Numerical Analysis of Space–Time Finite Element Formulations for Miscible Displacements |
| |
| Authors: | Rigoberto G Sanabria Castro Sandra M C Malta Abimael F D Loula Luiz Landau |
| |
| Institution: | 1. Laboratório Nacional de Computa??o Científica, Rua Getúlio Vargas 333, Quitandinha, 25651-070, Petrópolis, RJ, Brazil
2. Departamento de Engenharia Civil, COPPE, Universidade Federal do Rio de Janeiro, Caixa Postal 68506, Rio de Janeiro, RJ, 21945-970, Brazil
|
| |
| Abstract: | A finite element formulation is proposed to approximate a nonlinear system of partial differential equations, composed by an elliptic subsystem for the pressure–velocity and a transport equation (convection–diffusion) for the concentration, which models the incompressible miscible displacement of one fluid by another in a rigid porous media. The pressure is approximated by the classical Galerkin method and the velocity is calculated by a post-processing technique. Then, the concentration is obtained by a Galerkin/least-squares space–time (GLS/ST) finite element method. A numerical analysis is developed for the concentration approximation. Then, stability, convergence and numerical results are presented confirming the a priori error estimates. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
