111 resultados para Euler discretization


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The beam lattice-type models, such as the Euler-Bernoulli (or Timoshenko) beam lattice and the generalized beam (GB) lattice, have been proved very effective in simulating failure processes in concrete and rock due to its simplicity and easy implementation. However, these existing lattice models only take into account tensile failures, so it may be not applicable to simulation of failure behaviors under compressive states. The main aim in this paper is to incorporate Mohr-Coulomb failure criterion, which is widely used in many kinds of materials, into the GB lattice procedure. The improved GB lattice procedure has the capability of modeling both element failures and contact/separation of cracked elements. The numerical examples show its effectiveness in simulating compressive failures. Furthermore, the influences of lateral confinement, friction angle, stiffness of loading platen, inclusion of aggregates on failure processes are respectively analyzed in detail.

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针对激光聚焦爆炸的电磁-热力耦合效应,在宏观尺度上,把描述激光电磁波散射和传播的Maxwell方程和高温高压气动流场的Euler方程结合起米,利用热力学状态方程(EOS)和电离平衡方程(Saha方程)并通过理论建模和数值仿真,研究和揭示激光聚焦爆炸效应及激光支持吸收波(LSC/LSD)的产生和演化、以及相关的反冲压力和动量耦合等相互作用机制.

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Self-organized generation of transverse waves associated with the transverse wave instabilities at a diverging cylindrical detonation front was numerically studied by solving two-dimensional Euler equations implemented with an improved two-step chemical kinetic model. After solution validation, four mechanisms of the transverse wave generation were identified from numerical simulations, and referred to as the concave front focusing, the kinked front evolution, the wrinkled front evolution and the transverse wave merging, respectively. The propagation of the cylindrical detonation is maintained by the growth of the transverse waves that match the rate of increase in surface area of the detonation front to asymptotically approach a constant average number of transverse waves per unit length along the circumference of the detonation front. This cell bifurcation phenomenon of cellular detonations is discussed in detail to gain better understanding on detonation physics.

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本文采用二阶精度NND格式,应用改进的二步法爆轰计算模拟,通过求解二维Euler方程对柱面气相散心爆轰波胞格演化过程进行了数值模拟。计算结果表明在传播过程中,空间尺度的扩张导致了散心爆轰波后气流的自然膨胀,使得多波结构的爆轰阵面呈现出显著的胞格自组织特性。根据计算结果与理论分析,本文归纳了五种胞格演化模式,分别命名为内凹波阵面会聚、波阵面扭结、褶皱波面失稳、胞格自合并和三波点滑移,并定义了各种模式的物理特征,分析了其相关的演化机制和规律。

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A new structure of solution elements and conservation elements based on rectangular mesh was pro- posed and an improved space-time conservation element and solution element (CE/SE) scheme with sec- ond-order accuracy was constructed. Furthermore, the application of improved CE/SE scheme was extended to detonation simulation. Three models were used for chemical reaction in gaseous detonation. And a two-fluid model was used for two-phase (gas–droplet) detonation. Shock reflections were simu- lated by the improved CE/SE scheme and the numerical results were compared with those obtained by other different numerical schemes. Gaseous and gas–droplet planar detonations were simulated and the numerical results were carefully compared with the experimental data and theoretical results based on C–J theory. Mach reflection of a cellular detonation was also simulated, and the numerical cellular pat- terns were compared with experimental ones. Comparisons show that the improved CE/SE scheme is clear in physical concept, easy to be implemented and high accurate for above-mentioned problems.

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对基于结构网格的Euler方程及N-S方程求解器和基于非结构网格的Euler方程求解器,采用结构模态分析方法和柔度矩阵方法,对无人机大展弦比机翼在Ma=0.6,α=2°,飞行高度20 km的巡航状态下的静气动弹性特性进行了数值模拟.验证了两种求解器对静气动弹性模拟的准确性.同时,对模态分析方法和柔度矩阵方法进行了对比研究,发现柔度矩阵方法更适用于静气动弹性数值模拟.另外,对应用物面法向偏转方法替代网格变形技术模拟静气动弹性进行了研究,计算表明物面法向偏转方法可以大大提高静气动弹性计算效率和克服机翼结构变形过大时动网格技术无法处理的不足.

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Hydrocyclones are widely used in industry, of which the geometrical design using CFD techniques is gaining more popularity in recent years. In this study, the Euler-Euler approach and the Reynolds stress model are applied to simulate the liquid-solid flowfield in a hydrocyclone. The methodology is validated by a good agreement between experimental data and numerical results. Within the research range, the simulation indicates that the liquid-solid separation mainly occurs in the conical segment, and increasing conical height or decreasing cylindrical height helps to improve the grade efficiencies of solid particles. Based on these results, two of the same hydrocyclones are designed and installed in series to establish a liquid-solid separation system. Many experiments are then conducted under different conditions, in which the effects of the water cut and the second hydrocyclone on the separation are investigated. The results also confirm that smaller solid particles are more susceptible to the inlet conditions, and the second hydrocyclone plays a more important role as the water cut reduces.

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The Heisenberg-Euler correction due to photon-photon scattering, a still unverified quantum electrodynamics effect, on electromagnetic wave interaction inside a plasma channel is investigated theoretically. From a signal laser beam in the relativistic overdense plasma channel, photon-photon scattering can produce a detectable output beam of different frequency and polarization. (C) 2003 American Institute of Physics.

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报道了基于双面反射镜的N×N光开关器件。介绍了使用双面反射镜的2×2, 4×4光开关的集成光路设计和工作原理; 采用Benes网络, 以2×2和4×4光开关为基本单元的N×N光开关器件的整体结构, 并根据“一笔画”原理, 分析了4×4, 8×8和16×16光开关矩阵的可重排无阻塞特性和光开关矩阵的光路选择算法。最后, 基于2×2, 4×4光开关技术制备了16×16光开关矩阵。测试表明, 该器件具有良好的插入损耗、回波损耗、串扰和开关时间等性能, 从而验证了设计思想和工艺的可行性。在基于双面反射镜的光开关矩

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报道了采自大兴安岭达尔滨湖及其周围沼泽水体的硅藻门桥弯藻科中国新记录植物9种1变种,分别为新箱形桥弯藻新月变种Cymbella neocistulavar.lunataKrammer、近箱形桥弯藻Cymbella subcistulaKrammer、疏纹内丝藻Encyonema paucistriatum(Cleve-Euler)Mann、普通内丝藻Encyonema vulgareKrammer、尖锐弯肋藻Cymbopleuraacuta(Schmidt)Krammer、英吉利弯肋藻Cymbopleur

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Gomphonemaceae and Cymbellaceae from the headwaters of the Yangtze River, Qinghai Province, China, comprised 84 taxa belonging to four genera. The dominant species were Gomphonema kaznakowi Mer., G. hedini Hust., G. olivaceum (Lyngbye) Kutz., Cymbella cistula (Ehr.) Kirchn. var. cistula and C. minuta Hilse ex Rabh. var. minuta. Some arctic and alpine forms also occurred, and the following taxa were unique to this region: C. cistula var. asiatica Mer., C. cistula var. capitata Grun., C. yabe Skvortzow var. punctata Li and Shi, G. olivaceum (Lyngbye) Kutzing var. brevistriatum Li and Shi and G. staurophorum (Pant.) Cleve-Euler var. oblongum Li and Shi. Different morphological forms of G. kaznakowi Mer. may be related to the upheaval of the plateau. Species diversity of the diatoms appears to be related not only to macro-environment (e.g., geographic zonation) but also to microhabitat and microclimate.

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Single-mode condition for silicon rib waveguides with trapezoidal cross-section was obtained using a numerical method based on imaginary-distance beam propagation method with non-uniform discretization. Both quasi-transverse-electric and quasi-transverse-magnetic modes were investigated. Simulated single-mode condition is given by a modified equation. Comparison with reported results shows that the Marcatili's method is in a better agreement with our results. (C) 2003 Elsevier B.V. All rights reserved.

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A series of novel numerical methods for the exponential models of growth are proposed. Based on these methods, hybrid predictor-corrector methods are constructed. The hybrid numerical methods can increase the accuracy and the computing speed obviously, as well as enlarge the stability domain greatly. (c) 2005 Published by Elsevier Inc.

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An augmented immersed interface method (IIM) is proposed for simulating one-phase moving contact line problems in which a liquid drop spreads or recoils on a solid substrate. While the present two-dimensional mathematical model is a free boundary problem, in our new numerical method, the fluid domain enclosed by the free boundary is embedded into a rectangular one so that the problem can be solved by a regular Cartesian grid method. We introduce an augmented variable along the free boundary so that the stress balancing boundary condition is satisfied. A hybrid time discretization is used in the projection method for better stability. The resultant Helmholtz/Poisson equations with interfaces then are solved by the IIM in an efficient way. Several numerical tests including an accuracy check, and the spreading and recoiling processes of a liquid drop are presented in detail. (C) 2010 Elsevier Ltd. All rights reserved.

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本文利用Euler方程和单步化学反应模型,对斜爆轰波进行了数值模拟,重点研究了斜爆轰波面上多维复杂结构的形成机理。数值结果显示在斜爆轰波面上,存在两种小尺度的激波、火焰耦合结构:第一种结构由一道横波和三角形火焰组成,是斜爆轰波中特有的结构;另一种由两道横波和凸起的火焰面组成,类似于正爆轰波面上的胞格结构。数值结果表明这两种结构能够相互转化,其形成和发展过程受到来流马赫数、化学反应放热速度等参数的影响。