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3-T heat conduct equation including electron, ion and photon (radiation) temperatures can be used to approximately describe the energy broadcast across multimedia for radial flow dynamics and discover the energy swapping among photon,electron and ion. Owing to the strong nonlinear diffusion coefficients and energy swapping coefficients and strong discontinuous coefficients across media interfaces,this equation is difficult to be solved with high numerical resolution. Based on the parallel adaptive multigrid software framework UG on 2-D unstructured grid, this paper successfully solved such equation with high resolution by combining the finite volume implicit discretization scheme and parallel adaptive multigrid algorithm, and gained much significant results. 相似文献
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讨论了二维柱几何非定态中子输运方程离散格式的对称性问题,在几何空间和相空间连续的情况下,证明了时间离散方程的一维球对称性;而在时间和相空间离散的情况下,阐述了格式不具有一维球对称性;对时间和相空间离散情况下的几何空间间断有限元方程,得到了左右对称性。 相似文献
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§1.引言在核反应系统中,当中子数目足够多时,中子间的相互作用必须考虑,这就导致非线性中子输运方程。在这方面,已出现了一些研究工作,文献[1]对一类非线性中子输运方程,在一定的假定下,用半群方法证明了它的初边值问题解的存在性和唯一性。本文试图用[2]中的方法考察非线性中子输运方程的Galerkin有限元解。在§2中,给出了解的先验估计。在§3中,利用解的先验估计给出了广义解的存在性,构造了Galer- 相似文献
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RESEARCH ANNOUNCEMENTS High Order Numerical Solution of Integral Transport Equation in Slab Geometry
There are some common numerical methods for solving neutron transport equation,whichillCllldillg th6 W6ll-kll。Wll diSCf6t6 Ofdlll&bS th6thod,PN sppTOXlth3t1Oll slid flit6grsl if3llspOYtmethods[1].There exists certain singularities In the solution oftransport e叩ation near theboundary and interfacep].It gives rise to the difficulty In the construction ofhlgh order accuratenumerical methods.The numerical solution obtained by n。 相似文献
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在流体计算中,网格生成技术的本质是坐标变换技术。如何通过坐标变换的方法使得在物理空间中的网格分布与形状较为合理,是需要解决的关键问题之一。在多维多介质的流场区域中建立适当的坐标系(即生成网格)应满足诸多方面的要求。 相似文献
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In this paper some common used numerical schemes for solving discrete ordinate equations are considered and the error estimates are studied for the combined spatial and angular approximations.The conclusions show that the error order of scalar flux in all of these schemes can not be second order even if the source term f is smooth enouth.In addition,when we introduce a kind of graded grids,the simple step character scheme has same accuracy as “high order“ ones. 相似文献