95 resultados para Euler Zahl, Irreduzible symplektische Mannigfaltigkeit, Lagrangefaserung, Modulraum
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在对喷流噪声研究进展广泛调研的基础上,本论文采用柱坐标下轴对称的线化欧拉方程(LEE)、空间四阶时间二阶精度的MacCormack差分格式,对水下气体喷流的混合噪声产生与辐射特性进行数值模拟研究。采用基于经验公式的积分计算方法来确定求解线化欧拉方程所需的平均流场,对边界条件给予特殊处理以避免声波通过时产生反射。本文计算声明,线化欧拉方程及其相应的高阶数值方法提供了一个可以预报水下气体喷流混合噪声传播的省时高效的途径。给出的结果指出:由于水介质的密度很大,水下气体喷流远场收集到的噪声强度比同样情况下空中气体喷流要小,这说明水下发射导弹更具隐蔽性。同时,由于水介质中的声速很大,水下的高速喷流噪声场呈现更加均匀的性态,而不是象空中混合噪声在下游沿一定的方向辐射。鉴于本文只考虑常温情况,气体喷流速度是影响喷流噪声产生与辐射的重要参数:马赫数增大,远场的噪声强度随之增大。另外,水下喷流噪声的特性还与扰动频率有关。
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对于采用贴有压电陶瓷片作为作动元件的智能结构,在进行自适应控制时,往往要分析压电陶瓷片所引起的结构中的应力、应变和位移。对于带有压电陶瓷片梁的力学分析,文献中大多采用Euler-Bernoulli模型,即不考虑梁中的剪力,且假定梁沿厚度方向满足直法线假定。考虑到压电陶瓷片对梁的作用主要是通过粘贴层以剪力的形式传递到梁上,梁截面上的剪应力和剪应变一般很大,其影响不能忽略。本文采用Hellinger-Reissner二类变分广义余能原理,导出考虑梁截面上剪应力和剪应变影响的方程式,其中采用吉尔法求解非齐次常微分方程组。并将求得的解与相同条件的有限元解进行比较。结果证明该方法很有效。本文还对二类广义变分法进行了一般的讨论,发现,在使用二类广义变分法求解时,随着应力和位移所取项数的增加,结果有时反而变坏。并对二类广义变分法的使用提出了一些建议。
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为满足超高速飞行器进行真实气体效应、再入物理现象和超声速燃烧地面实验研究,要求激波风洞具有极强的驱动性能,爆轰驱动利用氢氧爆轰波后的高温高压气体,作为激波风洞的驱动气源,产生高焓及高贮室压力的试验气流。这一强激波驱动方式受到当前世界各国的重视。本文针对氢氧爆轰驱动激波管的工作机理、驱动性能以及实现这一方式的关键技术,以实验为基础,在BBF100爆轰试验管以及爆轰驱动激波风洞上进行了系统的实验研究。分析了氢氧混合气体立即起爆的机理,确定了效果良好,性能稳定的爆轰驱动点火装置;以气体动力学为基础,研制出配比精确、混合均匀的高压充气、混合装置;这些技术应用于爆轰驱动激波风洞并获得成功。分析了在驱动段上游串接的卸爆段的作用及其特点,给出了较为系统的反向爆轰驱动以及前向爆轰驱动激波管的性能参数。并对两种爆轰模式的性能及特点进行了分析和对比。采用真实气体平衡流的计算方法,给出了爆轰驱动激波风洞的性能参数,以准一维Euler方程解为基础,采用二阶精度的NDD格式,结合化学反应动力学,建立了爆轰驱动激波管流场数值模拟程序,并进行了实验验证。结果表明:前向爆轰驱动通过采用变截面驱动技术,改善了驱动气流品质,增强了驱动能力,在产生高焓试验气流状态时其驱动能力高出反向模式的驱动能力约一个数量级。但当入射激波马赫数较低时,由于Taylor稀疏波的干扰,入射激波衰减较为严重,,波后流场定常时间有限。因此,前向爆轰驱动宜于用来产生高焓试验气流状态。反向爆轰驱动激波衰减较小,波后流场较为恒定,宜于用来产生高P5(高Re数)试验气流状态。在二维Euler方程数值解的基础上,对优化前向爆轰驱动的变截面驱动段结构,提高前向爆轰驱动激波管的性能提出了改进意见。
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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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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.