Articles | Volume 21, issue 6
Hydrol. Earth Syst. Sci., 21, 2667–2683, 2017
https://doi.org/10.5194/hess-21-2667-2017
Hydrol. Earth Syst. Sci., 21, 2667–2683, 2017
https://doi.org/10.5194/hess-21-2667-2017

Research article 08 Jun 2017

Research article | 08 Jun 2017

Ross scheme, Newton–Raphson iterative methods and time-stepping strategies for solving the mixed form of Richards' equation

Fadji Hassane Maina and Philippe Ackerer

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Status: closed
Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
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AR: Author's response | RR: Referee report | ED: Editor decision
ED: Publish subject to revisions (further review by Editor and Referees) (12 Apr 2017) by Brian Berkowitz
AR by Philippe Ackerer on behalf of the Authors (05 May 2017)  Author's response    Manuscript
ED: Publish as is (08 May 2017) by Brian Berkowitz
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Short summary
In many fields like climate change, hydrology and agronomy, water movement in unsaturated soils is usually simulated using the Richards equation. However, this equation requires lot of computational effort to be solved due to its highly nonlinear behavior, which hampers its use in simulations. In this paper, we analyze and developed some numerical strategies and we evaluate their reliability and efficiency.