An Asymptotic-Induced Scheme for Nonstationary Transport Equations in the Diffusive Limit
An Asymptotic-Induced Scheme for Nonstationary Transport Equations in the Diffusive Limit
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DOI：
10.1137/s0036142996305558
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发表时间：
1998-06
影响因子：
2.9
通讯作者：
A. Klar
中科院分区：
文献类型：
--
作者：
A. Klar
开发了一种具有扩散缩放的非组织运输方程的渐近传输方程的方案。该方案适用于所有无均值路径的范围。它基于对传输方程扩散极限的渐近分析。给出了在扩散极限中对该方案行为的理论研究，并证明了近似特性。此外，显示了不同物理情况的数值结果，并以数值建立了方案的均匀收敛性。
An asymptotic-induced scheme for nonstationary transport equations with the diffusion scaling is developed. The scheme works uniformly for all ranges of mean-free paths. It is based on the asymptotic analysis of the diffusion limit of the transport equation. A theoretical investigation of the behavior of the scheme in the diffusion limit is given and an approximation property is proven. Moreover, numerical results for different physical situations are shown and the uniform convergence of the scheme is established numerically.