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Comparison between cell-centered and nodal-based discretization schemes for linear elasticity

Comparison between cell-centered and nodal-based discretization schemes for linear elasticity

Category
Journal publication
Abstract
In this paper, we study newly developed methods for linear elasticity on polyhedral meshes. Our emphasis is on applications of the methods to geological models. Models of subsurface, and in particular sedimentary rocks, naturally lead to general polyhedral meshes. Numerical methods which can directly handle such representation are highly desirable. Many of the numerical challenges in simulation of subsurface applications come from the lack of robustness and accuracy of numerical methods in the case of highly distorted grids. In this paper, we investigate and compare the Multi-Point Stress Approximation (MPSA) and the Virtual Element Method (VEM) with regard to grid features that are frequently seen in geological models and likely to lead to a lack of accuracy of the methods. In particular, we look at how the methods perform near the incompressible limit. This work shows that both methods are promising for flexible modeling of subsurface mechanics.
Client
  • Norges forskningsråd / 233736
  • Norges forskningsråd / 250223
  • Norges forskningsråd / 228832
Language
English
Author(s)
Affiliation
  • SINTEF Digital / Mathematics and Cybernetics
  • University of Bergen
  • Princeton University
Year
2017
Published in
Computational Geosciences
ISSN
1420-0597
Publisher
Springer Netherlands