Stabilized methods and post-processing techniques for miscible displacements

被引:20
作者
Coutinho, ALGA
Dias, CM
Alves, JLD
Landau, L
Loula, AFD
Malta, SMC
Castro, RGS
Garcia, ELM
机构
[1] Univ Fed Rio de Janeiro, COPPE, Ctr Parallel Computat, Dept Civil Engn, BR-21945970 Rio De Janeiro, RJ, Brazil
[2] LNCC, BR-25651070 Petropolis, RJ, Brazil
关键词
stabilized formulatiom; miscible displaceinems; post-processing techniques;
D O I
10.1016/j.cma.2003.12.031
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Stabilized finite element formulations and post-processing techniques are presented for Darcy flow and miscible displacement problems. In these techniques all primary unknowns are approximated in space by standard equal-order interpolations. We presented a review of the main mathematical results, including convergence estimates for global post-processing to solve the pressure-velocity problem and for the stabilized solution of the complete set of coupled partial differential equations in both space-time and semi-discrete frameworks. Demonstration problems are solved to show that we obtained numerically high rates of convergence than those predicted, achieving good accuracy in the solution of monophasic flow problems in adverse conditions. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:1421 / 1436
页数:16
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