Numerical simulation of transient thermal field in laser melting process

Numerical simulation of thermal field was studied in laser processing. The 3-D finite element model of transient thermal calculation is given by thermal conductive equation. The effects of phase transformation latent are considered. Numerical example is given to verify the model. Finally the real example of transient thermal field is given.     

Parallel arithmetic numerical simulation and application of secondary migration-accumulation of oil resources

From such actual conditions as the effects of characteristics of miltilayer petroleum geology and permeation fluid mechanics, a new numerical model is put forward and coupling splitting-up implicit interactive scheme is formed. For the actual situation of Dongying hollow ( four-layer ) and Tanhai region ( three-layer ) of Shengli Petroleum Field, the numerical simulation test results and the actual conditions are coincident.     

New numerical method for volterra integral equation of the second kind in piezoelastic dynamic problems

The elastodynamic problems of piezoelectric hollow cylinders and spheres under radial deformation can be transformed into a second kind Volterra integral equation about a function with respect to time, which greatly simplifies the solving procedure for such elastodynamic problems. Meanwhile, it becomes very important to find a way to solve the second kind Volterra integral equation effectively and quickly. By using an interpolation function to approximate the unknown function, two new recursive formulae were derived, based on which numerical solution can be obtained step by step. The present method can provide accurate numerical results efficiently. It is also very stable for long time calculating.     

带强耗散项的拟线性波方程的数值解

研究了一类拟线性波方程的数值解．构造了带强耗散项的拟线性波方程的三级差分格式,并证明其收敛性,估计了差分解的误差．最后给出数值例子．     

激光熔凝加工中瞬时温度场数值模拟

以激光熔凝表面强韧化处理为背景,应用空间弹塑性有限单元和高精度数值算法同时考虑材料组织性能的变化模拟工件的温度场,主要研究激光熔凝加工中瞬时温度场数值模拟,同时考虑相变潜热的影响,为第二步热应力场及残余应力的数值模拟做准备．用算例验证了模型的正确性,最后给出了激光熔凝加工不同时刻温度场分布．     

Approach to Generalized Synchronization with Application to Chaos-Based Secure Communication

A constructive theorem is established for generalized synchronization (GS) related to C¹ diffeomorphic transformations of unidirectionally coupled dynamical arrays. The theorem provides some interpretations about the underlying mechanism of various GS phenomena in nature. As a direct application of the theorem, a chaos-based secure Internet communication scheme is proposed. Moreover, a cellular neural network (CNN) of Chen's chaotic circuits with GS property is designed and studied. Numerical simulation shows that this Chen's CNN has high security and is fast and reliable for secure Internet communications.     

微型电阻加热推进器内的传热问题

分析了微型电阻加热推进器中沸腾的特征以及过热极限温度,分别采用经典的抛物型热传导方程和非傅立叶导热的双曲型模型(C-V模型)、双元相滞后模型(DPL模型)来描述导热过程,采用有限差分法对微型电阻加热推进器中导热过程的初始阶段进行了数值求解.发现非傅立叶模型较傅立叶模型有-定的时间延迟,DPL模型与C-V模型的延迟差别不太大;在加热过程中,加热电阻及其临近的水很快会升至300℃,而大部分水的温度升得较慢.     

颗粒Reynolds正应力轨道模型及后台阶两相流动数值模拟

用随机过程理论建立气固两相耦合脉动量Lagrange方程,并建立了气固两相流随机颗粒轨道模型中颗粒Reynolds正应力的Lagrange方程.将新的模型运用于各向同性的湍流衰减的流场中,模拟颗粒的湍流扩散特性,与文[1]中的模型和实验结果作比较,并使用新模型模拟了后台阶两相流动.     

EHD两相系统中的电场数值模拟

针对均匀电场作用下两相系统中的单个离散相周围电场分布情况,建立了数学模型.在建模过程中,考虑了离散相的存在对电场分布的影响.通过求解电场控制方程,得到了均匀电场作用下离散相周围及其内部的电势及电场分布的数值解,并理论验证了该数值解的准确性.     

一种具有二次谐波发生和适中双折射的紫外透过稀土金属甲酸盐

本研究工作报道了一例采用溶液挥发法合成的稀土金属甲酸盐,分子式为(C (NH₂)₃)[Er (HCOO)₄]。该化合物结晶于非中心对称空间群。光学性质研究表明：该化合物具有较大光学带隙(4.76 eV)、适中的双折射率(0.066@546 nm);在1 064 nm处,其粉末倍频效应为KH₂PO₄(KDP)的0.20倍,并且可实现相位匹配。第一性原理计算和单晶结构分析揭示了线性和非线性光学效应来源于C (NH₂)₃⁺、[ErO₈]和HCOO^-单元的协同作用。