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Multiscale Modeling and Moisture Damage   429


         Concurrent Multiscale Modeling Method          Acronym  Developers
         Artificial Compressibility Method (Incompressible Flow)  ACM-IF  Chorin, 1967
         Atomistic to Continuum Coupling (Concurrent)   AtC      Fish et al., 2007
         Bridging Domain Method                         BDM      Xiao & Belytschko, 2004
         Bridging Scale Method                          BSM      Wagner and Liu, 2003
         Composite Grid Atomistic Continuum Method      CAC      Datta et al., 2004
         Coupled Atomistics and Discrete Dislocations   CADD     Shilkrot et al., 2004
         Continuum - Molecular Dynamics Models for Fluids  CCMD-F  Li et al., 1999
         Continuum - Molecular Dynamics Models for Solids  CCMD-S  E and Huang, 2002
         Cluster-Energy Quasi-Continuum Method          CE-QC    Eidel & Stukowski, 2008
         Cluster-Force Quasi-Continuum Method           CF-QC    Knap and Ortiz, 2001
         Coarse-Grained Monte Carlo                     CG-MC    Katsoulakis et al., 2003
         Coarse-Grained Molecular Dynamics              CG-MD    Rudd & Broughton, 1998
         Coupling of Length Scales Method               CLS      Rudd & Broughton, 2000
         Computational Materials Design Facility Method  CMDF    Buehler et al., 2005
         Car-Parrinello Method                          CPM      Car and Parrinello, 1985
         Discrete Simulation Monte Carlo                DSMC     Garcia et al., 1999
         Finite-Element/Atomistics Method               FEAt     Kohlhoff et al., 1991
         Ghost-Force Corrected Quasi-Continuum Method   GF-CQC   Shenoy et al., 1999
         Ghost-Force Corrected Cluster-Energy Quasi-Continuum  GF-CEQC  Tadmor et al., 2002
         Gas-Kinetic Scheme                             GKS      Xu & Prendergast, 1994
         Gap-Tooth Scheme                               GTS      Kevrekidis et al., 2003
         Heterogeneous Multiscale Modeling              HMM      E and Engquist, 2003
         Hybrid Simulation Method                       HSM      Luan, 2007
         Local Quasi-Continuum Method                   L-QC     Ericksen, 1984
         Coupled Local and Nonlocal Quasi-Continuum Method  L/NL-QC  Ortiz & Phillips, 1999
         Macroscopic, Atomistic, Ab Initio Dynamics     MAAD     Abraham et al., 1998
         Non-Local Quasi-Continuum Method               NL-QC    Tadmor et al., 1996
         Optimal Prediction                             OP       Chorin et al., 2002
         Projective Dynamics for Kinetic Monte Carlo    PD-KMC   Kolesik, 1998
         Quasi-Continuum –Density Functional Theory Method  QC-DFT  Tadmor et al., 2002
         Quantum Mechanics - Molecular Dynamics         QM-MM    Zhang et al., 1999
         Stochastic Ordinary Differential Equations     SODE     Vanden-Eijnden, 2003
         Virtual Internal Bond - Cauchy-Born Based Techniques  VIB  Gao and Klein, 1998
        TABLE 13.1  Summary of concurrent multiscale modeling methods.
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