A novel vertex-centered finite volume method for solving Richards' equation and its adaptation to local mesh refinement

Qian, Yingzhi; Zhang, Xiaoping; Zhu, Yan; Ju, Lili; Guadagnini, Alberto; Huang, Jiesheng

doi:10.1016/j.jcp.2024.112766

This content will become publicly available on Sat Jan 18 00:00:00 EST 2025

Title: A novel vertex-centered finite volume method for solving Richards' equation and its adaptation to local mesh refinement

Authors:

Qian, Yingzhi;

; Zhu, Yan; Ju, Lili; Guadagnini, Alberto; Huang, Jiesheng

Publication Date:: Fri Mar 01 00:00:00 EST 2024

Sponsoring Org.:: USDOE

OSTI Identifier:: 2282176

Grant/Contract Number:: SC0022254

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Journal of Computational Physics

Additional Journal Information:: Journal Name: Journal of Computational Physics Journal Volume: 501 Journal Issue: C; Journal ID: ISSN 0021-9991

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Citation Formats


                    Qian, Yingzhi, Zhang, Xiaoping, Zhu, Yan, Ju, Lili, Guadagnini, Alberto, and Huang, Jiesheng. A novel vertex-centered finite volume method for solving Richards' equation and its adaptation to local mesh refinement.  United States: N. p., 2024. 
Web.  doi:10.1016/j.jcp.2024.112766.

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                    Qian, Yingzhi, Zhang, Xiaoping, Zhu, Yan, Ju, Lili, Guadagnini, Alberto, & Huang, Jiesheng. A novel vertex-centered finite volume method for solving Richards' equation and its adaptation to local mesh refinement.  United States.  https://doi.org/10.1016/j.jcp.2024.112766

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                    Qian, Yingzhi, Zhang, Xiaoping, Zhu, Yan, Ju, Lili, Guadagnini, Alberto, and Huang, Jiesheng. Fri .  
"A novel vertex-centered finite volume method for solving Richards' equation and its adaptation to local mesh refinement".  United States.  https://doi.org/10.1016/j.jcp.2024.112766.

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@article{osti_2282176,

  title        = {A novel vertex-centered finite volume method for solving Richards' equation and its adaptation to local mesh refinement},

  author       = {Qian, Yingzhi and Zhang, Xiaoping and Zhu, Yan and Ju, Lili and Guadagnini, Alberto and Huang, Jiesheng},

  abstractNote = {},

  doi          = {10.1016/j.jcp.2024.112766},

  journal      = {Journal of Computational Physics},

  number       = C,

  volume       = 501,

  place        = {United States},

  year         = {Fri Mar 01 00:00:00 EST 2024},

  month        = {Fri Mar 01 00:00:00 EST 2024}

}

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This content will become publicly available on Sat Jan 18 00:00:00 EST 2025

Title: A novel vertex-centered finite volume method for solving Richards' equation and its adaptation to local mesh refinement

Citation Formats

Modeling the effects of different irrigation water salinity on soil water movement, uptake and multicomponent solute transport journal, November 2015

Grid Cell Distortion and MODFLOW’s Integrated Finite‐Difference Numerical Solution journal, February 2006

Vertex-Centered Linearity-Preserving Schemes for Nonlinear Parabolic Problems on Polygonal Grids journal, October 2016

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Recent Developments and Applications of the HYDRUS Computer Software Packages journal, January 2016

SWAT: Model Use, Calibration, and Validation journal, January 2012

Evaluating the impacts of saline water irrigation on soil water-salt and summer maize yield in subsurface drainage condition using coupled HYDRUS and EPIC model journal, December 2021

Application of the mixed hybrid finite element approximation in a groundwater flow model: Luxury or necessity? journal, November 1994

A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media journal, June 1997

A vertex-centered and positivity-preserving scheme for anisotropic diffusion problems on arbitrary polygonal grids journal, September 2017

Numerical Solution of Richards' Equation: A Review of Advances and Challenges journal, October 2017

A study on iterative methods for solving Richards’ equation journal, March 2016

A general mass-conservative numerical solution for the unsaturated flow equation journal, July 1990

Multiphase flow in heterogeneous porous media: A classical finite element method versus an implicit pressure-explicit saturation-based mixed finite element-finite volume approach journal, April 1999

Developing joint probability distributions of soil water retention characteristics journal, May 1988

Experimental and numerical study of a transient, two-dimensional unsaturated-saturated water table recharge problem journal, October 1979

A vertex‐centered and positivity‐preserving scheme for anisotropic diffusion equations on general polyhedral meshes journal, October 2018

A Mortar Mixed Finite Volume Method for Elliptic Problems on Non-matching Multi-block Triangular Grids journal, March 2017

An open source massively parallel solver for Richards equation: Mechanistic modelling of water fluxes at the watershed scale journal, December 2014

An iterative multiscale finite volume algorithm converging to the exact solution journal, March 2011

An efficient soil water balance model based on hybrid numerical and statistical methods journal, April 2018

Development and evaluation of a local grid refinement method for block-centered finite-difference groundwater models using shared nodes journal, May 2002

Modelling the salt accumulation and leaching processes in arid agricultural areas with a new mass balance model journal, December 2020

A generalized Ross method for two- and three-dimensional variably saturated flow journal, April 2013

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A comparison of Picard and Newton iteration in the numerical solution of multidimensional variably saturated flow problems journal, December 1994

A Closed-form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils1 journal, January 1980

A spatially and temporally adaptive solution of Richards’ equation journal, April 2006

Capillary Conduction of Liquids Through Porous Mediums journal, November 1931

Relationship between the vertex-centered linearity-preserving scheme and the lowest-order virtual element method for diffusion problems on star-shaped polygons journal, June 2020

Review of soil water models and their applications in Australia journal, September 2008

Comparison of Iterative Methods for Improved Solutions of the Fluid Flow Equation in Partially Saturated Porous Media journal, June 1998

Modeling the effects of different irrigation water salinity on soil water movement, uptake and multicomponent solute transport
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Grid Cell Distortion and MODFLOW’s Integrated Finite‐Difference Numerical Solution
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Recent Developments and Applications of the HYDRUS Computer Software Packages
journal, January 2016

SWAT: Model Use, Calibration, and Validation
journal, January 2012

Evaluating the impacts of saline water irrigation on soil water-salt and summer maize yield in subsurface drainage condition using coupled HYDRUS and EPIC model
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Application of the mixed hybrid finite element approximation in a groundwater flow model: Luxury or necessity?
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A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media
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A vertex-centered and positivity-preserving scheme for anisotropic diffusion problems on arbitrary polygonal grids
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Numerical Solution of Richards' Equation: A Review of Advances and Challenges
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Developing joint probability distributions of soil water retention characteristics
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Experimental and numerical study of a transient, two-dimensional unsaturated-saturated water table recharge problem
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journal, June 2020

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