Shock Wave Interaction with the Magnetopause

The magnetopause is in continuous motion and shock waves and impulsive acceleration events can occur. As an example, we show that the interaction of an interplanetary shock with the bow shock can generate a shock wave that after passing through the magnetosheath can interact with the magnetopause. In fluid dynamics, when a shock wave encounters a fluid discontinuity, the interface may become unstable and form bubbles and spikes. We consider this Richtmyer-Meshkov instability in magnetohydrodynamics. At the dayside magnetopause, the instability tends to be stabilized by the magnetic field. However, the shock wave interaction can initiate magnetic field reconnection for the southward IMF, which may be important in strong interplanetary shock events. This revised version was published online in August 2006 with corrections to the Cover Date.     

Theoretical Advances in Prominence Seismology

Prominence seismology is a rapidly developing topic which seeks to infer the internal structure and properties of solar prominences from the study of its oscillations. An extensive observational background about oscillations in quiescent solar prominences has been gathered during the last 70 years. These observations point out the existence of two different types of oscillations: Flare-induced oscillations (winking filaments) which affect the whole prominence and are of large amplitude and small amplitude oscillations which seem to be of local nature. From the theoretical point of view, few models have been set up to explain the phenomenon of winking filaments while, on the contrary, for small amplitude oscillations a large number of models trying to explain the observed features have been proposed.     

Bayesian coronal seismology

In contrast to the situation in a laboratory, the study of the solar atmosphere has to be pursued without direct access to the physical conditions of interest. Information is therefore incomplete and uncertain and inference methods need to be employed to diagnose the physical conditions and processes. One of such methods, solar atmospheric seismology, makes use of observed and theoretically predicted properties of waves to infer plasma and magnetic field properties. A recent development in solar atmospheric seismology consists in the use of inversion and model comparison methods based on Bayesian analysis. In this paper, the philosophy and methodology of Bayesian analysis are first explained. Then, we provide an account of what has been achieved so far from the application of these techniques to solar atmospheric seismology and a prospect of possible future extensions.     

关于建立高阶差分格式的问题

为了能在不太密的网格上捕捉到流场的细致结构。通常采用高阶精度的差分 式进行数值模拟。为能抑制计算中和在激波附近产生的虚假波动,本文从物理构思出发,提出了建立高阶格式的两个基本原则,作者称之为抑制波动的原则和稳定性原则。     

Fundamental (f) oscillations in a magnetically coupled solar interior-atmosphere system – An analytical approach

Solar fundamental (f) acoustic mode oscillations are investigated analytically in a magnetohydrodynamic (MHD) model. The model consists of three layers in planar geometry, representing the solar interior, the magnetic atmosphere, and a transitional layer sandwiched between them. Since we focus on the fundamental mode here, we assume the plasma is incompressible. A horizontal, canopy-like, magnetic field is introduced to the atmosphere, in which degenerated slow MHD waves can exist. The global (f-mode) oscillations can couple to local atmospheric Alfvén waves, resulting, e.g., in a frequency shift of the oscillations. The dispersion relation of the global oscillation mode is derived, and is solved analytically for the thin-transitional layer approximation and for the weak-field approximation. Analytical formulae are also provided for the frequency shifts due to the presence of a thin transitional layer and a weak atmospheric magnetic field. The analytical results generally indicate that, compared to the fundamental value ($\omega =\sqrt{\mathit{gk}}$), the mode frequency is reduced by the presence of an atmosphere by a few per cent. A thin transitional layer reduces the eigen-frequencies further by about an additional hundred microhertz. Finally, a weak atmospheric magnetic field can slightly, by a few percent, increase the frequency of the eigen-mode. Stronger magnetic fields, however, can increase the f-mode frequency by even up to ten per cent, which cannot be seen in observed data. The presence of a magnetic atmosphere in the three-layer model also introduces non-permitted propagation windows in the frequency spectrum; here, f-mode oscillations cannot exist with certain values of the harmonic degree. The eigen-frequencies can be sensitive to the background physical parameters, such as an atmospheric density scale-height or the rate of the plasma density drop at the photosphere. Such information, if ever observed with high-resolution instrumentation and inverted, could help to gain further insight into solar magnetic structures by means of solar magneto-seismology, and could provide further insight into the role of magnetism in solar oscillations.     

Kink mode m = 1 in magnetic tube with discontinuous magnetic field

In this paper, we study conditions of realization and stability of kink modes with azimuthal wave numbers $m=\pm 1$ in cylindrical plasma flex with twisted magnetic field and homogeneous current along its axis. We assume permanent axial magnetic field both inside and outside the flex, surrounded by currentless plasma. Azimuthal magnetic field decreases inversely proportional to the distance from the boundary beyond the flex. We derived dispersion equations for stable and unstable modes in approximation of “thin” plasma flex. The analysis of equations has been provided for the case of discontinuous axial magnetic field on flex’s boundary. Conditions of propagation of wave modes have been defined. It was shown, that unstable modes can be implemented in certain interval of longitudinal wavenumbers. Results can be applied for the interpretation of solar magnetic tubes behavior, using measurements, provided by spacecrafts.     

Calculation of an unsteady jet flow around the plate cascade

In the framework of the general theory for unsteady weakly disturbed fluid flows with free boundaries, a problem is solved to calculate a jet flow around the cascade of plates executing the harmonic oscillations. We developed a program that enables us for the first time to carry out systematic calculations of flow characteristics depending on arbitrary values of determining parameters.     

太阳色球层-日冕中扰动的传播

为了模拟太阳色球层、过渡层和日冕中扰动的传播特征,本文在一自洽的非等温、非均匀等离子体初态下,应用二维时变可压缩磁流体动力学模拟,数值研究了过渡层附近局地加热引起的扰动传播过程.结果表明,扰动分别以局地快磁流波速度向四周传播,数值模拟结果与局地快磁流波推算结果符合得很好,其特征可以解释SOHO/EIT观测到的波动事件.      

无碰撞激波的理想MHD模拟

采用了WENO格式数值求解一维理想MHD方程组，模拟了行星际无碰撞激波，研究了垂直无碰撞激波与行星际反向磁场结构和高密度等离子体团的相互作用过程，并与粒子模拟的结果进行比对，两者的结果非常类似．模拟结果表明，对涉及无碰撞激波的大部分现象中理想MHD模拟是准确且可行的，同时相对于粒子模拟又有很好的计算效率，便于扩展至二维或三维的情形．     

黄道面内行星际激波相互碰撞作用过程研究—间距效应

本文用两维半MHD数值模型,模拟研究了不同间距的两扰动源所产生的激波在行星际空间黄道面内的相互碰撞过程。在内边界(18R_s),两扰动中心的间距取为24°、36°、48°、54°、72°、120°,模拟了两激波速度均为1000km/s和2000km/s两种情形。结果表明:1.速度为1000km/s的两中等激波,相距24°时,在1AU以内强烈相互作用而汇合成一新激波;相距36°时,在1AU附近发生汇合,但尚可分辨;相距48°时,在1AU以内有相互作用,但可近似认为是独立传播的;相距72°时,将独立向前传播。2.速眨为2000km/s的两强激波,相距≤48°时,将强烈汇合成一新激波;相距54°时,在1AU附近产生汇合,但尚可分辨;相距72°时,相互作用不足以汇合成新的激波;相距120°时,其传播相互独立地进行。并给出了上述情形下两激波汇合的时间和位置,详细比较了汇合激波与相同能量的单激波的等离子体特性。