Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 428, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2020.109934
Keywords
Multiscale methods; MsRSB; Multipoint flux approximation; Finite element method; Preconditioning; Geomechanics
Funding
- Stanford Graduate Fellowship in Science and Engineering (SGF)
- Total S.A. through the FC-MAELSTROM Project
- VISTA [6366]
- Equinor
- U.S. Department of Energy by Lawrence Livermore National Laboratory [DE-AC52-07-NA27344]
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A novel method is presented for applying the MsRSB method to non M-matrices, enhancing the original method with a filtering strategy to enforce M-matrix properties. The method is proven to be effective for scalar and vector problems with multipoint finite volume and finite element discretization schemes, through applications to porous media flow and linear elastic geomechanics. Realistic complex test cases are considered to illustrate the method's performance in two and three-dimensional scenarios.
A novel method to enable application of the Multiscale Restricted Smoothed Basis (MsRSB) method to non M-matrices is presented. The original MsRSB method is enhanced with a filtering strategy enforcing M-matrix properties to enable the robust application of MsRSB as a preconditioner. Through applications to porous media flow and linear elastic geomechanics, the method is proven to be effective for scalar and vector problems with multipoint finite volume (FV) and finite element (FE) discretization schemes, respectively. Realistic complex (un)structured twoand three-dimensional test cases are considered to illustrate the method's performance. (c) 2020 Elsevier Inc. All rights reserved.
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