Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/80208
Título: | A new stabilised scheme for the Richards’ equation with evapotranspiration |
Autor(es): | Machado, Gaspar J. Pereira, Rui M. S. Clain, Stéphane Araújo, Nuno Miguel Faria Lopes, S. O. |
Palavras-chave: | Numerical scheme Stability Richards' equation Evapotranspiration Strang splitting |
Data: | 2022 |
Editora: | Elsevier 1 |
Revista: | Groundwater for Sustainable Development |
Citação: | Machado, 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 |
Resumo(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. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/80208 |
DOI: | 10.1016/j.gsd.2022.100736 |
ISSN: | 2352-801X |
e-ISSN: | 2352-801X |
Versão da editora: | https://www.sciencedirect.com/science/article/pii/S2352801X22000133 |
Arbitragem científica: | yes |
Acesso: | Acesso restrito UMinho |
Aparece nas coleções: | PHYSICS OF QUANTUM MATERIALS AND BIONANOSTRUCTURES (2018 - ...) ISISE - Artigos em Revistas Internacionais |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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Paper_GJ_RP_SC_NA_SL.pdf Acesso restrito! | 8,43 MB | Adobe PDF | Ver/Abrir |