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

Hassane Maina, Fadji; Ackerer, Philippe

doi:https://doi.org/10.5194/hess-21-2667-2017

Articles | Volume 21, issue 6

https://doi.org/10.5194/hess-21-2667-2017

© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.

https://doi.org/10.5194/hess-21-2667-2017

© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.

Articles | Volume 21, issue 6

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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Final revised paper (published on 08 Jun 2017)
Preprint (discussion started on 20 Dec 2016)

Interactive discussion

Status: closed

AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment

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- Supplement

RC1: 'Review', Anonymous Referee #1, 08 Mar 2017
- AC1: 'The reply is in the supplementary file', Philippe Ackerer, 10 Apr 2017
RC2: 'Review', Anonymous Referee #2, 14 Mar 2017
- AC2: 'The reply is in the supplementary file.', Philippe Ackerer, 10 Apr 2017

Peer-review completion

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

AR by Philippe Ackerer on behalf of the Authors (10 May 2017)

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.