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

Nicolae Suciu; Florin A.  Radu; Emil Cătinaş

doi:10.33993/jnaat531-1429

Authors

Nicolae Suciu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania https://orcid.org/0000-0001-7436-8463
Florin A. Radu Center for Modeling of Coupled Subsurface Dynamics, University of Bergen, Norway https://orcid.org/0000-0002-2577-5684
Emil Cătinaş Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania https://orcid.org/0000-0002-1629-5267

DOI:

https://doi.org/10.33993/jnaat531-1429

Keywords:

Richards' equation, Coupled flow and transport, Finite differences, Global random walk, Iterative schemes, Convergence order

Abstract views: 164

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.

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References

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