Numerical evaluation of the dilogarithm of complex argument     

Carlos Osácar  Jesús Palacián  Manuel Palacios 《Celestial Mechanics and Dynamical Astronomy》1995,62(1):93-98

A numerical algorithm to evaluate the dilogarithmic function of a complex argument is proposed. The use of the dilogarithm in celestial mechanics appears in the exact Delaunay normalization of some functions involving the equation of the centre.  相似文献   

Two-fluid Dynamics in Clusters of Galaxies     

Yu-Qing LouNational Astronomical Observatories  Chinese Academy of Sciences  Beijing Department of Physics & Tsinghua Center for Astrophysics 《中国天文和天体物理学报》2005,5(1):6-20

We develop a theoretical formulation for the large-scale dynamics of galaxy clusters involving two spherical ‘isothermal fluids‘ coupled by their mutual gravity and derive asymptotic similarity solutions analytically. One of the fluids roughly approximates the massive dark matter halo, while the other describes the hot gas, the relatively small mass contribution from the galaxies being subsumed in the gas. By properly choosing the self-similar variables, it is possible to consistently transform the set of time-dependent two-fluid equations of spherical symmetry with serf-gravity into a set of coupled nonlinear ordinary differential equations (ODEs). We focus on the analytical analysis and discuss applications of the solutions to galaxy clusters.  相似文献   

Stellar wind/ISM shocks in gravitational potentials     

A. Hubbard 《Monthly notices of the Royal Astronomical Society》2007,374(3):1045-1050

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极限波浪运动特性的非线性数值模拟   总被引：1，自引：0，他引：1       下载免费PDF全文

宁德志  滕斌  姜立明  臧军 《海洋学报》2008,30(3):126-132

利用时域高阶边界元方法建立了模拟极限波浪运动的完全非线性数值模型,其中自由水面满足完全非线性自由水面条件.采用半混合欧拉-拉格朗日方法追踪流体瞬时水面,运用四阶Runge-Kutta方法更新下一时间步的波面和速度势,同时应用镜像格林函数消除水槽两个侧面和底面上的积分.研究中利用波浪聚焦的方法产生极限波浪,并且在水槽中开展了物理模型实验,将测点试验数据与数值结果进行了对比,两者吻合得很好.对极限波浪运动的非线性和流域内速度分布进行了研究.  相似文献   

COMCOT数值模式的介绍和应用   总被引：1，自引：0，他引：1  

潘文亮  王盛安 《海洋预报》2009,26(3):45-52

介绍了一个成熟的海啸数值模式-COMCOT模式.COMCOT模式是一个能够模拟海啸产生、传播和增水全过程的基于浅水波方程的有限差分模型.模型采用多层网格嵌套,根据海啸在不同区域的传播特点和要求,分别选用不同的分辨率和计算设置,从而兼顾了模式的精度和计算效率.利用此模式模拟了2006年12月26日台湾南部7.2级地震产生海啸波的传播情况,结果与两个潮位站的海啸波监测数据相吻合.  相似文献   

Self-regulated gravitational accretion in protostellar discs     

E. I. Vorobyov  Shantanu Basu 《Monthly notices of the Royal Astronomical Society》2007,381(3):1009-1017

We present a numerical model for the evolution of a protostellar disc that has formed self-consistently from the collapse of a molecular cloud core. The global evolution of the disc is followed for several million years after its formation. The capture of a wide range of spatial and temporal scales is made possible by use of the thin-disc approximation. We focus on the role of gravitational torques in transporting mass inward and angular momentum outward during different evolutionary phases of a protostellar disc with disc-to-star mass ratio of order 0.1. In the early phase, when the infall of matter from the surrounding envelope is substantial, mass is transported inward by the gravitational torques from spiral arms that are a manifestation of the envelope-induced gravitational instability in the disc. In the late phase, when the gas reservoir of the envelope is depleted, the distinct spiral structure is replaced by ongoing irregular non-axisymmetric density perturbations. The amplitude of these density perturbations decreases with time, though this process is moderated by swing amplification aided by the existence of the disc's sharp outer edge. Our global modelling of the protostellar disc reveals that there is typically a residual non-zero gravitational torque from these density perturbations, i.e. their effects do not exactly cancel out in each region. In particular, the net gravitational torque in the inner disc tends to be negative during first several million years of the evolution, while the outer disc has a net positive gravitational torque. Our global model of a self-consistently formed disc shows that it is also self-regulated in the late phase, so that it is near the Toomre stability limit, with a near-uniform Toomre parameter Q ≈ 1.5–2.0. Since the disc also has near-Keplerian rotation, and comparatively weak temperature variation, it maintains a near-power-law surface density profile proportional to r ^−3/2.  相似文献   

Acoustic wave reflection by stellar cores: can it be seen in the autocorrelation function of p-mode measurements?     

I. W. Roxburgh  S. V. Vorontsov 《Monthly notices of the Royal Astronomical Society》2007,379(2):801-806

The rapid variation of density with depth in a stellar core can distort acoustic wave propagation in stellar interiors, producing a reflected wave. The reflectivity can come from a rapid density change at the boundary of a convective core, or from the steep gradients established in a radiative core during chemical evolution. We analyse this wave reflection within the framework of wave scattering theory, and address the question of the detectability of the reflected wave in the autocorrelation function of stellar p-mode measurements.  相似文献   

How useful is the 'mean stream' in discussing meteoroid stream evolution?     

I. P. Williams  D. C. Jones 《Monthly notices of the Royal Astronomical Society》2007,375(2):595-603

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A piecewise exponential model for seismic well-logging data     

D. L. Jupp  Ian C. F. Stewart 《Mathematical Geology》1974,6(1):33-45

Conventional methods of analyzing sonic log data do not always yield accurate information on each velocity segment of a well. It is shown here that the velocity-depth parameters and the sections of approximately constant velocity may be more precisely defined by using an exponential spline to model the data.  相似文献   

NUMERICAL SIMULATION OF THE MINDANAO EDDY AND TROPICAL CURRENTS OF PACIFIC OCEAN     

李荣凤  曾庆存  季仲贞 《中国海洋湖沼学报》1992,10(3):258-267

Results of numerical simulation of currents in the western North Tropical Pacific Ocean by using a barotropic primitive equation model with fine horizontal resolution agreed well with observations and showed that the Mindanao Cyclonic Eddy located north of the equator and east of Mindanao Island exists during most of the year with monthly (and large seasonal) variations in scope . strength and central location . In June , an anticyclonic eddy occurs northeast of Halmahera Island, strengthens to maximum in August , exists until October and then disappears . The observed large-scale circulation systems such as the North Equatorial Current . the Mindanao Current and the North Equatorial Countercurrent are all very well reproduced in the simulations.  相似文献