微重力下悬浮区的热毛细对流及其控制

本文主要定量研究用沿熔体表面喷射惰性气体的方法来控制Marangoni对流,抑止振荡现象的机理与可行性.导出了支配悬浮区热毛细对流的基本方程与正确边界条件,给出了粘性与边界层情况的对应关系,并应用ADI方法对微重力下悬浮区热毛细对流进行了数值模拟,讨论了各种参数(如Ma,R_σ,Gr)对于流动的影响.     

Lattice Bhatnagar-Gross-Krook Simulations of Hydromagnetic Double-Diffusive Convection in a Rectangular Enclosure with Opposing Temperature and Concentration Gradients

The temperature-concentration lattice Bhatnagar-Gross-Krook （TCLBGK） model with a robust boundary scheme is developed for two-dimensional hydromagnetic double-diffusive convective flow of a binary gas mixture in a rectangular enclosure, in which the upper and lower walls are insulated, while the left and right walls are constant temperature and constant concentration, and a uniform magnetic field is applied in the x-direction. In the model the velocity, temperature and concentration fields are solved by three independent LBGK equations, which are combined into a coupled equation for the whole system. In our simulations, we take the Prandtl number Pr = 1.0, the Lewis number Le = 2.0, the thermal Rayleigh number RaT = 10^5, and the aspect ratio A = 2 for the enclosure. The numerical results are found to be in good agreement with those of previous studies.     

STEFAN PROBLEM WITH NONLINEAR BOUNDARY FLUX AND INTERNAL CONVECTION OF A MATERIAL

A Stefan problem with nonlinear boundary flux and internal convection of a material are considered. The existence, uniqueness and continuous dependence of globally weak solution of this problem are obtained. This paper extends the results of Fahuai Yi and T.M.Shih, relaxes restrictions that does not be to accord with reality very much on internal convection and boundary conditions in their articles.     

确定地下水污染强度的反问题方法

探讨了山东省淄博市张店区沣水南部区域地下水的硫酸污染问题 .根据观测井点的浓度数据 ,将硫酸污染强度的识别问题作为一个已知终值数据的源项反问题 .应用积分恒等式方法分析了未知源函数与已知数据间的数据相容性 ,进而基于最优化策略进行了数据反演 ,计算结果与实际估计值基本吻合     

IMPLICIT DIFFERENCE APPROXIMATION FOR A TIME FRACTIONAL ADVECTION-DISPERSION EQUATION

In this paper, a time fractional advection-dispersion equation is considered. From the relationship between the Caputo derivative and the Grunwald derivative, the Caputo derivative is approximated by using the Griinwald derivative. An implicit difference approximation for this equation is proposed. We prove that this approximation is unconditionally stable and convergent. Finally, numerical examples are given.     

物体散热数据处理及散热机理比重探讨

一、问题的提出本人对测定不良导体导热系数实验的数据处理曾提出一改进方法，即用最小二乘法拟合的曲线来计算导热系数，而不是直接用实验点徒手描绘的散热降温曲线”’．分别基于空气对流散热和辐射散热所进行的数据处理得到的散热降温曲线具有不同特点，它们反映了散热的不同方面．单独用哪一种都不能准确地描述散热降温过程．但由于该实验中的温度测量范围比较小，不足依之为据定出所涉及的两种机理在降温过程中各占的比重．本文就在较大的温度范围内定量区分两种机理在散热过程中各自所占比重的可能性进行了探讨．二、理论分析与周围其…     

质子交换光波导生长动力学研究

分析了质子交换光波导的生长动力学并给出了波导层厚度与生长时间的计算公式。     

二氧化碳在正辛烷、正十四烷中对流扩散系数的测定

 建立了由细管驱替实验测定驱替气体在油藏流体中的对流扩散系数的测定方法。测定了CO₂分别在正辛烷、正十四烷中的对流扩散系数，并研究了驱替速度及正辛烷、正十四烷分子量对扩散的影响。     

Czochralski晶体生长中非定常热对流过程的数值模拟

本文应用有限控制体算法,采用中心差分格式处理具有Boussinesq近似的N-S方程的对流和扩散通量项,计算了无坩埚和籽晶旋转情况下CZ晶体生长中熔体的非定常自然对流。数值计算的结果得到了某些典型时刻的流场结构和温度分布情况。结合计算得到的CZ熔体总动能和总热能随时间变化的规律,分析了流场和温度场的不稳定变化过程。此外,计算结果还给出了在非稳定热对流影响下的晶-液界面热通量的变化。非定常计算的结果对于研究自然对流和CZ单晶生长,具有理论和实际意义。 关键词：     

A robust discontinuous Galerkin method for solving convection-diffusion problems

In this paper, a new DG method was designed to solve the model problem of the one-dimensional singularly-perturbed convection-diffusion equation. With some special chosen numerical traces, the existence and uniqueness of the DG solution is provided. The superconvergent points inside each element are observed. Particularly, the 2p ＋ 1-order superconvergence and even uniform superconvergence under layer-adapted mesh are observed numerically.