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Posts by Nicolae Suciu

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

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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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