Basic function method A new numerical method on unstructured grids

A new numerical method-basic function method is proposed. This method can directly discrete differential operators on unstructured grids. By using the expansion of basic function to approach the exact function, the central and upwind schemes of derivative are constructed. By using the polynomial as basic function, applying the technique of flux splitting method and the combination of central and upwind schemes, the non-physical fluctuation near the shock wave is suppressed. The first-order basic function scheme of polynomial type for solving inviscid compressible flow numerically is constructed in this paper. Several numerical results of many typical examples for one-, two- and three-dimensional inviscid compressible steady flow illustrate that it is a new scheme with high accuracy and high resolution for shock wave. Especially, combining with the adaptive remeshing technique, the satisfactory results can be obtained by these schemes.     

关于参数型copula函数的拟合检验

在金融和保险中,copula函数是一种构造多元相关分布函数的有力工具．然而,怎样选择一个适当的copula函数用于拟合数据,并没有找到统一的方法．因此,基于copula函数的经验分布,我们提出了一种用于检验具有某种特定参数结构的copula函数拟合数据优良性的方法,并得到了此检验的渐近性质．由于该检验统计量的极限分布依赖未知参数,我们采用非参数蒙特卡罗方法确定临界值．我们做了一个简单的模拟来验证本文提出的检验方法的功效．     

Incremental Unknowns Method for Solving Three-Dimensional Convection-Diffusion Equations

We use the incremental unknowns method in conjunction with the iterative methods to approximate the solution of the nonsymmetric and positive-definite linear systems generated from a multilevel discretization of three-dimensional convection-diffusion equations. The condition numbers of incremental unknowns matrices associated with the convection-diffusion equations and the number of iterations needed to attain an acceptable accuracy are estimated. Numerical results are presented with two-level approximations, which demonstrate that the incremental unknowns method when combined with some iter- ative methods is very effcient.     

Superhydrophobic surfaces fabricated by microstructuring of stainless steel using a femtosecond laser

Fabrication of superhydrophobic surfaces induced by femtosecond laser is a research hotspot of superhydrophobic surface studies nowadays. We present a simple and easily-controlled method for fabricating stainless steel-based superhydrophobic surfaces. The method consists of microstructuring stainless steel surfaces by irradiating samples with femtosecond laser pulses and silanizing the surfaces. By low laser fluence, we fabricated typical laser-induced periodic surface structures (LIPSS) on the submicron level. The apparent contact angle (CA) on the surface is 150.3°. With laser fluence increasing, we fabricated periodic ripples and periodic cone-shaped spikes on the micron scale, both covered with LIPSS. The stainless steel-based surfaces with micro- and submicron double-scale structure have higher apparent CAs. On the surface of double-scale structure, the maximal apparent CA is 166.3° and at the same time, the sliding angle (SA) is 4.2°.     

Corrosion resistance and blood compatibility of lanthanum ion implanted pure iron by MEVVA

Pure iron is a potential material applying for coronary artery stents based on its biocorrodible and nontoxic properties. However, the degradation characteristics of pure iron in vivo could reduce the mechanical stability of iron stents prematurely. The purpose of this work was to implant the lanthanum ion into pure iron specimens by metal vapor vacuum arc (MEVVA) source at an extracted voltage of 40 kV to improve its corrosion resistance and biocompatibility. The implanted fluence was up to 5 × 10¹⁷ ions/cm². The X-ray photoelectron spectroscopy (XPS) was used to characterize the chemical state and depth profiles of La, Fe and O elements. The results showed lanthanum existed in the +3 oxidation state in the surface layer, most of the oxygen combined with lanthanum and form a layer of oxides. The lanthanum ion implantation layer could effectively hold back iron ions into the immersed solution and obviously improved the corrosion resistance of pure iron in simulated body fluids (SBF) solution by the electrochemical measurements and static immersion tests. The systematic evaluation of blood compatibility, including in vitro platelets adhesion, prothrombin time (PT), thrombin time (TT), indicated that the number of platelets adhesion, activation, aggregation and pseudopodium on the surface of the La-implanted samples were remarkably decreased compared with pure iron and 316L stainless steel, the PT and TT were almost the same as the original plasma. It was obviously showed that lanthanum ion implantation could effectively improve the corrosion resistance and blood compatibility of pure iron.     

ITER超导纵场线圈内馈线系统传热分析

ITER超导纵场线圈内馈线系统位于主机杜瓦内,由18个盒体分别悬挂于相应纵场磁体终端,通过连接件组成多边形环。通过对内馈线在整个装置降温收缩过程的分析,采用有限元分析法对内馈线稳态及瞬态温度场进行数值模拟,得到内馈线的热负荷值、温度分布、温度及变形的时间历程曲线,为内馈线冷却方案的确定和降温时间的预测等提供了可靠验证。     

非化学计量配比La0.67Sr0.33-x□xMnO3的结构和输运性质的研究

利用固相反应法制备了非化学计量配比的类钙钛矿锰氧化物La_0.67Sr_0.33-x□_xMnO₃(0<x≤0.33),研究了A位空位对材料的晶体结构和输运性质的影响.对粉末X射线衍射谱的Rietveld全谱拟合表明样品均为单相,在x=0到x=0.33空位浓度范围内晶体对称性没有发生变化,均具有三方对称性,空间群为R3c< 关键词： 非化学计量配比锰氧化物 Rietveld全谱拟合 结构分析 输运性质     

利用电子束蒸发制备铝隧道结工艺研究

采用电子束蒸发的方法在Si片上制备超导铝(Al)薄膜。利用X射线衍射和直流四电极电阻法分别测试了厚度从100埃到5000埃的Al薄膜物向组成,超导转变温度(Tc)和临界电流密度(Jc)。当Al薄膜厚度大于500埃时,超导转变温度Tc=1.2K。电子束蒸发制备的Al薄膜性能良好,具有较高的结晶质量,为制备Al超导隧道结奠定了良好基础。对小面积的Al超导隧道结工艺进行了研究,该超导隧道结两层的超导体材料为Al薄膜,中间势垒层材料为Al2O3。其中Al薄膜利用电子束蒸发制备,势垒层通过直接氧化Al薄膜表面实现,该工艺和采用直接蒸发氧化物薄膜工艺相比不仅简单而且能有效防止势垒层不连续造成的弱连接。     

氧等离子体处理对纳米二氧化硅溶胶涂覆高强、高模聚乙烯纤维拉伸性能的影响

基于艾琳方程,提出用于定量分析纤维表面和纳米涂覆层间的纳米界面结构的理论模型.实验结果表明,纤维高分子链段受力塑性变形时,纳米界面结构内纳米微粒阻碍其形貌变化产生热激活体积,该热激活体积是纳米界面结构性能的重要表征;氧等离子体处理对纳米二氧化硅溶胶涂覆高强、高模聚乙烯纤维有增韧作用.由不同处理样品的扫描电子显微镜图片和傅里叶变换红外光谱曲线对比分析可知,经氧等离子体处理纳米二氧化硅溶胶涂覆高强、高模聚乙烯纤维的纳米涂覆层纳米颗粒分布均匀,纳米颗粒还填补纤维表面微观缺陷,活性官能团被引入到纤维表面. 关键词： 激活体积 氧等离子体 高强、高模聚乙烯纤维 纳米界面结构     

交叉色关联噪声驱动的单模激光系统统计性质研究

采用交叉色关联的加性色噪声和乘性色噪声驱动的单模激光立方模型,通过诺维科夫理论和福克斯近似以及斯特拉托诺维奇近似,得到反映激光统计性质的强度关联函数C的表达式;研究关联时间τ、净增益系数a₀和交叉关联强度λ对强度关联函数C的影响.数值模拟发现,在阈值以上（a₀>0）时,关联函数C随关联时间τ的增大而增大;在阈值以下（a₀<0）时,关联函数C随关联时间τ的增大而减小.无论在阈值以上还是阈值以下,关联函数C均随交叉关联强度λ的增大而减小.在C-a₀曲线上存在单峰. 关键词： 单模激光 交叉关联 强度涨落 强度关联函数