Asymptotic Analysis and Layer Decomposition for the Couplex Exercise
Asymptotic Analysis and Layer Decomposition for the Couplex Exercise
复制标题
耦合练习的渐近分析和层分解
DOI：
--
复制
发表时间：
2004
期刊：
影响因子：
--
通讯作者：
O. Pironneau
中科院分区：
文献类型：
--
作者：
Stephane Del Pino;O. Pironneau
本文档探讨了多尺度扩展和区域分解的可能性，以解决耦合1练习的一部分。我们集中讨论流体静压力，并表明区域的细长和达西常数的大变化允许解析近似，我们的测试表明相对误差小于10−3。数值测试是在2D与freefem+和3D与freefem3D。还对碘的运输作了一些考虑。
This document explores the possibilities of multiscale expansions and domain decomposition to solve part of the Couplex 1 exercise. We concentrate on the hydrostatic pressure and show that the slenderness of the domain and the large variations of the Darcy constants allows an analytical approximation which our test reveals to be true to relative errors smaller than 10−3. The numerical tests are done in 2D with freefem+ and in 3D with freefem3D. Some considerations are also given for Iodine transport.