Work

Nonconforming virtual element method for an incompressible miscible displacement problem in porous media

Year: 2025

Type: article

Abstract: 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 ( div ) conforming virtual element method 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.

Source: Computers & Mathematics with Applications

DOI: 10.1016/j.camwa.2025.01.021

Authors: Sarvesh Kumar, Devika Shylaja

Institutions: Indian Institute of Space Science and Technology, Birla Institute of Technology and Science, Pilani - Goa Campus, Birla Institute of Technology and Science, Pilani

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,170

Funders: Department of Science and Technology, Ministry of Science and Technology, India, Science and Engineering Research Board, Indian Institute of Space Science and Technology