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

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

Journal Article · 29 February 2024 · Journal of Computational Physics

DOI: https://doi.org/10.1016/j.jcp.2024.112766 · OSTI ID:2282176

Qian, Yingzhi;

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

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0022254

OSTI ID:: 2282176

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: C Vol. 501; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (32)

Multiphase flow in heterogeneous porous media: A classical finite element method versus an implicit pressure-explicit saturation-based mixed finite element-finite volume approach Huber, R.; Helmig, R. International Journal for Numerical Methods in Fluids, Vol. 29, Issue 8 https://doi.org/10.1002/(SICI)1097-0363(19990430)29:8<899::AID-FLD715>3.0.CO;2-W	journal	April 1999
A vertex‐centered and positivity‐preserving scheme for anisotropic diffusion equations on general polyhedral meshes Su, Shuai; Dong, Qiannan; Wu, Jiming Mathematical Methods in the Applied Sciences, Vol. 42, Issue 1 https://doi.org/10.1002/mma.5324	journal	October 2018
A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media Hou, Thomas Y.; Wu, Xiao-Hui Journal of Computational Physics, Vol. 134, Issue 1 https://doi.org/10.1006/jcph.1997.5682	journal	June 1997
A study on iterative methods for solving Richards’ equation List, Florian; Radu, Florin A. Computational Geosciences, Vol. 20, Issue 2 https://doi.org/10.1007/s10596-016-9566-3	journal	March 2016
Vertex-Centered Linearity-Preserving Schemes for Nonlinear Parabolic Problems on Polygonal Grids Wu, Jiming Journal of Scientific Computing, Vol. 71, Issue 2 https://doi.org/10.1007/s10915-016-0309-3	journal	October 2016
A Mortar Mixed Finite Volume Method for Elliptic Problems on Non-matching Multi-block Triangular Grids Gao, Yanni; Li, Yonghai Journal of Scientific Computing, Vol. 73, Issue 1 https://doi.org/10.1007/s10915-017-0405-z	journal	March 2017
Development and evaluation of a local grid refinement method for block-centered finite-difference groundwater models using shared nodes Mehl, Steffen; Hill, Mary C. Advances in Water Resources, Vol. 25, Issue 5 https://doi.org/10.1016/S0309-1708(02)00021-0	journal	May 2002
A spatially and temporally adaptive solution of Richards’ equation Miller, Cass T.; Abhishek, Chandra; Farthing, Matthew W. Advances in Water Resources, Vol. 29, Issue 4 https://doi.org/10.1016/j.advwatres.2005.06.008	journal	April 2006
Local discontinuous Galerkin approximations to Richards’ equation Li, H.; Farthing, M. W.; Dawson, C. N. Advances in Water Resources, Vol. 30, Issue 3 https://doi.org/10.1016/j.advwatres.2006.04.011	journal	March 2007
A generalized Ross method for two- and three-dimensional variably saturated flow Zha, Yuanyuan; Shi, Liangsheng; Ye, Ming Advances in Water Resources, Vol. 54 https://doi.org/10.1016/j.advwatres.2013.01.002	journal	April 2013
A Local Grid-Refined Numerical Groundwater Model Based on the Vertex-centred Finite-Volume Method Qian, Yingzhi; Zhu, Yan; Zhang, Xiaoping Advances in Water Resources, Vol. 173 https://doi.org/10.1016/j.advwatres.2023.104392	journal	March 2023
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 Feng, Genxiang; Zhu, Chengli; Wu, Qingfeng Agricultural Water Management, Vol. 258 https://doi.org/10.1016/j.agwat.2021.107175	journal	December 2021
Relationship between the vertex-centered linearity-preserving scheme and the lowest-order virtual element method for diffusion problems on star-shaped polygons Dong, Qiannan; Wu, Jiming; Su, Shuai Computers & Mathematics with Applications, Vol. 79, Issue 11 https://doi.org/10.1016/j.camwa.2020.01.009	journal	June 2020
An open source massively parallel solver for Richards equation: Mechanistic modelling of water fluxes at the watershed scale Orgogozo, L.; Renon, N.; Soulaine, C. Computer Physics Communications, Vol. 185, Issue 12 https://doi.org/10.1016/j.cpc.2014.08.004	journal	December 2014
Review of soil water models and their applications in Australia Ranatunga, K.; Nation, E.; Barratt, D. Environmental Modelling & Software, Vol. 23, Issue 9 https://doi.org/10.1016/j.envsoft.2008.02.003	journal	September 2008
An iterative multiscale finite volume algorithm converging to the exact solution Lunati, Ivan; Tyagi, Manav; Lee, Seong H. Journal of Computational Physics, Vol. 230, Issue 5 https://doi.org/10.1016/j.jcp.2010.11.036	journal	March 2011
A vertex-centered and positivity-preserving scheme for anisotropic diffusion problems on arbitrary polygonal grids Zhang, Xiaoping; Su, Shuai; Wu, Jiming Journal of Computational Physics, Vol. 344 https://doi.org/10.1016/j.jcp.2017.04.070	journal	September 2017
Modeling the effects of different irrigation water salinity on soil water movement, uptake and multicomponent solute transport Lekakis, E. H.; Antonopoulos, V. Z. Journal of Hydrology, Vol. 530 https://doi.org/10.1016/j.jhydrol.2015.09.070	journal	November 2015
An efficient soil water balance model based on hybrid numerical and statistical methods Mao, Wei; Yang, Jinzhong; Zhu, Yan Journal of Hydrology, Vol. 559 https://doi.org/10.1016/j.jhydrol.2018.02.074	journal	April 2018
Modelling the salt accumulation and leaching processes in arid agricultural areas with a new mass balance model Mao, Wei; Zhu, Yan; Wu, Jingwei Journal of Hydrology, Vol. 591 https://doi.org/10.1016/j.jhydrol.2020.125329	journal	December 2020
Comparison of Iterative Methods for Improved Solutions of the Fluid Flow Equation in Partially Saturated Porous Media Lehmann, F.; Ackerer, Ph. Transport in Porous Media, Vol. 31, Issue 3, p. 275-292 https://doi.org/10.1023/A:1006555107450	journal	June 1998
Application of the mixed hybrid finite element approximation in a groundwater flow model: Luxury or necessity? Mosé, R.; Siegel, P.; Ackerer, P. Water Resources Research, Vol. 30, Issue 11 https://doi.org/10.1029/94WR01786	journal	November 1994
A comparison of Picard and Newton iteration in the numerical solution of multidimensional variably saturated flow problems Paniconi, Claudio; Putti, Mario Water Resources Research, Vol. 30, Issue 12 https://doi.org/10.1029/94WR02046	journal	December 1994
Experimental and numerical study of a transient, two-dimensional unsaturated-saturated water table recharge problem Vauclin, M.; Khanji, D.; Vachaud, G. Water Resources Research, Vol. 15, Issue 5 https://doi.org/10.1029/WR015i005p01089	journal	October 1979
Developing joint probability distributions of soil water retention characteristics Carsel, Robert F.; Parrish, Rudolph S. Water Resources Research, Vol. 24, Issue 5 https://doi.org/10.1029/WR024i005p00755	journal	May 1988
A general mass-conservative numerical solution for the unsaturated flow equation Celia, Michael A.; Bouloutas, Efthimios T.; Zarba, Rebecca L. Water Resources Research, Vol. 26, Issue 7 https://doi.org/10.1029/WR026i007p01483	journal	July 1990
Capillary Conduction of Liquids Through Porous Mediums Richards, L. A. Physics, Vol. 1, Issue 5 https://doi.org/10.1063/1.1745010	journal	November 1931
Grid Cell Distortion and MODFLOW’s Integrated Finite‐Difference Numerical Solution Romero, Dave M.; Silver, Steven E. Groundwater, Vol. 44, Issue 6 https://doi.org/10.1111/j.1745-6584.2005.00179.x	journal	February 2006
SWAT: Model Use, Calibration, and Validation Transactions of the ASABE, Vol. 55, Issue 4 https://doi.org/10.13031/2013.42256	journal	January 2012
A Closed-form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils1 van Genuchten, M. Th. Soil Science Society of America Journal, Vol. 44, Issue 5 https://doi.org/10.2136/sssaj1980.03615995004400050002x	journal	January 1980
Numerical Solution of Richards' Equation: A Review of Advances and Challenges Farthing, Matthew W.; Ogden, Fred L. Soil Science Society of America Journal, Vol. 81, Issue 6 https://doi.org/10.2136/sssaj2017.02.0058	journal	October 2017
Recent Developments and Applications of the HYDRUS Computer Software Packages Šimůnek, Jiří; van Genuchten, Martinus Th.; Šejna, Miroslav Vadose Zone Journal, Vol. 15, Issue 7 https://doi.org/10.2136/vzj2016.04.0033	journal	January 2016

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