求解辐射传递的非结构混合有限体积／有限元法

本文给了一种适用于任意非结构网格的有限体积/有限元法的混合算法用于求解多维半透明吸收、发射、散射性灰矩形介质内的辐射传递.该方法使用有限元法进行角度离散,有限体积法进行空间离散.与基于辐射传递离散坐标方程的方法不同的是,该方法在迭代求解的过程中,针对每一个空间体元,所有角度方向的辐射强度同时耦合求出.通过两个算例验证了该解法的正确性.     

空间行波管收集极的热特性分析

 利用有限元方法对一Ku波段空间行波管收集极的热特性进行了模拟计算,得到了收集极的温度分布图。分析比较了接触热阻和热辐射对热特性的影响,结果表明接触热阻明显地阻碍了热量的散失,使收集极整体温度有一定上升,而热辐射在使收集极各部分温度降低的同时,使温度分布更均匀。运用间接法进行了热-应力耦合分析,得到了收集极的位移场分布等值线图,进而确定该收集极采用的结构在热形变方面满足散热要求;并对在轴向加矩形翅片和在径向加圆形翅片两种散热方案进行了分析,得到了各自的优缺点,为散热方案的选择提供了依据,从而可以更好地提高散热效率。     

矩形介质内辐射换热的有限元法

利用有限单元法离散求解辐射传递方程和能量控制方程.分别计算了边界为黑体和灰体条件下矩形吸收、发射、各向同性散射介质内的平均入射强度和温度分布,并同蒙特卡罗法(M-C法)计算结果进行了比较.     

非规则形状介质内辐射-导热耦合传热的间断有限元求解

采用间断有限元法(discontinuous finite element method,DFEM)求解非规则形状介质内的辐射导热耦合传热问题,得到了典型非规则形状介质内辐射导热耦合传热问题的高精度数值结果.和传统连续型有限元方法不同,DFEM将计算区域划分成相互独立的离散单元,形函数的构造、未知量的加权近似以及控制方...     

TE波辐射下超材料椭圆柱电磁斗篷特性分析

 利用有限元方法分析了TE波辐射下,超材料椭圆柱斗篷的电磁特性。研究发现：当超材料的介电常数、磁导率和电导率偏离理论值0.5%时,斗篷外的电场发生了明显变化;当材料的介电常数、磁导率和电导率为理论值时,不论在斗篷内放置什么特性的材料,也不论斗篷内壁上的边界条件如何,超材料椭圆柱斗篷都具有隐形作用。     

Natural convection of CuO–water nanofluid filled in a partially heated corrugated cavity:KKL model approach

In this article, flow and heat transfer inside a corrugated cavity is analyzed for natural convection with a heated inner obstacle. Thermal performance is analyzed for Cu O–water inside a partially heated domain by defining the constraint along the boundaries. For nanofluid analysis, the Koo and Kleinstreuer Li(KKL) model is implemented to deal with the effective thermal conductivity and viscosity. A heated thin rod is placed inside the corrugated cavity and the bottom portion of the corrugated cavity is partially heated. The dimensionless form of nonlinear partial differential equations are obtained through the compatible transformation along with the boundary constraint. The finite element method is executed to acquire the numerical solution of the obtained dimensional system. Streamlines, isotherms and heat transfers are analyzed for the flow field and temperature distribution. The Nusselt number is calculated at the surface of the partially heated domain for various numerical values of emerging parameters by considering the inner obstacle at cold, adiabatic and heated conditions. The computational simulation was performed by introducing various numerical values of emerging parameters. Important and significant results have been attained for temperature and velocities(in both x-and y-directions) at the vertically and horizontally mean positions of the corrugated duct.     

多孔介质预混燃烧中辐射属性影响的敏感性分析

建立了惰性多孔介质中预混合燃烧的数学模型,采用辐射传递的有限体积法求解固相能量方程中的辐射源项,研究多孔介质热辐射在燃烧系统中的作用,考察辐射属性(吸收系数和散射反照率)对轴向温度场和辐射热流量影响的敏感性。研究表明,辐射属性参数波动对预测结果影响明显,固体热辐射在多孔介质预混燃烧中的影响不可忽略。     

Discontinuous finite element method for radiative heat transfer in semitransparent graded index medium

To avoid the complicated and time-consuming computation of curved ray trajectories, a discontinuous finite element method based on discrete ordinate equation is extended to solve the radiative transfer problem in a multi-dimensional semitransparent graded index medium. Two cases of radiative heat transfer in two-dimensional rectangular gray semitransparent graded index medium enclosed by opaque boundary are examined to verify this discontinuous finite element method. Special layered and radial graded index distributions are considered. The predicted dimensionless net radiative heat fluxes and dimensionless temperature distributions are determined by the discontinuous finite element method and compared with the results obtained by the curved Monte Carlo method in references. The results show that the discontinuous finite element method has a good accuracy in solving the multi-dimensional radiative transfer problem in a semitransparent graded index medium.     

空间行波管收集极的热特性分析

利用有限元方法对一Ku波段空间行波管收集极的热特性进行了模拟计算,得到了收集极的温度分布图。分析比较了接触热阻和热辐射对热特性的影响,结果表明接触热阻明显地阻碍了热量的散失,使收集极整体温度有一定上升,而热辐射在使收集极各部分温度降低的同时,使温度分布更均匀。运用间接法进行了热-应力耦合分析,得到了收集极的位移场分布等值线图,进而确定该收集极采用的结构在热形变方面满足散热要求;并对在轴向加矩形翅片和在径向加圆形翅片两种散热方案进行了分析,得到了各自的优缺点,为散热方案的选择提供了依据,从而可以更好地提高散热效率。     

TE波辐射下超材料椭圆柱电磁斗篷特性分析

利用有限元方法分析了TE波辐射下,超材料椭圆柱斗篷的电磁特性。研究发现：当超材料的介电常数、磁导率和电导率偏离理论值0.5%时,斗篷外的电场发生了明显变化;当材料的介电常数、磁导率和电导率为理论值时,不论在斗篷内放置什么特性的材料,也不论斗篷内壁上的边界条件如何,超材料椭圆柱斗篷都具有隐形作用。     

多孔复合介质周期结构热传导和质扩散问题的多尺度数值方法

本文针对一类复杂的多孔复合介质的热传导和质扩散问题,给出具体的多尺度渐近展开公式,并在此基础上设计了有限元算法格式,它是宏观和细观相结合的数值方法。理论分析和数值实验均表明：多尺度数值方法对求解多孔复合介质周期结构的热传导和质扩散问题是可行的和有效的。     

一维梯度折射率介质光学特性的反演

在单个方波脉冲入射情况下,利用共轭梯度法对一维梯度折射率介质的折射率、吸收系数以及散射系数进行了反演.正问题采用间断有限元法求解,反问题的解则在正问题的基础上通过共轭梯度法得到.研究结果表明,利用单个方波脉冲入射情况下的时域半球反射率以及时域半球透射率作为测试值能够有效地反演一维梯度折射率介质的光学特性及其分布情况.     

曲边六面体矢量单元的改进与应用

改进了曲边六面体矢量单元的矢量基函数.简要回顾了原六面体矢量单元的定义之后,介绍了新的矢量基函数的构造方法,矢量基函数间的正交性因此有所改善,并有利于处理有限元Dirichlet边界条件.结合完全匹配层,将新单元应用于三维电磁散射问题,并进行了数值计算.     

有限体积法求解圆柱形散射介质内辐射与导热耦合换热

将谱带模型与有限体积解法相结合;求吸收、发射、散射性非灰介质圆柱体内辐射传递方程。考虑辐射强度场与热扩散温度场的耦合,将控制容积法与有限体积法结合,求解辐射与导热耦合换热。经与光线踪迹法、离散传递法的计算结果比较表明,谱带模型与有限体积解法相结合能处理多场耦合下非灰介质内的辐射换热。     

热激法光子晶体光纤光栅制备工艺中热传导特性研究

研究了基于结构性改变的光子晶体光纤光栅的热激法制备工艺,理论分析了此种工艺的成栅原理,采用热传导理论和有限元法研究了制备过程中光子晶体光纤中的温度场分布,以及包层空气孔结构和激光参数对成栅效果的影响.研究结果表明,利用光子晶体光纤包层空气孔周期性塌缩可以形成光栅;采用两点热激法时,能够实现能量在光纤径向均匀分布,轴向近似于高斯分布;包层气孔结构加速了成栅过程,相同光斑尺寸下,光纤塌缩所需激光功率随气孔层数和气孔半径的增大而减小;最后,对包层空气孔结构为1层到7层的光子晶体光纤热激过程进行仿真,得到了空气填关键词：光纤光栅光子晶体光纤热激法有限元法     

间断有限元方法求解一维非平衡辐射扩散方程

研究一维非平衡辐射扩散方程的数值方法.通过求解间断系数热传导方程的广义黎曼问题,得到一种带加权数值流量,基于该数值流量构造了一类新型的间断有限元方法.在时间离散上采用向后Euler方法,形成的非线性方程组采用Picard迭代求解.数值试验表明该方法具有捕捉大梯度的能力,而且能适应扩散系数间断的情形.     

Finite element formulation of the first- and second-order discrete ordinates equations for radiative heat transfer calculation in three-dimensional participating media

Two finite element methods (FEMs), FEDOM1 and FEDOM2 (standing for the first and the second finite element discrete ordinates methods, respectively), are formulated and numerically tested. The reference second-order discrete equation is modified in its scattering terms and is applied to the problems of absorbing/emitting and anisotropically scattering media by using the FEM. Numerical features of the developed FEMs are compared with one of the discrete ordinates interpolation method (DOIM), which uses a finite difference scheme. Prediction results of radiative heat transfer by these two FEMs are compared with reference solutions and verified in three-dimensional enclosures containing participating media. The results of FEDOM1 and FEDOM2 agree well with exact solutions for the problem of absorbing/emitting medium with various range of optical thickness. Generally, the two FEMs show more accurate results than DOIM. And FEDOM1 shows more accurate results than FEDOM2 in most of the test problems. Both of the developed FEMs show reasonable results compared with published Monte Carlo solutions for the tested absorbing/emitting and anisotropically scattering media. Although the FEDOM2 is not as accurate as the FEDOM1, it shows its own advantages that it reduces CPU time and memory space of dependent variable to half.