Mathematical modeling of an array of underground waste containers

被引：7

作者：

Bourgeat, A ^{[1
]}

Gipouloux, O

Marusic-Paloka, E

机构：

[1] Univ Lyon 1, MCS ISTIL, Bat ISTIL,43 Bd 11 Novembre, F-69622 Villeurbanne, France

[2] Univ St Etienne, MCS Fac Sci, St Etienne 2, France

[3] Lab Mecan & Acoust, UPR 7051, F-13402 Marseille, France

[4] Univ Zagreb, Dept Math, Zagreb 10000, Croatia

来源：

COMPTES RENDUS MECANIQUE | 2002年 / 330卷 / 05期

关键词：

computational solid mechanics; underground waste repository; global model; homogenization; boundary layers;

D O I：

10.1016/S1631-0721(02)01472-9

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We consider a mathematical model describing the behavior of an underground waste repository, once the containers start to leak. Due to the high contrast of the characteristic lengths, numerical simulations on a such model are unrealistic. After renormalization, a small parameter epsilon appears, and the global model is obtained when tends to zero, by means of homogenization and boundary layers methods. The asymptotic model obtained could be used as a global repository model for large field numerical simulations.

引用

页码：371 / 376

页数：6

共 7 条

[1] Mathematical modelling and numerical simulation of a non-Newtonian viscous flow through a thin filter [J].

Bourgeat, A ;

Gipouloux, O ;

Marusic-Paloka, E .

SIAM JOURNAL ON APPLIED MATHEMATICS, 2001, 62 (02) :597-626

[2]

BOURGEAT A, 2001, MATHAP0108214 LOS AL

[3] HOMOGENIZATION IN OPEN SETS WITH HOLES [J].

CIORANESCU, D ;

PAULIN, JSJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 71 (02) :590-607

[4]

CONCA C, 1987, J MATH PURE APPL, V66, P1

[5]

Lions JL., 1981, Some Methods in the Mathematical Analysis of Systems and their Control

[6] ON THE BEHAVIOR AT INFINITY OF SOLUTIONS OF 2ND ORDER ELLIPTIC-EQUATIONS IN DOMAINS WITH NON-COMPACT BOUNDARY [J].

OLEINIK, OA ;

IOSIFJAN, GA .

MATHEMATICS OF THE USSR-SBORNIK, 1981, 40 (04) :527-548

[7]

SANCHEZPALENCIA E, RES NOTES MATH, V70

← 1 →