Journal
COMPUTERS & FLUIDS
Volume 141, Issue -, Pages 105-115Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compfluid.2015.11.002
Keywords
Meshfree methods; Reproducing Kernel Particle Method; Stabilized conforming nodal integration; Pressure projection; Fluid-saturated porous media; Coupled hydro-mechanical analysis
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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. (C) 2015 Elsevier Ltd. All rights reserved.
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