Please use this identifier to cite or link to this item: https://hdl.handle.net/1822/80208

TitleA new stabilised scheme for the Richards’ equation with evapotranspiration
Author(s)Machado, Gaspar J.
Pereira, Rui M. S.
Clain, Stéphane
Araújo, Nuno Miguel Faria
Lopes, S. O.
KeywordsNumerical scheme
Stability
Richards' equation
Evapotranspiration
Strang splitting
Issue date2022
PublisherElsevier
JournalGroundwater for Sustainable Development
CitationMachado, G. J., Pereira, R. M. S., Clain, S., Araújo, N., & Lopes, S. O. (2022, May). A new stabilised scheme for the Richards’ equation with evapotranspiration. Groundwater for Sustainable Development. Elsevier BV. http://doi.org/10.1016/j.gsd.2022.100736
Abstract(s)A new second-order stabilised numerical method for the Richards' equation with source term is proposed to solve the water infiltration in porous soil. This new method to solve Richard's equation is based on a modification of the head pressure representation with respect to the water content together with the hydraulic conductivity. We show that the modified relations provide stability while preserving the order and accuracy of the numerical solution. Furthermore, a new second-order positivity preserving scheme in time is implemented in substitution of the popular Crank-Nicolson technique. Applications to root suction in critical situations such as water saturation or rarefaction are carried out to highlight the benefits of the method. We also present a strategy to deal with multi-layers problem, by introducing a fixed point strategy to determine the complete solution on the whole domain.
TypeArticle
URIhttps://hdl.handle.net/1822/80208
DOI10.1016/j.gsd.2022.100736
ISSN2352-801X
e-ISSN2352-801X
Publisher versionhttps://www.sciencedirect.com/science/article/pii/S2352801X22000133
Peer-Reviewedyes
AccessRestricted access (UMinho)
Appears in Collections:PHYSICS OF QUANTUM MATERIALS AND BIONANOSTRUCTURES (2018 - ...)
ISISE - Artigos em Revistas Internacionais

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