Numerical solutions of incompressible Euler and Navier-Stokes equations by efficient discrete singular convolution method

An efficient discrete singular convolution (DSC) method is introduced to the numerical solutions of incompressible Euler and Navier-Stokes equations with periodic boundary conditions. Two numerical tests of two-dimensional Navier-Stokes equations with periodic boundary conditions and Euler equations for doubly periodic shear layer flows are carried out by using the DSC method for spatial derivatives and fourth-order Runge-Kutta method for time advancement, respectively. The computational results show that the DSC method is efficient and robust for solving the problems of incompressible flows, and has the potential of being extended to numerically solve much broader problems in fluid dynamics. The project supported by the National Natural Science Foundation of China (No.19902010).     

三维接触问题的非光滑算法

给出了一种非光滑算法直接用于求解三维摩擦接触问题的不可微非线性互补模型,不再对模型进行光滑化处理,使算法更加简单。文中对非光滑算法的收敛性给出了严格的数学证明,数值实验表明该算法列式简单,但与光滑化算法同样有效。     

固液萃取分离分光光度法测定痕量锰(Ⅱ)的研究

描述了石蜡萃取分光光度测定痕量锰过程.在pH=8.5～10.0范围内,锰和1-(2-吡啶偶氮)-2-萘酚显色络合物能定量被石蜡萃取,将萃取的固相体系溶解在CHCl3中,在λ=570 nm处进行光度测定.锰量在0～10 μg/10 mL范围内符合比耳定律,线性回归方程为y=0.003 2+0.0486 x.方法应用于实际样品中痕量锰测定,结果良好.     

铜(Ⅰ)配合物的不对称催化1,4-共轭加成反应

以两个新型手性配体S-(+)-2-(2-吡啶酰胺基)-2'-(二苯基膦基)-1,1'-联苯(1a)和S-(+)-2-(6-甲基-2-吡啶酰胺基)-2'-(二苯基膦基)-1,1'-联萘(1b)的铜配合物催化的二乙基锌对开链烯酮的1,4-共轭加成反应的研究。以1a为标准配体,查耳酮为代表性底物,考察了溶剂、催化剂前体等因素对反应的影响。在优化条件下,系统研究了以[Cu(OTf)](C~6H~6)~1~/~2/1b为催化剂,甲苯-二氯乙烷为溶剂时进行了二乙基锌对七个开链烯酮的1,4-共轭加成反应,取得了突破性进展,获得最高达98%e.e.值的加成产物。     

Highly effective methane conversion to aromatic hydrocarbons by means of microwave and rf-induced catalysis

Conversion of methane to higher hydrocarbon products, in particular, aromatic hydrocarbons has been achieved with good methane conversion and selectivity to aromatic products over heterogeneous catalysts using both high power pulsed microwave and rf energy. For example, under microwave irradiation > 85% conversion of methane and 60% selectivity to aromatics could be achieved. Cu, Ni, Fe and Al metallic materials are highly effective catalysts for the aromatization of methane via microwave heating; however, with a variety of supported catalysts the major products were C₂ hydrocarbons and the conversion of methane was low. The use of sponge, wire and net forms of these metal catalysts was found advantageous in effective methane conversion. The reactions are considered to be free radical in nature and to proceed through an intermediate stage involving formation of acetylene. The influence of catalyst nature and configuration, as well as the microwave and rf irradiation parameters on the reaction efficiency and product selectivity has been examined in both batch and continuous flow conditions.     

Calix[4]arenes Bridged with Two Different Crown Ether Loops: Influence of Crown Size on Metal Ion Recognition

A series of calix[4]arene-bis-crownethers were synthesized in a fixed 1,3-alternateconformation with good yields by the reaction of amonocyclic calixcrown ether with multi-ethyleneglycoldi-p-toluenesulfonate in the presence of cesiumcarbonate. In the preparation of the monocycliccalixcrown ethers (1 and 2), the use ofpotassium carbonate as a base provided the best yieldregardless of the template concept. In two phaseextraction and competitive transport experiments forligand-metal complexation, calix[4]arene biscrown(5) provided the best selectivity for potassiumion. When a calixbiscrown ether (4) bearingdifferent sized crown ether loops coordinates to K⁺and Cs⁺, respectively, the changes of peak splittingpatterns and chemical shift on ¹H NMR spectra aredependent on the complexed metal ion species.     

Nonsteroidal Constituents from Solanum Incanum L.

Sixteen compounds were isolated from the aerial parts of Solanum incanum L. These compounds included ten flavonoids ( 1‐10 ), chlorogenic acid ( 11 ), adenosine ( 12 ), benzyl‐O‐β‐D‐xylopyranosyl(1→2)‐β‐D‐glucopyranoside ( 13 ), and three phenylalkanoic acids ( 14‐16 ). The structures were determined from their physical and spectral data. Among these compounds, kaempferol 3‐O‐(6″′‐O‐2,5‐dihydroxycinnamoyl)‐β‐D‐glucopyranosyl (1→2) β‐D‐glucopyranoside ( 10 ) was identified as a new compound.     

曙红Y与牛血清蛋白作用的荧光光谱

1引言蛋白质测定在临床医学和生命科学研究中有重要意义,这方面的研究引起人们的广泛兴趣,最常用的方法是用染料结合法,它们在酸性介质与蛋白质作用形成复合物,而后进行测定,荧光法测定蛋白质文献报道较少。在pH2．53的介质中,我们研究曙红Y与牛血清蛋白作用光谱,曙红Y最大吸收峰从513nm红移到529nm,荧光光谱发生显著变化,540nm（激发光波长308nm）荧光猝灭,其摔灭程度与BSA浓度成正比,据此拟定测定牛血清蛋白的荧光分析方法。该方法线性范围宽0－2．5mg/L,灵敏度高检出限可达2．8μg/L（3σ）,选择性好常见物质不干扰测定…     

Orlicz空间中Kantorovi(c)算子逼近等价定理

以带权函数的连续模为工具,讨论了Ｋａｎｔｏｒｏｖｉｃ算子在Ｏｒｌｉｃｚ空间中逼近的正、逆定理,进而得到其等价刻划。     

铁磁链Landau-Lifshitz方程的显式差分法

正如在研究流体动力学时,Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程起着十分重要的作用一样,在对于非平衡态磁学的研究中,描述连续铁磁体自旋场发展过程的 Ｌａｎｄａｎ－Ｌｉｆｓｈｉｔｚ方程［１］起着十分重要的作用［２］．一九九三年,美国和印度签署了一个大约 ２８０万美元的合作研究计划,在三年的时间里,对Ｌａｎｄａｕ－Ｌｉｆｓｈｉｔｚ铁磁链方程进行研究．在无阻尼的情况下,它为一完全可积的孤立子系统［３,４,５］。很多物理学家研究了它的孤立子解的存在性、逆散射方法以及相互碰撞［３,４,５］．关于解的存在性, Ａｌｏｎ…