A Verified Conformal Decomposition Finite Element Method for Implicit, Many-Material Geometries

Roberts, Scott A.; Mendoza, Hector; Brunini, Victor E.; Noble, David R.

doi:10.1016/j.jcp.2018.08.022

A Verified Conformal Decomposition Finite Element Method for Implicit, Many-Material Geometries

Journal Article · Thu Aug 16 00:00:00 EDT 2018 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2018.08.022· OSTI ID:1466760

^[1]; Mendoza, Hector ^[1]; Brunini, Victor E. ^[1]; Noble, David R. ^[1]

Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

As computing power rapidly increases, quickly creating a representative and accurate discretization of complex geometries arises as a major hurdle towards achieving a next generation simulation capability. Component definitions may be in the form of solid (CAD) models or derived from 3D computed tomography (CT) data, and creating a surface-conformal discretization may be required to resolve complex interfacial physics. Furthermore, the Conformal Decomposition Finite Element Methods (CDFEM) has been shown to be an efficient algorithm for creating conformal tetrahedral discretizations of these implicit geometries without manual mesh generation.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States); Sandia National Laboratories, Livermore, CA (United States)

Sponsoring Organization:: USDOE; USDOE Office of Energy Efficiency and Renewable Energy (EERE), Vehicle Technologies Program (EE-2G)

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1466760

Alternate ID(s):: OSTI ID: 1702375
OSTI ID: 23078077

Report Number(s):: SAND--2018-9124J; 667127

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 375; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (20)

X-Ray Tomography of Porous, Transition Metal Oxide Based Lithium Ion Battery Electrodes Ebner, Martin; Geldmacher, Felix; Marone, Federica Advanced Energy Materials, Vol. 3, Issue 7 https://doi.org/10.1002/aenm.201200932	journal	March 2013
A conformal decomposition finite element method for arbitrary discontinuities on moving interfaces: CDFEM FOR ARBITRARY DISCONTINUITIES ON MOVING INTERFACES Kramer, Richard M. J.; Noble, David R. International Journal for Numerical Methods in Engineering, Vol. 100, Issue 2 https://doi.org/10.1002/nme.4717	journal	June 2014
Higher-order meshing of implicit geometries—Part I: Integration and interpolation in cut elements Fries, T. P.; Omerović, S.; Schöllhammer, D. Computer Methods in Applied Mechanics and Engineering, Vol. 313 https://doi.org/10.1016/j.cma.2016.10.019	journal	January 2017
Higher-order meshing of implicit geometries, Part II: Approximations on manifolds Fries, T. P.; Schöllhammer, D. Computer Methods in Applied Mechanics and Engineering, Vol. 326 https://doi.org/10.1016/j.cma.2017.07.037	journal	November 2017
Higher-order conformal decomposition FEM (CDFEM) Fries, T. P. Computer Methods in Applied Mechanics and Engineering, Vol. 328 https://doi.org/10.1016/j.cma.2017.08.046	journal	January 2018
Mechanical and Electrochemical Response of a LiCoO2 Cathode using Reconstructed Microstructures Mendoza, Hector; Roberts, Scott A.; Brunini, Victor E. Electrochimica Acta, Vol. 190 https://doi.org/10.1016/j.electacta.2015.12.224	journal	February 2016
Hexahedral Mesh Generation for Computational Materials Modeling Owen, Steven J.; Brown, Judith A.; Ernst, Corey D. Procedia Engineering, Vol. 203 https://doi.org/10.1016/j.proeng.2017.09.803	journal	January 2017
A review of extended/generalized finite element methods for material modeling Belytschko, Ted; Gracie, Robert; Ventura, Giulio Modelling and Simulation in Materials Science and Engineering, Vol. 17, Issue 4 https://doi.org/10.1088/0965-0393/17/4/043001	journal	April 2009
Incorporating physically-based microstructures in materials modeling: Bridging phase field and crystal plasticity frameworks Lim, Hojun; Abdeljawad, Fadi; Owen, Steven J. Modelling and Simulation in Materials Science and Engineering, Vol. 24, Issue 4 https://doi.org/10.1088/0965-0393/24/4/045016	journal	April 2016
The Conductivity of Lattices of Spheres. I. The Simple Cubic Lattice McPhedran, R. C.; McKenzie, D. R. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 359, Issue 1696 https://doi.org/10.1098/rspa.1978.0031	journal	January 1978
Effective conductivity of periodic arrays of spheres with interfacial resistance Cheng, H.; Torquato, S. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 453, Issue 1956 https://doi.org/10.1098/rspa.1997.0009	journal	January 1997
Bounding of effective thermal conductivities of multiscale materials by essential and natural boundary conditions Ostoja-Starzewski, M.; Schulte, J. Physical Review B, Vol. 54, Issue 1 https://doi.org/10.1103/PhysRevB.54.278	journal	July 1996
Signed Distance Computation Using the Angle Weighted Pseudonormal Baerentzen, J. A.; Aanaes, H. IEEE Transactions on Visualization and Computer Graphics, Vol. 11, Issue 3 https://doi.org/10.1109/TVCG.2005.49	journal	May 2005
A method to generate conformal finite-element meshes from 3D measurements of microstructurally small fatigue-crack propagation: 3D Meshes of Microstructurally Small Crack Growth Spear, A. D.; Hochhalter, J. D.; Cerrone, A. R. Fatigue & Fracture of Engineering Materials & Structures, Vol. 39, Issue 6 https://doi.org/10.1111/ffe.12449	journal	April 2016
Insights Into Lithium-Ion Battery Degradation and Safety Mechanisms From Mesoscale Simulations Using Experimentally Reconstructed Mesostructures Roberts, Scott A.; Mendoza, Hector; Brunini, Victor E. Journal of Electrochemical Energy Conversion and Storage, Vol. 13, Issue 3 https://doi.org/10.1115/1.4034410	journal	August 2016
Multiple interacting liquids Losasso, Frank; Shinar, Tamar; Selle, Andrew ACM Transactions on Graphics, Vol. 25, Issue 3 https://doi.org/10.1145/1141911.1141960	journal	July 2006
Robust inside-outside segmentation using generalized winding numbers Jacobson, Alec; Kavan, Ladislav; Sorkine-Hornung, Olga ACM Transactions on Graphics, Vol. 32, Issue 4 https://doi.org/10.1145/2461912.2461916	journal	July 2013
X-Ray Tomography for Lithium Ion Battery Research: A Practical Guide Pietsch, Patrick; Wood, Vanessa Annual Review of Materials Research, Vol. 47, Issue 1 https://doi.org/10.1146/annurev-matsci-070616-123957	journal	July 2017
A Framework for Three-Dimensional Mesoscale Modeling of Anisotropic Swelling and Mechanical Deformation in Lithium-Ion Electrodes Roberts, Scott A.; Brunini, Victor E.; Long, Kevin N. Journal of The Electrochemical Society, Vol. 161, Issue 11 https://doi.org/10.1149/2.0081411jes	journal	January 2014
Mesoscale Effective Property Simulations Incorporating Conductive Binder Trembacki, Bradley L.; Noble, David R.; Brunini, Victor E. Journal of The Electrochemical Society, Vol. 164, Issue 11 https://doi.org/10.1149/2.0601711jes	journal	January 2017

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Modeling curved interfaces without element‐partitioning in the extended finite element method Chin, Eric B.; Sukumar, N. International Journal for Numerical Methods in Engineering, Vol. 120, Issue 5 https://doi.org/10.1002/nme.6150	journal	July 2019
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Editors' Choice—Mesoscale Analysis of Conductive Binder Domain Morphology in Lithium-Ion Battery Electrodes Trembacki, Bradley L.; Mistry, Aashutosh N.; Noble, David R. Journal of The Electrochemical Society, Vol. 165, Issue 13 https://doi.org/10.1149/2.0981813jes	journal	January 2018

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