Work

Iterative schemes for coupled flow and transport in porous media -- Convergence and truncation errors

Year: 2024

Type: article

Abstract: Nonlinearities of coupled flow and transport problems for partially saturated porous media are solved with explicit iterative L-schemes. Their behavior is analyzed with the aid of the computational orders of convergence. This approach allows highlighting the influence of the truncation errors in the numerical schemes on the convergence of the iterations. Further, by using manufactured exact solutions, error-based orders of convergence of the iterative schemes are assessed and the convergence of the numerical solutions is demonstrated numerically through grid-convergence tests.

Source: Journal of Numerical Analysis and Approximation Theory

DOI: 10.33993/jnaat531-1429

Authors: Nicolae Suciu, Florin A. Radu, Emil Cătinaş

Institutions: Tiberiu Popoviciu Institute of Numerical Analysis, University of Bergen

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funder: Equinor

OpenAlex ID: W4400525595

FWCI: 0.178

Cites: 20

Cited by: 1

Related to: 10