方差未知时两总体均值的比较

给出了方差未知时两总体均值比较的近似方法(Welch-Satterthwaite方法),Bayes方法和一个Monte Carlo模拟算法,并用一个算例进行了比较.     

Statistical stationary states for a two-layer quasi-geostrophic system

Existence of a family of locally invariant probability measures for large scale flows in enclosed temperate sea is proved. This model is extremely important for understanding the meso-scale phenomena in oceans. The techniques used are those developed by Albeverio and his collaborators.     

Effect of heat transfer on the oscillatory behavior in partial oxidation of methane over nickel catalyst

Monte Carlo method was applied to simulate the oscillatory behavior during partial oxidation of methane under non-isothermal condition. The simulation was performed to examine the influences of heat transfer constant and particle size on the kinetic oscillation. The oscillatory period and amplitude were observed to increase with the increase of heat transfer constant. The increase of catalyst particle size was found to result in short oscillatory period and more or less regular oscillations combined with the formation of oxide down to L=100.     

分层性物质的组合取样误差与份样数目之间的关系及其Monte Carlo模拟

本文从理论上研究了分层性物质的组合取样误差与份样数目之间的定量关系，表明份样数目与组合取样相对标准偏差的平方之积为一常数，称为组合取样常数，它与Ｉｎｇａｍ ｅｌｌｓ 和Ｓｗ ｉｔｚｅｒ 提出的取样常数是相似的，表示６８％ 置信度下组合取样的相对标准偏差达到１％ 时的份样数目。应用Ｍｏｎｔｅ Ｃａｒｌｏ 模拟技术对该理论进行了验证，结果令人满意。     

旋流扩散燃烧中旋流数对热NO生成的影响

本文对旋流扩散燃烧进行了数值模拟，研究旋流数对热ＮＯ生成的影响，其中对湍流采用Ｒｅｙｎｏｌｄｓ应力方程模型，对燃烧采用ＥＢＵ－Ａｒｒｈｅｎｉｕｓ模型，对热ＮＯ生成采用设定ＰＤＦ的模型。预报了不同旋流数下轴向和切向的平均和脉动速度、温度和ＮＯ浓度，指出随着旋流数的增大，计算得到的出口平均ＮＯ浓度首先升高然后下降。这一趋势和本文作者最近的实验结果的趋势一致．随着旋流数的增大，湍流脉动首先下阵然后升高，而进口附近的温度上升，二者综合效果造成上述趋势、因此在实际燃烧器中，完全靠改变族流数来控制ＮＯ生成是不现实的。应该采取其他方法来降低ＮＯ的生成。     

The Use of DNS to Define Stress Producing Events for Turbulent Flow over a Smooth Wall

Over the past 15 years direct numerical simulations (DNS) of turbulent flow and particle image velocimetry (PIV) have provided the opportunity to obtain information about a turbulent velocity field simultaneously at a large number of locations. This paper gives a personal viewpoint of how these techniques are providing new insights about the Reynolds stress producing structures in turbulence generated by flow over a smooth boundary. This revised version was published online in August 2006 with corrections to the Cover Date.     

Quantum dynamics of dissociative adsorption of H_2 on Ni(100) using the dynamical Lie algebraic method

A dynamical Lie algebraic method has been applied to treating the quantum dynamics of dissociative adsorption of H_2 on a static flat metal surface. An LEPS potential energy surface has been used to describe the interaction of H_2 with Ni(100) surface. The dependence of the initial state-selected dissociation probability was obtained analytically on the initial kinetic energy and time. A comparison with other theoretical calculations and experiments is made. The results show that the method can be effectively used to describe the dynamics of reactive gas-surface scattering.     

Three-dimensional cellular automaton simulation of tumour growth in inhomogeneous oxygen environment

Cellular automaton theory has previously been used to study cell growth. In this study, we present a three-dimensional cellular automaton model performing the growth simulation of normal and cancerous cells. The necessary nutrient supply is provided by an artificial arterial tree which is generated by constrained constructive optimization. Spatial oxygen diffusion is approximated again by a cellular automaton model. All results could be illustrated dynamically by three-dimensional volume visualization. Because of the chosen modelling approach, an extension of the model to simulate angiogenic processes is possible.     

Persistent oscillations in a threshold adjustment model

In this paper we present a simple time-continuous behavioural model of habit formation. Addictive behaviour is damped by a threshold which adapts itself to the habit. This adaptive behaviour of the threshold may lead to periodic fluctuations of the consumption rate, the habit and the threshold. It turns out that both a low adjustment rate of the threshold as well as a steep consumption function favour oscillatory patterns.     

Rate effect and coupled evolution of atomic motions and potential landscapes

Since rate effect of materials plays a key role in impact engineering, the microscopic mechanism of rate effect is investigated at molecular level in this paper. The results show that rate effect on the strength of atomic system is closely related to the coupled evolution of atomic motions and potential landscapes. Accordingly, it becomes possible to develop a new algorithm of molecular simulation, which could properly and efficiently demonstrate strain rate effect under a wide range of loading rates and unveil the mecha- nisms underlying the strain rate effects.