共轭梯度法求解多宗量瞬态热传导反问题

提出瞬态热传导反问题中热物性参数和边界条件多宗量反演的一般数值求解模式,导出了敏度计算公式,并用共轭梯度法求解,探讨了测点数目、测量误差和变量初值对反演结果的影响,并进行了数值验证.     

Exact finite element method

In this paper,a new method,exact element method for constructing finite element,ispresented.It can be applied to solve nonpositive definite or positive definite partialdifferential equation with arbitrary variable coefficient under arbitrary boundarycondition.Its convergence is proved and its united formula for solving partial differentialequation is given.By the present method,a noncompatible element can be obtained and thecompatibility conditions between elements can be treated very easily.Comparing the exactelement method with the general finite element method with the same degrees of freedom,the high convergence rate of the high order derivatives of solution can be obtained.Threenumerical examples are given at the end of this paper,which indicate all results canconverge to exact solution and have higher numerical precision.     

热流体力学及其应用

热流体力学是一门涉及传热学、流体力学和热力学的交叉学科,并把重点放在讨论热过程对流体流动的影响。它由5部分组成:①热阻力。在某些情况下热阻力的存在对通道中的流体流量和换热系数有重大影响。借助于热阻力系数的定义和分析表达式,不仅可以预示单相通道流中的压力降,而且能用简便的方法预示气-液两相通道流中的压力降和临界热流。②热绕流。运用“虚质量源”和“热偶极子”的概念,对热绕流现象进行了分析和数值研究。它可在热除尘、粒子样品收集和热设备中流量分配等方面获得广泛的应用。③热驱动。不仅在重力场中,而且在如离心力场、表面张力场和电磁力场中也存在着热驱动流。着重讨论了流体运动的起因及其带来的后果,它包括环境污染、传热强化和同位素分离系数的提高等,④热不稳定性。重点讨论了热不稳定性的物理机理。用各种动力学方法所得到的流动不稳定性的临界准则对材料加工、热减阻、水源热污染等都是十分重要的。⑤热优化。研究了基于熵产生最小(热力学第二定律)为目标函数的流动和传热过程的优化。探讨了在一定条件下热力学第一定律效率和第二定律效率的内在联系。      

The Heat Kernel on Constant Negative Curvature Space Form

Let M be a n-dimensional simply connected, complete Riemannian manifold with constant negative curvature. The heat kernel on M is denoted by H^M_t(x, y) = H^M_t(r(x, y)), where r(x, y) = dist(x, y). We have the explicit formula of H^M_t(x, y) for n=2, 3, and the induction formula of H^M_t(x, y) for n ≥ 4^{[-1]}. But the explicit formula is very complicated for n ≥ 4. ln this paper we give some simple and useful global estimates of H^M_t(x, y), and apply these estimates to the problem of eigenvalue.     

高频热等离子体发生器数值模拟最近进展

高频感应耦合热等离子体发生器中的流动与传热和电磁场强烈耦合,它的数值模拟经历了从最简单的一维模型到比较完善的二维数值模拟的几个发展阶段.以前的基于一维非自洽电磁场解的模拟方法,最近已为包括自洽电磁场解的新方法所取代.新方法还能容易地推广到三维情形,从而为发生器的性能预估及参数优化提供有力的工具.本文概述了最近这一进展的产生背景及研究情况.      

R(-)四氢噻唑-2-硫酮-4-羧酸对D,L-氨基酸酯拆分的研究

以新手性拆分试剂R(-)四氢噻唑-2-硫酮-4-羧酸[简称R(-)TTCA]对D,L-氨基酸酯进行手性拆分,分别得到(R)TTCA氨基酸酯盐1a_1f([α]_D²⁰＝-30.40°～-42.70°)及光学活性氨基酸酯2a-2f,其光学纯度为35.4%～75.8%.由1a_1f在碱存在下分解出2a-2f的对映体3a-3f,光学纯度为39.50%～69.10%.用半经验的量子化学PM3方法研究了氨基的碱性、中间产物铵盐生成热和稳定性.     

湍流相干结构机理研究(Ⅲ)——湍流拟序结构的统计及动力模型及其对传热影响研究

在文献[1]、[2]的启发下,本文建立一个零压梯度下,考虑局部产生以及外来扰动涡旋的壁湍流边界层大涡拟序结构的统计及动力学模型.在此基础上对充分发展的宽明渠流动中壁面附近的热扩散进行了数值模拟,建立了边界层拟序脉动速度和温度的数据库,发现了与速度快慢条相对应的高低温流条及其随时间在展向的摆动.数值模拟结果与前人的计算和实验结果吻合很好.     

SDKZ模型及其解的稳定性研究

根据强混合型河口海域的水流条件及边界条件特点,针对温排水污染源,从物理机制上提出了三维-多层二维平面扩散综合模型,并对实际河口海域流速场和温度场进行了模拟计算。     

新型含磷无机离子交换剂研究(Ⅵ)——非晶态交换剂六偏磷酸锡的结构分析

通过大角度X射线散射分析,求出了新型无机离子交换剂六偏磷酸锡的径向分布函数,推断其化学结构。应用此结构较好地解释了交换剂的离子交换性质。     

The establishment of boundary integral equations by generalized functions

By the theory of generalized functions this paper introduces a specific generalized function _p by which, together with its various derivatives, the boundary integral equations and its arbitrary derivatives of any sufficiently smooth function can be established. These equations have no non-integral singularities. For a problem defined by linear partial differential operators, the partial differential equations of the problem can always be converted into boundary integral equations so long as the relevant fundamental solutions exist.This paper is partial fulfilment of the first author's doctorial dissertation and the second author is the endviser.