Regional Groundwater Flow Modeling Using Improved Isogeometric Analysis: Application and Implications in Unconfined Aquifer Systems

Isogeometric Analysis (IGA) employs B-Splines and Non-Uniform Rational B-Splines (NURBS) to construct approximating functions, establishing a numerical approach for solving governing differential equations related to elliptic diffusion. In this study, IGA is implemented to model groundwater flow in unconfined aquifer systems bearing differ- ent geometries. The proposed IGA methodology exploits its approximating functions to intricately delineate the problem’s geometry, achieving this precision with a minimal set of control points. A novel boundary-updating formula is introduced, dynamically reposi- tioning fundamental points within each iteration to enhance accuracy. The efficacy of the improved IGA is verified through four numerical and benchmark simulations, including comparisons with analytical solutions. The IGA-derived results outperform the analytical solutions and closely align with the predicted heads of groundwater at the specified nodes using known numerical solutions (with less than 5% difference). Using IGA offers sev- eral benefits over analytical solutions, including enhanced continuity of the approximation solution and improved precision. The present formulation enables efficient simulation of groundwater flow, considering the exact aquifer domain geometry, while only requiring a small number of degrees of freedom. This innovative approach holds the potential to sig- nificantly expedite model creation, particularly in intricate structural scenarios, as it obvi- ates the need for intricate meshing and enables the simultaneous development of geometry and computational models

This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s11269-023-03631-9

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Work Title Regional Groundwater Flow Modeling Using Improved Isogeometric Analysis: Application and Implications in Unconfined Aquifer Systems
Access
Open Access
Creators
  1. Farhang Daneshmand
  2. Jan Adamowski
  3. Richard Martel
  4. Rahim Barzegar
  5. Shadi Hatami
Keyword
  1. Isogeometric Analysis
  2. NURBS function
  3. Groundwater flow
  4. Galerkin method
License In Copyright (Rights Reserved)
Work Type Article
Publisher
  1. Water Resources Management
Publication Date October 26, 2023
Publisher Identifier (DOI)
  1. https://doi.org/10.1007/s11269-023-03631-9
Deposited August 22, 2024

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Version 1
published

  • Created
  • Added IGA_WRM_Revised_Black.pdf
  • Added Creator Farhang Daneshmand
  • Added Creator Jan Adamowski
  • Added Creator Richard Martel
  • Added Creator Rahim Barzegar
  • Added Creator Shadi Hatami
  • Published
  • Updated
  • Updated Keyword Show Changes
    Keyword
    • Isogeometric Analysis, NURBS function, Groundwater flow, Galerkin method