd. 相似文献
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.Intr0ductionSurfaceerosionofmaterialbysolid-particleimpactisanimportantprobleminmultiphaseflowindustriaIdevicesandthecharacteristicsoftheparticIe'smotioninaturbulentboundarylayerflowisthebaseofthestudyofthematerialsurfaceerosion.Manycalculationmodelshave… 相似文献
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In this paper, we propose a new Lagrangian lattice Boltzmann method (LBM) for simulating the compressible flows. The new scheme simulates fluid flows based on the displacement distribution functions. The compressible flows, such as shock waves and contact discontinuities are modelled by using Lagrangian LBM. In this model, we select the element in the Lagrangian coordinate to satisfy the basic fluid laws. This model is a simpler version than the corresponding Eulerian coordinates, because the convection term of the Euler equations disappears. The numerical simulations conform to classical results. Copyright © 2006 John Wiley & Sons, Ltd. 相似文献