New Ghost-Node Method for Linking Different Models with Varied Grid Refinement

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A flexible, robust method for linking grids of locally refined models constructed with different numerical methods is needed to address a variety of hydrologic problems. This work outlines and tests a new ghost-node model-linking method for a refined ''child'' model that is contained within a larger and coarser ''parent'' model that is based on the iterative method of Mehl and Hill (2002, 2004). The method is applicable to steady-state solutions for ground-water flow. Tests are presented for a homogeneous two-dimensional system that has either matching grids (parent cells border an integer number of child cells; Figure 2a) or non-matching grids ... continued below

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James, Scott C.; Dickinson, Jesse E.; Mehl, Steffen W.; Hill, Mary C.; Leake, Stanley A.; Zyvoloski, George A. et al. February 15, 2006.

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A flexible, robust method for linking grids of locally refined models constructed with different numerical methods is needed to address a variety of hydrologic problems. This work outlines and tests a new ghost-node model-linking method for a refined ''child'' model that is contained within a larger and coarser ''parent'' model that is based on the iterative method of Mehl and Hill (2002, 2004). The method is applicable to steady-state solutions for ground-water flow. Tests are presented for a homogeneous two-dimensional system that has either matching grids (parent cells border an integer number of child cells; Figure 2a) or non-matching grids (parent cells border a non-integer number of child cells; Figure 2b). The coupled grids are simulated using the finite-difference and finite-element models MODFLOW and FEHM, respectively. The simulations require no alteration of the MODFLOW or FEHM models and are executed using a batch file on Windows operating systems. Results indicate that when the grids are matched spatially so that nodes and child cell boundaries are aligned, the new coupling technique has error nearly equal to that when coupling two MODFLOW models (Mehl and Hill, 2002). When the grids are non-matching, model accuracy is slightly increased over matching-grid cases. Overall, results indicate that the ghost-node technique is a viable means to accurately couple distinct models because the overall error is less than if only the regional model was used to simulate flow in the child model's domain.

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  • Report No.: NA
  • Grant Number: NA
  • DOI: 10.2172/884895 | External Link
  • Office of Scientific & Technical Information Report Number: 884895
  • Archival Resource Key: ark:/67531/metadc876020

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  • February 15, 2006

Added to The UNT Digital Library

  • Sept. 21, 2016, 2:29 a.m.

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  • July 13, 2017, 12:13 p.m.

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James, Scott C.; Dickinson, Jesse E.; Mehl, Steffen W.; Hill, Mary C.; Leake, Stanley A.; Zyvoloski, George A. et al. New Ghost-Node Method for Linking Different Models with Varied Grid Refinement, report, February 15, 2006; Las Vegas, Nevada. (digital.library.unt.edu/ark:/67531/metadc876020/: accessed May 22, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.