A control volume scheme using compact integrated radial basis function stencils for solving the Richards equation

Detalhes bibliográficos
Autor(a) principal: Duc Ngo-Cong
Data de Publicação: 2020
Outros Autores: Nam Mai-Duy, Antille, Diogenes L., van Genuchten, Martinus Th [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.jhydrol.2019.124240
http://hdl.handle.net/11449/195166
Resumo: A new control volume approach is developed based on compact integrated radial basis function (CIRBF) stencils for solution of the highly nonlinear Richards equation describing transient water flow in variably saturated soils. Unlike the conventional control volume method, which is regarded as second-order accurate, the proposed approach has high-order accuracy owing to the use of a compact integrated radial basis function approximation that enables improved flux predictions. The method is used to solve the Richards equation for transient flow in 1D homogeneous and heterogeneous soil profiles. Numerical results for different boundary conditions, initial conditions and soil types are shown to be in good agreement with Warrick's semi-analytical solution and simulations using the HYDRUS-1D software package. Results obtained with the proposed method were far less dependent upon the grid spacing than the HYDRUS-1D finite element solutions.
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spelling A control volume scheme using compact integrated radial basis function stencils for solving the Richards equationRichards equationFinite volume methodIntegrated radial basis functionCompact stencilUnsaturated flowA new control volume approach is developed based on compact integrated radial basis function (CIRBF) stencils for solution of the highly nonlinear Richards equation describing transient water flow in variably saturated soils. Unlike the conventional control volume method, which is regarded as second-order accurate, the proposed approach has high-order accuracy owing to the use of a compact integrated radial basis function approximation that enables improved flux predictions. The method is used to solve the Richards equation for transient flow in 1D homogeneous and heterogeneous soil profiles. Numerical results for different boundary conditions, initial conditions and soil types are shown to be in good agreement with Warrick's semi-analytical solution and simulations using the HYDRUS-1D software package. Results obtained with the proposed method were far less dependent upon the grid spacing than the HYDRUS-1D finite element solutions.University of Southern Queensland, AustraliaBasin Studies Laboratory (LEBAC) of the Department of GeologyCenter for Environmental Studies (CEA) of UNESP in BrazilUniv Southern Queensland, Inst Adv Engn & Space Sci, Toowoomba, Qld 4350, AustraliaUniv Southern Queensland, Fac Hlth Engn & Sci, Sch Mech & Elect Engn, Toowoomba, Qld 4350, AustraliaCSIRO Agr & Food, Canberra, ACT 2601, AustraliaUniv Southern Queensland, Ctr Agr Engn, Toowoomba, Qld 4350, AustraliaUniv Fed Rio de Janeiro, Dept Nucl Engn, Rio De Janeiro, BrazilSao Paulo State Univ, Ctr Environm Studies, CEA, Rio Claro, BrazilSao Paulo State Univ, Ctr Environm Studies, CEA, Rio Claro, BrazilElsevier B.V.Univ Southern QueenslandCSIRO Agr & FoodUniversidade Federal do Rio de Janeiro (UFRJ)Universidade Estadual Paulista (Unesp)Duc Ngo-CongNam Mai-DuyAntille, Diogenes L.van Genuchten, Martinus Th [UNESP]2020-12-10T17:06:45Z2020-12-10T17:06:45Z2020-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10http://dx.doi.org/10.1016/j.jhydrol.2019.124240Journal Of Hydrology. Amsterdam: Elsevier, v. 580, 10 p., 2020.0022-1694http://hdl.handle.net/11449/19516610.1016/j.jhydrol.2019.124240WOS:000509620900003Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal Of Hydrologyinfo:eu-repo/semantics/openAccess2021-10-22T20:36:17Zoai:repositorio.unesp.br:11449/195166Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:04:40.035488Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv A control volume scheme using compact integrated radial basis function stencils for solving the Richards equation
title A control volume scheme using compact integrated radial basis function stencils for solving the Richards equation
spellingShingle A control volume scheme using compact integrated radial basis function stencils for solving the Richards equation
Duc Ngo-Cong
Richards equation
Finite volume method
Integrated radial basis function
Compact stencil
Unsaturated flow
title_short A control volume scheme using compact integrated radial basis function stencils for solving the Richards equation
title_full A control volume scheme using compact integrated radial basis function stencils for solving the Richards equation
title_fullStr A control volume scheme using compact integrated radial basis function stencils for solving the Richards equation
title_full_unstemmed A control volume scheme using compact integrated radial basis function stencils for solving the Richards equation
title_sort A control volume scheme using compact integrated radial basis function stencils for solving the Richards equation
author Duc Ngo-Cong
author_facet Duc Ngo-Cong
Nam Mai-Duy
Antille, Diogenes L.
van Genuchten, Martinus Th [UNESP]
author_role author
author2 Nam Mai-Duy
Antille, Diogenes L.
van Genuchten, Martinus Th [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Univ Southern Queensland
CSIRO Agr & Food
Universidade Federal do Rio de Janeiro (UFRJ)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Duc Ngo-Cong
Nam Mai-Duy
Antille, Diogenes L.
van Genuchten, Martinus Th [UNESP]
dc.subject.por.fl_str_mv Richards equation
Finite volume method
Integrated radial basis function
Compact stencil
Unsaturated flow
topic Richards equation
Finite volume method
Integrated radial basis function
Compact stencil
Unsaturated flow
description A new control volume approach is developed based on compact integrated radial basis function (CIRBF) stencils for solution of the highly nonlinear Richards equation describing transient water flow in variably saturated soils. Unlike the conventional control volume method, which is regarded as second-order accurate, the proposed approach has high-order accuracy owing to the use of a compact integrated radial basis function approximation that enables improved flux predictions. The method is used to solve the Richards equation for transient flow in 1D homogeneous and heterogeneous soil profiles. Numerical results for different boundary conditions, initial conditions and soil types are shown to be in good agreement with Warrick's semi-analytical solution and simulations using the HYDRUS-1D software package. Results obtained with the proposed method were far less dependent upon the grid spacing than the HYDRUS-1D finite element solutions.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-10T17:06:45Z
2020-12-10T17:06:45Z
2020-01-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1016/j.jhydrol.2019.124240
Journal Of Hydrology. Amsterdam: Elsevier, v. 580, 10 p., 2020.
0022-1694
http://hdl.handle.net/11449/195166
10.1016/j.jhydrol.2019.124240
WOS:000509620900003
url http://dx.doi.org/10.1016/j.jhydrol.2019.124240
http://hdl.handle.net/11449/195166
identifier_str_mv Journal Of Hydrology. Amsterdam: Elsevier, v. 580, 10 p., 2020.
0022-1694
10.1016/j.jhydrol.2019.124240
WOS:000509620900003
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal Of Hydrology
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 10
dc.publisher.none.fl_str_mv Elsevier B.V.
publisher.none.fl_str_mv Elsevier B.V.
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129389592838144

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