QQ客服 官方微博 反馈留言

	A UNIFORM FIRST-ORDER METHOD FOR THE DISCRETE ORDINATE TRANSPORT EQUATION WITH INTERFACES IN X,Y-GEOMETRY
	Tang, Min
	2010-10-12 ; 2010-10-12
关键词	Transport equation Interface Diffusion limit Asymptotic preserving Uniform numerical convergence X,Y-geometry HYPERBOLIC CONSERVATION-LAWS STIFF RELAXATION TERMS DIFFUSIVE REGIMES SCHEMES LIMIT Mathematics, Applied Mathematics
中文摘要	A uniformly first-order convergent numerical method for the discrete-ordinate transport equation in the rectangle geometry is proposed in this paper. Firstly we approximate the scattering coefficients and source terms by piecewise constants determined by their cell averages. Then for each cell, following the work of De Barros and Larsen [1, 19], the solution at the cell edge is approximated by its average along the edge. As a result, the solution of the system of equations for the cell edge averages in each cell can be obtained analytically. Finally, we piece together the numerical solution with the neighboring cells using the interface conditions. When there is no interface or boundary layer, this method is asymptotic-preserving, which implies that coarse meshes (meshes that do not resolve the mean free path) can be used to obtain good numerical approximations. Moreover, the uniform first-order convergence with respect to the mean free path is shown numerically and the rigorous proof is provided.
语种	英语 ; 英语
出版者	VSP BV ; LEIDEN ; BRILL ACADEMIC PUBLISHERS, PO BOX 9000, 2300 PA LEIDEN, NETHERLANDS
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/81263]
专题	清华大学
推荐引用方式 GB/T 7714	Tang, Min. A UNIFORM FIRST-ORDER METHOD FOR THE DISCRETE ORDINATE TRANSPORT EQUATION WITH INTERFACES IN X,Y-GEOMETRY[J],2010, 2010.
APA	Tang, Min.(2010).A UNIFORM FIRST-ORDER METHOD FOR THE DISCRETE ORDINATE TRANSPORT EQUATION WITH INTERFACES IN X,Y-GEOMETRY..
MLA	Tang, Min."A UNIFORM FIRST-ORDER METHOD FOR THE DISCRETE ORDINATE TRANSPORT EQUATION WITH INTERFACES IN X,Y-GEOMETRY".(2010).

个性服务

查看访问统计

相关权益政策

暂无数据

收藏/分享

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。