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

Autor:	Nicolae Suciu, Florin A. Radu, Emil Cătinaş
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Richards' equation Coupled flow and transport Finite differences Global random walk Iterative schemes Convergence order Mathematics QA1-939
Zdroj:	Journal of Numerical Analysis and Approximation Theory, Vol 53, Iss 1 (2024)
Druh dokumentu:	article
ISSN:	2457-6794 2501-059X
DOI:	10.33993/jnaat531-1429
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/d78eda2f7a1442408941a786b3387262 Zobrazit plný text záznamu View record in DOAJ