二维柱几何各向异性输运问题的数值计算方法

本文研究了求解二维输运问题的各向异性三角网间断有限元数值方法。详细讨论了求解过程,给出了解的预估公式,证明了数值解的存在唯一性和数值方法的稳定性。给出了各向异性问题的二维数值计算结果及钨——碳临界装置TCCA^[11]的二维数值计算结果。并与国内外S_N数值计算及实验结果进行比较,取得了令人满意的结果。     

管道声传播数值计算与实验结果比较

本文对管道声传播数值计算提出了一组判据,用来衡量数值计算的可靠性;对于具有壁面声阻抗间断的声传播问题,提出了一种处理方法,可保证数值计算的准确性。本文还给出了一组硬壁-软壁-硬壁二维管道声传播数值计算结果与实测结果比较曲线及几个算例,说明本文采用的数值计算模型是合适的,提出的判据及间断点处理方法是成功的。     

一种超高速发射实验装置的改进及其数值模拟

 以流体比容方法和三阶PPM方法为基础,给出了适用于三级气炮超高速发射过程数值模拟的多流计算方法和计算代码MFPPM。利用Sandia实验室一系列的实验装置及其结果对计算代码进行了验证和确认,获得了较好的数值模拟结果（其中最大相对误差为1.07%）,同时对冲击波物理与爆轰物理实验室设计的实验装置进行了数值模拟,计算结果与实验结果相差1.04%。为了更好地满足超高压下材料状态方程的测量,提出了一种带汇聚型的改进装置设计,并给出了相应的数值模拟结果。     

螺旋桨负荷噪声研究

运用非定常升力面方法和Goldstein声相似理论研究了螺旋桨的负荷噪声特性，给出了方法和理论结果的简要介绍．并运用数值计算方法对螺旋桨负荷噪声进行了计算分析，得到了一些具有工程实际意义的数值计算结果。     

小尺度封闭空间声场的无网格数值算法

无网格法是一种新兴的数值计算方法,具有不需要网格支持的特点。本文将该方法引入室内声学建模,推导了无网格声场数值计算模型,并将其应用于典型小尺度封闭空间内部声场的数值分析。针对声传递函数,将本方法与理论解和SYSNOISE计算结果进行了比较,并将计算的混响时间与实验测量结果作了对比,表明本方法具有良好的精度。     

色散光学模型中色散积分的解析和数值计算

利用解析和数值计算的方法计算了色散光学模型中色散积分的数值,并与Quesada等人的解析计算作了比较,结果显示两者结果基本一致。     

计算顺磁-铁磁相变临界磁场的一种方法

利用线性自旋波方法并结合Hellmann-Feynman定理引入一种计算量子磁性系统临界磁场的方法.计算两种特殊模型的临界磁场,并将理论结果与数值结果进行比较,理论值与数值结果高度吻合,验证了理论方法的准确性.     

强磁场中库仑相互作用的少体二维电子气的能量

本文建立了一种计算强磁场中二维电子气少体问题能量的理论方法,对最低Landau能级上有限电子体系作了数值计算,得到了一些新的结果,并且把计算方法推广到较高的Land-au能级,给出了第二Landau能级的数值结果。 关键词：     

铯原子高激发态Stark能级的数值计算和实验观察

利用数值方法计算了铯原子的Stark结构,经过对氢原子的数值计算与解析结果的对比,确认我们的计算程序是精确的.实验工作在超冷铯原子中完成,利用共振增强多光子电离光谱方法测量了铯原子n=16附近的Stark光谱,理论计算和实验结果相一致.     

解二维中子输运问题的三角网格配置法

本文研究了二维轴对称中子输运(包括各向同性散射和各向异性散射)问题的一种有限元数值方法。给出了一系列的数值计算结果,并与国内外的SN、间断有限元方法的数值结果及实验结果进行比较,取得了令人满意的结果。     

AN ANALYTICAL INVESTIGATION OF THE DIRECT MEASUREMENT METHOD OF ESTIMATING THE ACOUSTIC IMPEDANCE OF A TIME-VARYING SOURCE

This paper presents an analytical investigation of the direct method of measurement of the source impedance of a linear time-variant source. The direct method yields a frequency-dependent effective source impedance which is routinely used in a time-invariant analysis to determine the insertion loss of two different acoustic loads applied to the same source. In such an analysis the strength of the source is assumed to be invariant with load. It is shown here that there is generally no precise correspondence between the effective source impedance as given by the direct method and the characteristics of the actual source. Furthermore, it is shown that the effective source impedance values given by the direct method are functions of the acoustic load and the location of the injected signal as used in the measurement. However, the effective source resistance is always found to be positive, in accordance with experimental measurements. In this regard the direct method is an improvement on the indirect method, where physically implausible negative resistance values are often found. Finally, it is shown that the effective impedance values as given by the direct method when used with a time-invariant analysis give rise to very accurate predictions of insertion loss, even when the strength of the actual time-variant source is allowed to vary with the acoustic load.     

基于集成分析法的光机热一体化设计

光机热一体化设计是改进空间光学仪器设计,优化系统总体设计参数的重要方法。集成分析法对设计方案综合性能的动态评估是一体化设计的核心,通过分析系统热光学性能,指导修改设计参数,实现系统光/机/热同步设计。以某空间光学仪器主镜系统的热控设计为例,介绍了这种方法在实际工程中的应用。     

磁性晶体二级相变理论与镧系金属的磁结构

本文讨论了Ландау二级相变理论中的稳定性条件,阐明了Лифшиц提出的对称改变限制条件是不必要的,从而可以讨论过去认为无法讨论的镧系金属镝(Dy)等在Neél点的二级相变,解释了镧系金属镝等在Neél点以下螺旋磁结构的螺距与温度成线性关系。同时,利用空间羣表示论和热力势极小条件,建立了一个讨论磁结构的新方法,用这方法分析了镧系金属的磁结构,所得的结果与中子衍射实验相符合。     

DERIVATION OF THE LEHNERT FIELD EQUATIONS FROM GAUGE THEORY IN VACUUM: SPACE CHARGE AND CURRENT

It is shown that the Lehnert field equations in vacuum, with concomitant space charge and current, can be derived straightforwardly from standard gauge theory applied in vacuum, using the concept of covariant derivative and Feynman's universal influence. The Lehnert and Proca field equations are shown to be inter-related through the well-known de Broglie theorem, in which the photon mass can be interpreted as finite. These ideas go some way towards addressing the inconsistency inherent in Maxwell's famous displacement current, which has no concomitant vacuum space charge.     

STUDIES OF THE FOCUSING PROPERTIES OF A SPACE CHARGE LENS

A space charge lens has been designed and tested which can be used to focus intense ion beams at several tens of keV. The experimental results obtained can be interpreted with a simplified physical model. The existence of a space charge field and its strong focusing properties are tested experimentally. And it is shown that the relaxation time for the formation of space charge field is much less than 10 μs under our experimental conditions, thus the lens can be used to focus pulsed beams with length of several hundereds of μs of longer.     

化学工程中分形问题的正交配置法

将欧氏空间中的正交配置法扩展到分数维的情况,并将它应用于化学工程中具有分形结构的反应扩散问题的计算.并将计算结果与理论解的相应结果作了对比.     

平面电磁波在任意方向运动的介质-介质界面上的反射和透射

研究平面电磁波从一种介质入射到另一种以任意方向运动的介质时,在介质界面上发生的反射和透射现象,从Maxwell方程组、运动界面的边值关系和运动介质的本构关系出发,得到了反射波和透射波电磁场矢量与入射波电磁场矢量的关系的表达式、反射和透射系数,讨论了反射波、透射波与入射波之间的能量关系,电磁波对运动介质作用力的性质,并得出一些新的结论． 关键词：     

LATTICE FORMULATION OF THE PURE GAUGE FIELDS ON COSET SPACE

In this paper we construct the lattice formulation of the pure gauge fields in a coset space in the cases of a group G with non-trivial topological property and of a chiral group G, and present a local gauge invariant action of a quark system on a fourdimensional Euclidean space lattice, which has the continuum limit as usual. For non-chiral group with trivial topological property, it is shown that the coset pure gauge fields have no influence on the confinement properties of the quark system by calculating latt-ice current-current propagztor when the coset pure gauge fields are retained manifest1y.     

String field theory in curved space

The purely cubic action in the string field theory is shown to provide a set of equations of motion for background fields which agree to those obtained by the vanishing condition of ß-functions in the non-linear sigma model. Using the sigma model as an auxiliary tool, a systematic method for solving the string field theory in curved space is proposed.     

LATTICE FORMULATION OF THE PURE GAUGE FIELDS ON COSET SPACE

In this paper we construct a lattice formulation of the pure gauge fields on a coset space in the cases of a group G with non-trivial topological property and of a chiral group G, and present a local gauge invariant action of a quark system on a four-dimensional Euclidean space lattice, which has the continuum limit as usual. For non-chiral group with trivial topological property, it is shown that the coset pure gauge fields have no influence on the confinement properties of the confinement properties of the quark system by calculating lattice current-current propagator when the coset pure gauge fields remain manifest.