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http://hdl.handle.net/1942/31851
Title: | Iterative schemes for surfactant transport in porous media | Authors: | Illiano, Davide POP, Sorin Radu, Florin |
Issue Date: | 2021 | Publisher: | SPRINGER | Source: | COMPUTATIONAL GEOSCIENCES, 25(2), p. 805-822 | Abstract: | In this work, we consider the transport of a surfactant in variably saturated porous media. The water flow is modelled by the Richards equations and it is fully coupled with the transport equation for the surfactant. Three linearization techniques are discussed: the Newton method, the modified Picard, and the L-scheme. Based on these, monolithic and splitting schemes are proposed and their convergence is analyzed. The performance of these schemes is illustrated on five numerical examples. For these examples, the number of iterations and the condition numbers of the linear systems emerging in each iteration are presented. In this work, we consider the transport of a surfactant in variably saturated porous media. The water flow is modelled by the Richards equations and it is fully coupled with the transport equation for the surfactant. Three linearization techniques are discussed: the Newton method, the modified Picard, and the L-scheme. Based on these, monolithic and splitting schemes are proposed and their convergence is analyzed. The performance of these schemes is illustrated on five numerical examples. For these examples, the number of iterations and the condition numbers of the linear systems emerging in each iteration are presented. |
Keywords: | Richards equation;Reactive transport;Linearization schemes;L-scheme;Modified Picard;Newton method;Splitting solvers | Document URI: | http://hdl.handle.net/1942/31851 | ISSN: | 1420-0597 | e-ISSN: | 1573-1499 | DOI: | 10.1007/s10596-020-09949-2 | ISI #: | 000539935000001 | Rights: | The Author(s) 2020 This article is licensed under a Creative Commons Attribution 4.0 International License, | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2022 |
Appears in Collections: | Research publications |
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s10596-020-09949-2.pdf | Published version | 1.08 MB | Adobe PDF | View/Open |
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