Nonconforming virtual element method for an incompressible miscible displacement problem in porous media
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929196577587200 |
|---|---|
| author | Kumar, Sarvesh Shylaja, Devika |
| author_facet | Kumar, Sarvesh Shylaja, Devika |
| contents | This article presents a priori error estimates of the miscible displacement of one incompressible fluid by another through a porous medium characterized by a coupled system of nonlinear elliptic and parabolic equations. The study utilizes the $H(\rm{div})$ conforming virtual element method (VEM) for the approximation of the velocity, while a non-conforming virtual element approach is employed for the concentration. The pressure is discretised using the standard piecewise discontinuous polynomial functions. These spatial discretization techniques are combined with a backward Euler difference scheme for time discretization. The article also includes numerical results that validate the theoretical estimates presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01618 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonconforming virtual element method for an incompressible miscible displacement problem in porous media Kumar, Sarvesh Shylaja, Devika Numerical Analysis This article presents a priori error estimates of the miscible displacement of one incompressible fluid by another through a porous medium characterized by a coupled system of nonlinear elliptic and parabolic equations. The study utilizes the $H(\rm{div})$ conforming virtual element method (VEM) for the approximation of the velocity, while a non-conforming virtual element approach is employed for the concentration. The pressure is discretised using the standard piecewise discontinuous polynomial functions. These spatial discretization techniques are combined with a backward Euler difference scheme for time discretization. The article also includes numerical results that validate the theoretical estimates presented. |
| title | Nonconforming virtual element method for an incompressible miscible displacement problem in porous media |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2401.01618 |