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.
Authors
Nicolae Suciu
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania
Florin A. Radu
Center for Modeling of Coupled Subsurface Dynamics, University of Bergen, Norway
Emil Cătinaş
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania
Keywords
Richards’ equation; coupled flow and transport; finite differences; global random walk; iterative schemes; convergence order
Paper coordinates
N. Suciu, F.A. Radu, E. Cătinaş, Iterative schemes for coupled flow and transport in porous media – Convergence and truncation errors, J. Numer. Anal. Approx. Theory, 53 (2024) no. 1, pp. 158-183, https://doi.org/10.33993/jnaat531-1429
About this paper
Journal
Journal of Numerical Analysis and Approximation Theory
Publisher Name
Romanian Academy Publishing House
Editura Academiei Romane
Print ISSN
2457-6794
Online ISSN
2501-059X
google scholar link
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