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1.
孙顺凯 《计算物理》2011,28(2):159-166
提出二维可压缩流体力学问题的拉格朗日有限点方法,将求解区域离散为适当的点集.在每个时间步,每个离散点与其周围适当的五个邻点组成一个基本计算单元.在每个计算单元上,利用有限点方法中的典型微分算子的五点近似公式直接离散流体力学方程中的微分算子,并在每个方程中加上一个人为拉普拉斯粘性项,达到稳定格式的目的.给出时间步长的自动...  相似文献   

2.
为探索高维多介质流体力学散乱点集上的Lagrange有限点方法,首先对相应一维问题进行研究,提出一种Lagrange有限点方法:在计算区域内(包括物质界面)设置任意离散点集,所有力学量都设在该点集上,在内点和界面点上分别建立离散格式.内点算法为基于Taylor展开的差分方法.界面点算法为显式追踪算法,从定解条件出发,利用Rankine-Hugoniot关系和特征差分方法,计算界面点位置及相应的状态量变化.通过追踪界面点的运动得到物质界面是方法的最大特色.典型算例计算结果与精确解符合很好,验证了算法的合理和有效性.  相似文献   

3.
有限点方法研究   总被引:1,自引:0,他引:1  
在二维散乱离散点集上研究一类无网格方法--有限点方法(Finite Point Method,简称FPM).建立方法的基础.采用方向微商和方向差商讨论有限点方法,建立各阶各方向微商间的关系式.利用这些关系式,根据被逼近点的邻点数目差异,分别建立数值方向微商的五点公式及少点(两点、三点、四点)公式;研究五点公式的可解性条件与可允许邻点集;获得典型微分算子的数值方向微商公式等.理论分析和数值试验表明.随着邻点数目的增加,相应数值公式的逼近精度随之提高.这类近似公式不仅为在散乱离散点集上构造各类偏微分方程的格式奠定了基础,同时,也可应用于偏微分方程非结构网格计算方法.提高方法的精度.  相似文献   

4.
王磊磊  纪乐  马文涛 《计算物理》2020,37(2):173-181
提出一种求解二维功能梯度材料(FGMs)稳态热传导问题的重心Lagrange插值配点法.基于Chebyshev节点构造二维重心Lagrange插值函数及其偏导数,然后基于配点法将其直接代入FGMs热传导问题的控制方程和边界条件,得到系统离散方程.重心Lagrange插值配点法是一种真正的无网格方法,很好地融合了重心Lagrange插值和配点格式的优势,具有高效、稳定、高精度和易于数值实现的优点.采用重心Lagrange插值配点法分别对指数型、二次型和三角型FGMs热传导问题进行数值模拟.结果表明:该方法具有较高的计算效率和计算精度,对材料梯度参数的变化不敏感.可以进一步拓展到FGMs瞬态问题和FGMs的热力耦合分析.  相似文献   

5.
杜超凡  章定国 《物理学报》2015,64(3):34501-034501
将基于多项式点插值的无网格方法用于旋转悬臂梁的动力学分析. 利用无网格点插值方法对柔性梁的变形场进行离散, 考虑梁的纵向拉伸变形和横向弯曲变形, 并计入横向弯曲变形引起的纵向缩短, 即非线性耦合项, 运用第二类Lagrange方程推导得到系统刚柔耦合动力学方程. 与有限元法相比, 该方法只需节点信息, 无需定义单元, 具有前处理简单的优势; 构造的形函数采用更多的节点插值, 具有高阶连续性. 将无网格点插值方法的仿真结果与有限元和假设模态法进行比较分析, 验证了该方法的正确性, 并表明其作为一种柔性体离散方法在刚柔耦合多体系统动力学的研究中具有可推广性.  相似文献   

6.
将Caramana等人提出的相容算法思想和有限元方法相结合,提出三维笛卡儿坐标系中Lagrange流体力学的显式相容有限元方法.采用三线性六面体单元和交错网格进行空间离散,利用质量集中进行显式求解,无需求解线性代数方程组.时间离散可采用两步显式Runge-Kutta格式.用边人工粘性消除激波振荡,用子网格扰动压力抑制网格的非物理变形.给出若干标准算例.数值算例表明,该方法具有较高的计算精度和计算效率,同时具有很好的对称性和总能量守恒性,总能量计算误差为计算机浮点计算截断误差.  相似文献   

7.
在二维柱坐标系下Lagrange流体力学的计算中,积分梯度法是动量方程的一种有效离散方法.积分梯度法中,ICT(Integral Gradient Total)格式不能保持柱几何下一维球对称性;IGA(Integral Gmdient Average)格式可以保持一维球对称性,但当相邻网格质量相差比较大时,会得到远远脱离真实物理现象的加速度.深入研究IGA和IGT格式发现,当相邻网格边界压力取为质量加权时,即使相邻网格质量相差较大,对于一维平面和一维柱问题,IGT与IGA等价;在二维情形下,可以缩小IGT和IGA之间的差异.理论证明,ICA格式不能保持系统的动量守恒,IGT格式能保持系统的动量守恒性.数值模拟结果进一步显示了这两个格式的优缺点.  相似文献   

8.
提出一个求解二维无粘Lagrange流体力学方程的中心型有限体积方法.采用特征理论求解网格节点处的速度及压力,并利用这些物理量更新节点位置及计算网格界面通量.方法适用于结构网格与非结构网格.典型数值实验的结果表明,格式具有较好的收敛性、对称性、能量守恒性及鲁棒性,且能自然地求解多物质流动问题.  相似文献   

9.
热传导方程的一类无网格方法   总被引:1,自引:0,他引:1  
李寿佛  张瑗  刘玉珍 《计算物理》2007,24(5):573-580
构造求解热传导方程的一类无网格方法,只要选择好每个节点的适当的邻点集合,便可利用节点信息顺利进行计算.作为特殊情形,也可在各种结构或非结构网格上进行计算.在矩形或均匀平行四边形网格上进行计算时具有二阶精度,当在任意的不规则四边形或三角形网格上计算时仍然是守恒的和相容的,且至少具有一阶精度.作为数值试验,将该方法用于在不规则四边形网格上及四边形与三角形混合网格上求解二维非线性抛物型方程,并在不规则四边形网格上求解二维三温辐射热传导方程,均获得了较为理想的数值结果.  相似文献   

10.
构造Lagrange坐标系下二维可压缩气动方程组的RKDG(Runge-Kutta Discontinuous Galerkin)有限元方法.将流体力学方程组和几何守恒律统一求解,所有计算都在固定的网格上进行,计算过程中不需要网格节点的速度信息.对几个数值算例进行数值模拟,得到较好的数值模拟结果.  相似文献   

11.
超形变带Staggering现象的SUq(2)描述   总被引:1,自引:0,他引:1  
利用SUq(2)转动谱公式分析了149Gd(1),148Gd(6)和148Eu(1)超形变带的staggering现象.当选择合适的带首自旋,计算的ΔI=4的分岔和实验提取的结果惊人地吻合,表明q形变或许是产生原子核超形变带staggering现象的原因之一.  相似文献   

12.
在重子波函数中考虑了s夸克与u,d夸克质量的差别,构造了把坐标空间与味空间联合成SU(3)rf的SU(3)rf×SU(2)s×SU(3)c群分类夸克间全反对称的重子波函数.与不考虑s夸克与u,d夸克质量差的SU(n)r×SU(3)f×SU(2)s×SU(3)c群分类的波函数作了比较,它们的相互作用能量矩阵元有明显的差别.  相似文献   

13.
运用Leznov-Saveliev代数分析方法和Drinfeld-Sokolov构造分别给出超协变形式和分量形式超Liouville模型精确解.  相似文献   

14.
从结合能实验值提取n-p相互作用能εip-jn,系统比较了奇奇核单质子单中子相互作用能ε1p-1n与相邻奇A核相应量的平均值,发现前者普遍大于后者.提出奇奇核n-p增强的解释为,GMshift效应和同类核子对关联对奇A核n-p相互作用的削弱效应.同时指出,奇质子核的ε1p-2n相当好地近似等于同质量数奇中子核的ε2p-1n,并且这与Garvey-Kelson关系是等价的.  相似文献   

15.
Cholesteryl acetate and cholesteryl chloroformate compounds have been irradiated with 60Co-γ rays at room temperatures. The irradiated samples have been examined for paramagnetic resonance, and the observed spectra in several cases have been identified with specific radicals. The results in each case have been considered in relation to the present knowledge of the radiation chemistry of the compound. The single crystals have been investigated between 120 and 300?K. The spectra are found to be temperature independent and radiation damage centers are attributed to ?HCH2 radical for cholesteryl acetate and ?H3 and ?HCH2 CH2 CH2 radicals for cholesteryl chloroformate.  相似文献   

16.
In this paper we give a generalized form of the Schrödinger equation in the relativistic case, which contains a generalization of the Klein-Gordon equation. By complex Legendre transformation, the complex Lagrangian of electrodynamics produces a complex relativistic Hamiltonian H of electrodynamics, on the holomorphic cotangent bundle T′* M. By a special quantization process, a relativistic time dependent Schrödinger equation, in the adapted frames of (T′* M, H) is obtained. This generalized Schrödinger equation can be expressed with respect to the Laplace operator of the complex Hamilton space (T′*M, H). Finally, under some additional conditions on the proper time s of the complex space-time M and the time parameter t along the quantum state, by the method of separation of variables, we obtain two classes of solutions for the Schrödinger equation, one for the weakly gravitational complex curved space M, and the second in the complex space-time with Schwarzschild metric.  相似文献   

17.
Soot and NO emissions are considered as major pollutants to the atmosphere from compression ignition engines. Researchers have been dedicated to the reduction of soot and NO emissions. Thus, an advance combustion regime, i.e. reactivity controlled compression ignition (RCCI), was proposed to mitigate the formation of these emissions. In this study, the dynamic ?-T (equivalence ratio vs. temperature) map analysis was applied to visualise the combustion processes associated with the in-cylinder temperature and equivalence ratio in an RCCI engine. Therefore, the soot and NO emissions can be efficiently reduced by controlling the combustion process out of the emissions islands on the ?-T map. This analysis method employs KIVA4-CHEMKIN and SENKIN code to construct ?-T maps under various conditions. To find out the significant parameters of controlling combustion process and emissions formation, four parameters were taken into consideration in a natural gas (NG) and diesel fuelled RCCI engine: NG percentage, the first start of injection (SOI) timing, split fraction of diesel and exhaust gas recirculation (EGR) rate. Each parameter was varied at three levels. Finally, the ?-T maps and final soot and NO emissions were compared among varied conditions for each parameter. It is found that the increased NG percentage can significantly reduce soot because of the absence of C-C bond in NG and the reduced diesel fuel impingement on the surface of the piston or cylinder wall. Increasing EGR can decrease the peak combustion temperature due to the dilution effect and thermal effect, consequently maintaining RCCI at low temperature combustion region. This study also indicates that dynamic ?-T map analysis is efficient at manipulating the combustion process to mitigate the soot and NO emissions formation.  相似文献   

18.
Angular distributions have been measured for the 6Li(n, t)4 He reaction using pulse height spectra in 6LiI(Eu).  相似文献   

19.
A phase transition at T r = 365±10K is shown for Pb9Al2F24 by high-temperature X-ray diffraction, microcalorimetric and electrical measurements. The AC conductivity data of Pb9Al2F24 are analyzed in the Z*, M* and ε* formalisms and the conductivity relaxation parameters are determined. The high-temperature form of Pb9Al2F24 is characterized by an activation energy (Δσ)h.t. close to that of the (x = 0.12) limiting composition of the Pb1-.xAlxF2 2+x solid solution with fluorite-type structure.  相似文献   

20.
Abstract

The objectives of this work are two fold: (1) to study the effect of using oxygen-acetylene flame grown synthetic diamond as seed crystals for the high pressure-high temperature conversion of graphite into diamond and (2) to demonstrate the ability to produce small crystallites of diamond by a simple, electron beam evaporation technique. In each case, the production of diamond from graphite was confirmed.  相似文献   

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