A Local Grid-Refined Numerical Groundwater Model Based on the Vertex-centred Finite-Volume Method

Qian, Yingzhi; Zhu, Yan; Zhang, Xiaoping; Wu, Jiming; Ye, Ming; Mao, Wei; Wu, Jingwei; Huang, Jie‐Sheng; Yang, Jinzhong

doi:10.1016/j.advwatres.2023.104392

Cited by 2 publications

(1 citation statement)

References 54 publications

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“…Our approach is based on a Vertex-Centered Finite Volume Method (hereinafter referred to as VCFVM) and sets all unknowns on grid vertices. It should be noted that the vertex-centered finite volume method has been widely studied for solving anisotropic diffusion/parabolic equations on general polygonal/polyhedral meshes in the past decade, see [41,40,45,36,5,29]. The numerical scheme proposed in this paper is partially inherited from [29], but substantial modifications in the spatial and temporal discretization have been made to consider the properties of Richards' equation, including the advection flux involved and the high nonlinearity between the soil hydraulic parameters and the soil water potential.…”

Section: Introductionmentioning

confidence: 99%

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

Qian,

Zhang,

Zhu

et al. 2024

Journal of Computational Physics

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Section: Introductionmentioning

confidence: 99%

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

Qian,

Zhang,

Zhu

et al. 2024

Journal of Computational Physics

Self Cite

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Exploring Simulation–Optimization for Sustainable Groundwater Management: A Critical Review

Mishra,

Gaur,

Kacem

et al. 2024

CLEAN Soil Air Water

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Simulation–optimization (S–O) is a well‐regarded method for solving groundwater (GW) management problems. Although S–O has significantly improved the decision support system for GW management, it still lacks practical applicability. As a result, many researchers have been improving its components, leading to slightly or significantly better performance. To understand these challenges efficiently, this article delves into principal components of S–O that offer in‐depth critical insights into GW's sustainability. The discussed segments are divided into simulation models, optimization methods, categories and conceptualization of management problems, and the formulation of real‐world objective functions. This review also examines surrogate‐assisted simulation models to reduce computational challenges. Methods to address model uncertainty and decision‐making in applying S–O for sustained yield problems are addressed. The review outlays critical steps in S–O methodology and recommends potential research directions to aid researchers in further enhancing the practicality of S–O.

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A Local Grid-Refined Numerical Groundwater Model Based on the Vertex-centred Finite-Volume Method

Cited by 2 publications

References 54 publications

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

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

Exploring Simulation–Optimization for Sustainable Groundwater Management: A Critical Review

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