Microphysics: Equation of State

The equation of state is one of the three fundamental ingredients used to construct stellar models. The plasma of the interiors of stars such as the Sun is only slightly non-ideal. However, the extraordinary accuracy of the helioseismological data requires refined equations of state. It turned out to be necessary to include a Coulomb correction, commonly evaluated in the Debye-Hückel approximation. Higher-order non-ideal effects have implications as well, both for plasma physics and for solar physics. As a typical example, the recently studied thermodynamic consequence of excited states in compound particles is discussed. This effect is of considerable relevance in the helioseismic determination of the helium abundance in the solar convection zone. This revised version was published online in June 2006 with corrections to the Cover Date.     

On the Composition of the Solar Interior Rapporteur Paper I

Standard solar models, although they are free from the influence of much of the fluid motion that is bound to be present in the Sun, have been shown by helioseismology to represent the spherically averaged structure of the Sun amazingly well. This state of affairs has come about after painstaking refinements by a great many people of the pertinent microphysics, including that which controls the equation of state, the opacity, the nuclear reaction rates and the diffusion that inhibits gravitational segregation of chemical elements. It has instilled confidence in the modellers in being able to predict the composition of the solar interior. But there are consequences of the flow, related particularly to redistribution of chemical species, that can be difficult to identify observationally, yet which may degrade any inferences we might make. Their potential presence must at least be acknowledged by anyone who tries to asses the reliability of the models. This report summarizes the discussions in the preceding pages of this volume of the current theoretical and observational status of the subject, pointing to many of the caveats that have been raised, and attempting at the same time to put them into a seemingly coherent discourse in the context of our present understanding of the workings of the solar interior. This revised version was published online in June 2006 with corrections to the Cover Date.     

二维欧拉方程高分辨正性保持差分格式

针对二维欧拉方程研究了一类高分辨正性保持波尔兹曼型差分格式,首先分析了波尔兹曼方程和欧拉方程之间的关系;然后,利用一种特殊的插值技术构造了一类高分辨波尔兹曼型差分格式.最后通过数值实验验证了格式的实用性和有效性.     

求解弹性平面问题新的有限元应力法

本文提出一种用于求解弹性平面问题新的有限元应力法     

HIGH TEMPERATURE RHEOLOGICAL BEHAVIOR OF FSJ JOINTED REGION FOR 7022ALUMINUM ALLOY

The Hopkinson pressure bar tests for base metal and friction stir jointing（FSJ） jointed region of 7022 a- luminum alloy are carried out at different temperatures and strain rates. The temperature is 30--400 ℃ and the strain rate is 1 200-5 000 s 1. High strain rate for base metal and FSJ jointed region of 7022 aluminum alloy are studied. The corresponding stress-strain curves are obtained. The results show that the flow stresses of base metal and FSJ jointed region of 7022 aluminum alloy decline with the increase of temperature and increase with the in- crease of strain rate. Furthermore, the constitutive equation for base metal and FSJ jointed region of 7022 alumi- num alloy at high temperature and high strain rate is obtained based on Johnson-Cook model.     

基于欧拉方程的机翼设计方法及应用

以Takanashi提出的三维机翼设计理论为基础，研究与发展了一个基于欧方程和“正－反迭代、余量修正原理”的机翼设计方法。用改进的无限插值方法生成绕机翼的O－O贴体网格，采用三维欧拉方程作为充动分析计算的基本方程，该设计方法已用于某无人机机翼和一个超临界机翼设计，设计结果达到了预期的目标。     

局部应变法预测飞机结构带孔部件疲劳寿命

介绍了应用Levenberg-Marquardt迭代法计算局部应力和局部应变的工作.Levenberg-Marquardt迭代法是求解超越方程的一种常用数学方法,但是缺点是程序比较复杂,计算效率较低,因此本文目的是找到一种程序实现简单、计算效率高、计算精度满足要求的计算方法,选择了二分法,并且对比分析了二分法和Leve...     

基于误差估计的伴随网格自适应方法

网格自适应是一种有效减少解与网格相关性,改善计算结果的重要途径。给出了一种基于误差估计的伴随网格自适应计算技术,定义了基于误差估计的自适应准则,给出了非结构四面体网格单元细化剖分规则,以及一般的网格自适应流程,介绍了一种基于Rechardson外推的网格收敛技术,运用本文提供的方法对NLR7301翼型进行了数值计算研究,数值试验表明给出的网格自适应具有较高的可有效改善计算结果。     

基于伴随方程方法的非结构网格自适应技术及应用

对基于伴随方程的网格自适应技术的基本原理进行了研究,构造并实现了基于流场伴随方程的非结构网格自适应探测器,利用局部加密网格的办法,建立了基于Euler方程的无粘伴随自适应能力。对于粘性流动问题,提出首先应用无粘计算和伴随自适应技术从基准网格自动生成具有较好网格分辨率的非结构自适应网格,然后采用层推进法自动生成粘性计算网格的求解策略。采用RAE2822二维翼型和ONERA-M6三维机翼对所建立的无粘伴随自适应方法进行了验证,并应用所提出的方法和策略,对第二届国际涡流试验项目(VFE-2)中的65°尖前缘三角翼大攻角涡流场进行了数值模拟。对比计算结果表明,所建立的非结构网格伴随自适应方法是可行的和有效的。     

三体系统中引力拖车的偏置非开普勒轨道研究

为了研究太阳-小行星-引力拖车三体系统中引力拖车的轨道运动问题,采用柱坐标系下的Hill方程描述了三体系统中引力拖车的运动情况,应用平均化方法消除周期项的影响,得到平均偏置非开普勒轨道的表达式,并研究了轨道稳定性与引力拖车最大有效拉力等问题.研究表明:三体系统中,在小行星飞行方向（或反方向）上存在偏置非开普勒轨道;与二...