双端抽运热容激光器温度特性分析

通过对激光二级管阵列双端抽运热容激光器晶体的分析,建立了热传导模型及边界条件.利用有限元方法模拟了晶体的温度场分布,并分别对抽运光斑直径、抽运持续时间、抽运光强和晶体端面尺寸等因素对温度场分布的影响进行了分析,得到了热容工作模式下的激光器温度特性.结果表明,晶体端面温差随抽运光斑直径的增大先增后减,存在一个极大值,并且在不同抽运光强下,出现端面温差极大点时的抽运光斑直径不变.     

Some theoretical aspects of elastic wave modeling with a recently developed spectral element method

A spectral element method has been recently developed for solving elastodynamic problems. The numerical solutions are obtained by using the weak formulation of the elastodynamic equation for heterogeneous media, based on the Galerkin approach applied to a partition, in small subdomains, of the original physical domain. In this work, some mathematical aspects of the method and the associated algorithm implementation are systematically investigated. Two kinds of orthogonal basis functions, constructed with Legendre and Chebyshev polynomials, and their related Gauss-Lobatto collocation points are introduced. The related integration formulas are obtained. The standard error estimations and expansion convergence are discussed. An element-by-element pre-conditioned conjugate gradient linear solver in the space domain and a staggered predictor/multi-corrector algorithm in the time integration are used for strong heterogeneous elastic media. As a consequence, neither the global matrices nor the effective force vector is assembled. When analytical formulas are used for the element quadrature, there is even no need for forming element matrix in order to further save memory without losing much in computational efficiency. The element-by-element algorithm uses an optimal tensor product scheme which makes this method much more efficient than finite-element methods from the point of view of both memory storage and computational time requirements. This work is divided into two parts. The first part mainly focuses on theoretical studies with a simple numerical result for the Che-byshev spectral element, and the second part, mainly with the Legendre spectral element, will give the algorithm implementation, numerical accuracy and efficiency analyses, and then the detailed modeling example comparisons of the proposed spectral element method with a pseudo-spectral method, which will be seen in another work by Lin, Wang and Zhang.     

共焦显微镜扫描工作台的系统建模与动态分析

共焦显微镜扫描工作台动态模型是研究控制系统的重要依据,它直接影响工作台的重复定位精度.提出了将机械部分和电气部分分开建模的方法,建立了系统数学模型,该方法具有较好的可移植性,建模过程简单,有利于分析系统各环节对系统控制性能的影响.在MATLAB/Simulink下进行仿真,2 s内系统达到了稳定状态,证明了系统具有很好的动态特性,满足控制的要求.     

LD侧面抽运板条激光器热效应分析

针对板状Nd:YLF激光介质,在高斯光束抽运情况下,用ANSYS有限元软件模拟了激光介质的热效应,对激光介质中各点的温度和应力分布进行了分析和比较.研究发现双侧抽运与单侧抽运相比,更易获得对称的温度分布,随着抽运光斑横截面变大,抽运面中心温度变低.同时得到板条的棱边、端角处存在较大热应力,且引入的机械应力不可忽视,因此,激光器运转时此区域需防止断裂.     

红外双波段双层谐衍射光学系统设计

将谐衍射透镜应用在传统红外单波段佩茨瓦尔(Petzval)物镜上,设计得到工作波段处于3.4~4.2μm和8~11μm的红外双波段单层谐衍射光学系统。但单层谐衍射元件的衍射效率只在设计波长处衍射效率最高,随着波长相对设计中心波长向两侧偏离,主衍射级次的衍射效率逐渐下降。为提高含单层谐衍射元件光学系统的衍射效率,基于双层衍射元件衍射效率表达式研究了双层谐衍射元件的结构优化,给出了优化方法。设计出佩茨瓦尔型红外双波段双层谐衍射光学系统,其在3.4~4.2μm和8~11μm两个工作波段的衍射效率均达到90%以上,相比含有单层谐衍射面的光学系统衍射效率有了很大提升,提高了像面衬比度,完善了系统成像质量。     

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利用分裂的屏蔽氢不透明度模型计算了Ar、Kr、Xe惰性元素混合物随光子能量变化的不透明度以及Rosseland平均不透明度。研究了温度为100～250eV,密度为0.5～2g·cm-3范围内惰性元素混合物的Rosseland平均不透明度与混合物质、混合比例、温度和密度的密切关系。结果显示,Ar-Xe混合以及Xe-Kr混合后的Rosseland平均不透明度比它们为纯元素时有较大的增加;而Ar-Kr混合后的Rosseland平均不透明度则比纯Kr低。通过对比纯惰性元素随光子能量变化的不透明度峰、谷值,分析了造成混合后不透明度增加或降低的原因,同时给出了获得惰性元素混合物平均不透明度为最大时的混合比例。     

非结构网格上温度扩散方程的能流计算方法

讨论非结构网格上温度扩散方程的能流计算方法.应用有限点方法(Finite Point Method,简称FPM)导出基于有限点两点公式和三点公式的能流计算公式,该公式适用于任意多边形及非匹配网格等非结构网格;给出网格角点温度新的计算公式.数值试验表明:基于两点公式的离散解和基于三点公式的离散解均具有平方阶的收敛速度;基于三点公式的离散解的精度总优于基于两点公式的离散解.     

计算流管声场的三维有限元数值模型

发展了一种三维有限元数值模型和计算方法来对矩形流管声场进行整体的计算.与以往的二维方法相比,此种数值方法不仅全面反映了矩形流管内声波的传播情况,而且提高了网格精度,从而大大扩展了对铺设有声衬的流管的计算领域.结果表明,该数值模型是有效和准确的,与其它方法和文献的计算结果吻合得非常好.同时,在大大增加计算量的同时,也对程序代码进行了优化工作,提高了计算效率.     

圆柱和直桨叶突然启动瞬态流动的数值研究

采用基于动网格方法的有限体积法对圆柱和直桨叶突然启动引起的二维非定常不可压粘性流进行了数值模拟,给出了计算方法.通过计算得到了Re=5000和9500时圆柱突然启动后的流场随时间演化的非定常过程.将计算结果与实验结果进行了对比,两者吻合较好;采用大涡模拟对高雷诺数下的直桨叶突然旋转启动的流场进行了计算,得到了完成启动后叶片内部瞬态流场的分布结果.     

Adaptive modeling, adaptive data assimilation and adaptive sampling

For efficient progress, model properties and measurement needs can adapt to oceanic events and interactions as they occur. The combination of models and data via data assimilation can also be adaptive. These adaptive concepts are discussed and exemplified within the context of comprehensive real-time ocean observing and prediction systems. Novel adaptive modeling approaches based on simplified maximum likelihood principles are developed and applied to physical and physical–biogeochemical dynamics. In the regional examples shown, they allow the joint calibration of parameter values and model structures. Adaptable components of the Error Subspace Statistical Estimation (ESSE) system are reviewed and illustrated. Results indicate that error estimates, ensemble sizes, error subspace ranks, covariance tapering parameters and stochastic error models can be calibrated by such quantitative adaptation. New adaptive sampling approaches and schemes are outlined. Illustrations suggest that these adaptive schemes can be used in real time with the potential for most efficient sampling.