A stabilized nodally integrated meshfree formulation for fully coupled hydro-mechanical analysis of fluid-saturated porous media

Haoyan Wei, Jiun Shyan Chen, Michael Hillman

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Numerical modeling of reservoirs with low permeability or under undrained conditions often suffers from spurious fluid pressure oscillations due to the improper construction of approximation spaces. To address this issue, a fully coupled, stabilized meshfree formulation is developed based on a fluid pressure projection method, in which an additional stabilization term is added to the variational equation to correct the deficiency of the equal-order u–p reproducing kernel approximation. The projection scheme is formulated under the framework of the stabilized conforming nodal integration which enables a significant enhancement of the computational efficiency and accuracy, and the spurious low-energy modes of nodal integration are also eliminated. The effectiveness of the proposed stabilized meshfree formulation is demonstrated by solving several benchmark problems.

Original languageEnglish (US)
Pages (from-to)105-115
Number of pages11
JournalComputers and Fluids
StatePublished - Dec 15 2016


All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Engineering(all)

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