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51.
52.
In this paper, a phenomenological model for a magnetic drive source term for the momentum and total energy equations of the Euler system is described. This body force term is designed to produce a Z‐pinch like implosion that can be used in the development and evaluation of shock‐hydrodynamics algorithms that are intended to be used in Z‐pinch simulations. The model uses a J × B Lorentz force, motivated by a 0‐D analysis of a thin shell (or liner implosion), as a source term in the equations and allows for arbitrary current drives to be simulated. An extension that would include the multi‐physics aspects of a proposed combined radiation hydrodynamics (rad‐hydro) capability is also discussed. The specific class of prototype problems that are developed is intended to illustrate aspects of liner implosions into a near vacuum and with idealized pre‐fill plasma effects. In this work, a high‐resolution flux‐corrected‐transport method implemented on structured overlapping meshes is used to demonstrate the application of such a model to these idealized shock‐hydrodynamic studies. The presented results include an asymptotic solution based on a limiting‐case thin‐shell analytical approximation in both (x, y) and (r, z). Additionally, a set of more realistic implosion problems that include density profiles approximating plasma pre‐fill and a set of perturbed liner geometries that excite a hydro‐magnetic like Rayleigh–Taylor instability in the implosion dynamics are demonstrated. Finally, as a demonstration of including and evaluating multiphysics effects in the Euler system, a simple radiation model is included and self‐convergence results for two types of (r, z) implosions are presented. Copyright © 2008 John Wiley & Sons, Ltd. 相似文献
53.
一类具有年龄分布和加权的种群系统的最优控制 总被引:1,自引:0,他引:1
本文研究了一类依赖于年龄结构的非线性种群系统的最优控制问题,其生死率依赖于个体年龄和加权规模.应用Ekeland’S变分原理证明了最优解的存在性,并用法锥和共轭系统技巧导出了最优性条件. 相似文献
54.
GaoQiren QiuShuxi 《数学研究》1994,27(1):72-76
In this paper the generalized weight is introduced, and its behaviour is discussed. 相似文献
55.
综合评判的神经网络方法 总被引:21,自引:1,他引:20
综合评判的方法已经广泛运用到信息,决策,管理和控制等领域,但是它的两大难点-权重和单因素评价矩阵的确定越来越来明显地展现在人们面前,本文试图用神经网络方法来解决这两个难点,并从理论上证明了这种方法的收敛性。 相似文献
56.
A reference solutions for phase change involving convection in the melt is currently missing. In the present study, we focus on the problem of melting of pure tin in a square cavity heated from the side, which is used as a benchmark test problem. The mathematical model used for the simulations is based on the enthalpy formulation. Extensive numerical computations are performed with grids as fine as 800 × 800. The convergence of the numerical solution is demonstrated and its level assessed. Data values and plots are provided for use as a reference solution. Copyright © 2005 John Wiley & Sons, Ltd. 相似文献
57.
Brahim El Khalil Hachi Said Rechak Mohamed Haboussi Mbarek Taghite 《Comptes Rendus Mecanique》2006,334(1):83-90
A method improving the evaluation of the stress intensity factor by hybridization of two weight functions is presented and applied to embedded elliptical cracks under various loadings. The hybridization consists in using one or the other function in the zone of the crack where it is the most efficient. The delimitation of the two zones is achieved after optimizing the axes ratio and the curvature radius of the crack. During this optimization we seek to reduce the effects of the singularities present in the weight functions as well as to take better into account the influence of the ellipse curvature. To cite this article: B. El Khalil Hachi et al., C. R. Mecanique 334 (2006). 相似文献
58.
An asymptotic analysis is presented for a dynamic problem of a semi-infinite isotropic thermoelastic solid with a small surface breaking crack. The exterior surface of the solid is subjected to a series of short thermal pulses. The crack surface is traction free and an ideal thermal contact is assumed across the crack. The stress intensity factor is asymptotically evaluated as a function of the crack depth and time. The effect of a boundary layer associated with the diffusive term is identified. The theoretical model is supplied with numerical simulations. 相似文献
59.
New fabrication technologies now allow for hybrid sandwich structures, known as X-core, to be manufactured. The X-core panels
consist of a pin reinforced polymer foam core with carbon fiber face sheets. Carbon fiber or metallic (Titanium/Steel) pins
are inserted into the foam core in the out-of-plane direction and extend from face sheet to face sheet. The through thickness
three-point simply supported bending behavior of these panels is used to evaluate the collapse characteristics of the panels.
Explicit experimental observations are used to calibrate analytical energy balance models describing the panel collapse as
a function of geometry and properties. The mechanical response of X-core sandwich panels is compared to current sandwich materials
for material selection. 相似文献
60.