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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Latest update: 31 Jan 2023
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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.