共查询到19条相似文献,搜索用时 156 毫秒
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本文研究了二维轴对称中子输运(包括各向同性散射和各向异性散射)问题的一种有限元数值方法。给出了一系列的数值计算结果,并与国内外的SN、间断有限元方法的数值结果及实验结果进行比较,取得了令人满意的结果。 相似文献
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本文对文[1]中提出的二维长波方程给出了数值求解方法。由于此方法无需处理边界上的积分,不仅使数值计算的数据准备工作量大大减少,缩短了计算时间,降低了计算误差,而且没出现文[2]提到的短波长噪音干扰。用本文建立的方法,计算了我国渤海的M2分潮,计算结果与实测结果吻合较好。 相似文献
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本文给出了数值求解以流函数表示的Navier-Stokes方程的交替方向部分隐式和交替方向完全隐式方法;作为算例,计算了低雷诺数的二维方腔流动问题,并与已知结果进行了比较。 相似文献
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为提高传统光滑粒子动力学(SPH)方法求解高维非线性薛定谔(nonlinear Schr?dinger/Gross-Pitaevskii equation, NLS/GP)方程的数值精度和计算效率,本文首先基于高阶时间分裂思想将非线性薛定谔方程分解成线性导数项和非线性项,其次拓展一阶对称SPH方法对复数域上线性导数部分进行显式求解,最后引入MPI并行技术,结合边界施加虚粒子方法给出一种能够准确、高效地求解高维NLS/GP方程的高阶分裂修正并行SPH方法.数值模拟中,首先对带有周期性和Dirichlet边界条件的NLS方程进行求解,并与解析解做对比,准确地得到了周期边界下孤立波的奇异性,且对提出方法的数值精度、收敛速度和计算效率进行了分析;随后,运用给出的高阶分裂粒子方法对复杂二维和三维NLS/GP问题进行了数值预测,并与其他数值结果进行比较,准确地展现了非线性孤立波传播中的奇异现象和玻色-爱因斯坦凝聚态中带外旋转项的量子涡旋变化过程. 相似文献
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本文提出了一种关于一维和二维量子自旋系统的Monte Carlo模拟新算法。具体给出了对于一维和二维Heisenberg模型的计算方案。在s=1/2的铁磁和反铁磁链情况下的计算结果证实了此方法有效地克服了“临界慢化(CSD)”效应和能够达到更低的温度区域进行计算。该方法可推广到各向异性和高自旋(s=1,3/2,…)量子系统、二维经典8-顶角格点模型和低维费密系统。
关键词: 相似文献
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给出数值求解二维定常不可压Navier-Stokes型方程的非线性Galerkin有限元算法,并分析了数值解的正则性和收敛性,当粗网格参数H和细网格参数h满足关系式H=O(h1/2)时,该算法具有和Galerkin有限元算法同阶的收敛精度,然而在计算上比Galerkin有限元算法更为简单,可以节省可观的计算量.最后给出了数值试验,验证了上述结果。 相似文献
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The spherical harmonics method for anisotropic scattering in the neutron transport theory related to the critical sphere problem was investigated by Yildiz [The spherical harmonics method for anisotropic scattering in neutron transport theory: the critical sphere problem. JQSRT 2001;71:25-37]. Some numerical results and figures that they provided are incorrect. The correct numerical results for the critical radius are obtained and tabulated for different scattering parameters by using the discrete ordinates method. 相似文献
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本文以球几何为例研究了解各向异性散射中子输运问题的双向间断有限元方法、介绍了算法,给出了逼近解的范数估计,证明了解的唯一性和算法的稳定性,并给出了数值结果。 相似文献
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Awatif A. Hendi 《Journal of Quantitative Spectroscopy & Radiative Transfer》2004,84(3):339-347
The neutron transport equation for a slab geometry with the extremely anisotropic scattering kernel is considered. The albedo and transmission factors are calculated using the variation method. The effect of the extremely anisotropic parameter on the variation of the slab albedo and transmission factor is calculated. The obtained results are compared with the published data. 相似文献
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Nassar H. S. Haidar 《Letters in Mathematical Physics》1991,21(1):7-12
We report on a new closed-form approximant to the singular eigenfunction transient solution of the one-speed, one-dimensional neutron transport equation with an anisotropic scattering kernel. It is proved that the associated eigenvalue continuum must be pointwise perforated. 相似文献
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The efficiency of the proposed method of solution for the spin-considered highly anisotropic multiple scattering problem is based, following optics, upon the admission that the complete solution of the vectorial transport equation boundary problem is the superposition of the anisotropic and smooth parts, calculated separately. We use a vectorial small angle modification of the spherical harmonics method to evaluate the anisotropic part and the vectorial discrete ordinates method to obtain a smooth one. Some calculation examples for reflected radiation are given. 相似文献
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A. EL-Depsy D.A. Gharbiea M.S. Abdel Krim 《Journal of Quantitative Spectroscopy & Radiative Transfer》2006,98(3):379-393
The Milne problem is investigated subject to reflecting boundary conditions. The original version of the problem with vacuum boundary condition is generalized assigning, to the surface x=0, a specular reflection coefficient . Linearly anisotropic case is studied. The integral version of the transport equation solved using trial functions based on Case's eigenvalues and exponential integral function. Solution of the Milne problem is formulated in terms of characteristic parameters such as extrapolated end point, emergent angular distribution and total neutron density. Numerical results for the analytically evaluated parameters are then present. Some of our numerical results are compared with the available published results. 相似文献
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M.A. Abdou 《Journal of Quantitative Spectroscopy & Radiative Transfer》2006,101(2):210-225
The time-dependent neutron transport equation in semi and infinite medium with linear anisotropic and Rayleigh scattering is proposed. The problem is solved by means of the flux-limited, Chapman-Enskog-maximum entropy for obtaining the solution of the time-dependent neutron transport. The solution gives the neutron distribution density function which is used to compute numerically the radiant energy density E(x,t), net flux F(x,t) and reflectivity Rf. The behaviour of the approximate flux-limited maximum entropy neutron density function are compared with those found by other theories. Numerical calculations for the radiant energy, net flux and reflectivity of the proposed medium are calculated at different time and space. 相似文献