Molecule opacities of X^2Σ^+, A^2Π, and B^2Σ^+ states of CS^+

Carbon sulfide cation(CS^+) plays a dominant role in some astrophysical atmosphere environments. In this work, the rovibrational transition lines are computed for the lowest three electronic states, in which the internally contracted multireference configuration interaction approach(MRCI) with Davison size-extensivity correction(+Q) is employed to calculate the potential curves and dipole moments, and then the vibrational energies and spectroscopic constants are extracted. The Frank–Condon factors are calculated for the bands of X^2^+Σ^+–A^2Π and X^2Σ^+–B^2Σ^+systems, and the band of X^2Σ^+–A^2Π is in good agreement with the available experimental results. Transition dipole moments and the radiative lifetimes of the low-lying three states are evaluated. The opacities of the CS^+ molecule are computed at different temperatures under the pressure of 100 atms. It is found that as temperature increases, the band systems associated with different transitions for the three states become dim because of the increased population on the vibrational states and excited electronic states at high temperature.

Explicitly correlated configuration interaction investigation on low-lying states of SiO^+ and SiO

SiO^+ and SiO, which play vital roles in astrophysics and astrochemistry, have long attracted considerable attention.However, accurate information about excited states of SiO^+ is still limited. In this work, the structures of 14 Λ–S states and 30? states of SiO^+ are computed with explicitly correlated configuration interaction method. On the basis of the calculated potential energy curves of those Λ–S states and ? states, the spectroscopic constants of bound states are evaluated, which are in good agreement with the latest experimental results. The predissociation mechanism of B^2Σ^+ state is illuminated with the aid of spin–orbit coupling matrix elements. On the basis of the calculated potential energy curves and transition dipole moments, the radiative lifetime for each of low-lying vibrational states B^2Σ^+and A^2Π is estimated. The laser cooling scheme of SiO^+ is proposed by employing B^2Σ^+–X^2Σ^+ transition. Finally, the vertical ionization energy values from SiO(X^1Σ^+) to ionic states: SiO^+ , X^2Σ^+, B^2Σ^+, and A^2Π are calculated, which agree well with experimental measurements.

Finite-thickness effect of the fluids on bubbles and spikes in Richtmyer–Meshkov instability for arbitrary Atwood numbers

This paper investigates the finite-thickness effect of two superimposed fluids on bubbles and spikes in Richtmyer–Meshkov instability(RMI) for arbitrary Atwood numbers by using the method of the small parameter expansion up to the second order. When the thickness of the two fluids tends to be infinity, our results can reproduce the classical results where RMI happens at the interface separating two semi-infinity-thickness fluids of different densities. It is found that the thickness has a large influence on the amplitude evolution of bubbles and spikes compared with those in classical RMI. Based on the thickness relationship of the two fluids, the thickness effect on bubbles and spikes for four cases is discussed. The thickness encourages(or reduces)the growth of bubbles or spikes, depending on not only Atwood number, but also the relationship of the thickness ratio of the heavy and light fluids, which is explicitly determined in this paper.

C^1连续型广义有限元格式

C^1连续,即一阶导数连续. C^1连续型插值格式具有同时适用于离散PDE的弱形式与强形式的优点——即一种插值格式可以在使用PDE弱形式还是强形式之间做出选择,从而构造出更加高效的数值方法.由于单位分解广义有限元方法 (PUFEM, Babuka and Melenk (1997)),允许用户根据局部解的特征自定义任意高阶局部近似,具有精度高、程序实现与传统有限元相容性好的特点而受到广泛关注.但是,其总体近似函数的光滑性是由其所采用的单位分解函数——一般为标准有限元形函数——的光滑性所决定,因此多为C^0连续.如何在C^0连续标准有限元形函数的基础上,构造出满足C^1连续的总体近似函数,是一个仍未解决的问题.本文在作者前期研究的无额外自由度的单位分解插值格式的基础上,仅基于C^0标准有限元形函数,构造出至少C^1连续的无额外自由度单位分解格式.针对Poisson方程,讨论了该格式对PDE弱形式与强形式的离散.测试结果表明,方法可以同时用于弱形式与强形式的数值求解,而且可以在不改变网格和自由度数的前提下,获得高阶收敛.使用该插值格式的条件是:网格须是直角坐标网格(不要求均匀).该插值格式可以同时用于流体力学问题和使用欧拉背景网格求解动量方程的固体力学方法,如材料物质点法(material point method).对于强形式的欧拉网格求解,该插值格式与"差分"不同之处在于,它具有有限元一样的在任意点处进行"插值"的特点.对于弱形式的积分求解,由于该插值格式具有导数连续性,可以允许积分网格独立于插值网格.这一特点将使得弱形式的数值积分的实施更加灵活方便.

CONVERGENCE FROM AN ELECTROMAGNETIC FLUID SYSTEM TO THE FULL COMPRESSIBLE MHD EQUATIONS

We are concerned with the zero dielectric constant limit for the full electromagneto-fluid dynamics in this article. This singular limit is justified rigorously for global smooth solution for both well-prepared and ill-prepared initial data. The explicit convergence rate is also obtained by a elaborate energy estimate. Moreover, we show that for the wellprepared initial data, there is no initial layer, and the electric field always converges strongly to the limit function. While for the ill-prepared data case, there will be an initial layer near t = 0. The strong convergence results only hold outside the initial layer.