Comparison of an h- and h p-adaptive finite element solver for chemo-mechanically coupled battery electrode particles
Numerical investigations of mechanical stresses for phase transforming battery electrode materials on the particle scale are computationally highly demanding. The limitations are mainly induced by the strongly varying spatial and temporal scales of the underlying phase field model, which require an...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-11-01
|
| Series: | Examples and Counterexamples |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666657X22000180 |
| _version_ | 1811208131998384128 |
|---|---|
| author | G.F. Castelli W. Dörfler |
| author_facet | G.F. Castelli W. Dörfler |
| author_sort | G.F. Castelli |
| collection | DOAJ |
| description | Numerical investigations of mechanical stresses for phase transforming battery electrode materials on the particle scale are computationally highly demanding. The limitations are mainly induced by the strongly varying spatial and temporal scales of the underlying phase field model, which require an ultra fine mesh and time resolution, however, solely at specific stages in space and time. To overcome these numerical difficulties we present a general-purpose space and time adaptive solution algorithm based on an hp-adaptive finite element method and a variable-step, variable-order time integrator. At the example of a chemo-mechanical electrode particle model we demonstrate the computational savings gained by the hp-adaptivity. In particular, we compare the results to an h-adaptive finite element method and show the reduction of computational complexity. |
| first_indexed | 2024-04-12T04:16:37Z |
| format | Article |
| id | doaj.art-64d964d81c32425081bfaccb26132537 |
| institution | Directory Open Access Journal |
| issn | 2666-657X |
| language | English |
| last_indexed | 2024-04-12T04:16:37Z |
| publishDate | 2022-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Examples and Counterexamples |
| spelling | doaj.art-64d964d81c32425081bfaccb261325372022-12-22T03:48:22ZengElsevierExamples and Counterexamples2666-657X2022-11-012100083Comparison of an h- and h p-adaptive finite element solver for chemo-mechanically coupled battery electrode particlesG.F. Castelli0W. Dörfler1Karlsruhe Institute of Technology (KIT), Institute of Thermal Process Engineering, Kaiserstr. 12, 76131 Karlsruhe, Germany; Corresponding author.Karlsruhe Institute of Technology (KIT), Institute of Applied and Numerical Mathematics, Englerstr. 2, 76131 Karlsruhe, GermanyNumerical investigations of mechanical stresses for phase transforming battery electrode materials on the particle scale are computationally highly demanding. The limitations are mainly induced by the strongly varying spatial and temporal scales of the underlying phase field model, which require an ultra fine mesh and time resolution, however, solely at specific stages in space and time. To overcome these numerical difficulties we present a general-purpose space and time adaptive solution algorithm based on an hp-adaptive finite element method and a variable-step, variable-order time integrator. At the example of a chemo-mechanical electrode particle model we demonstrate the computational savings gained by the hp-adaptivity. In particular, we compare the results to an h-adaptive finite element method and show the reduction of computational complexity.http://www.sciencedirect.com/science/article/pii/S2666657X22000180hp-adaptivityFinite elementsBatteryCahn–HilliardPhase separationMechanics |
| spellingShingle | G.F. Castelli W. Dörfler Comparison of an h- and h p-adaptive finite element solver for chemo-mechanically coupled battery electrode particles Examples and Counterexamples hp-adaptivity Finite elements Battery Cahn–Hilliard Phase separation Mechanics |
| title | Comparison of an h- and h p-adaptive finite element solver for chemo-mechanically coupled battery electrode particles |
| title_full | Comparison of an h- and h p-adaptive finite element solver for chemo-mechanically coupled battery electrode particles |
| title_fullStr | Comparison of an h- and h p-adaptive finite element solver for chemo-mechanically coupled battery electrode particles |
| title_full_unstemmed | Comparison of an h- and h p-adaptive finite element solver for chemo-mechanically coupled battery electrode particles |
| title_short | Comparison of an h- and h p-adaptive finite element solver for chemo-mechanically coupled battery electrode particles |
| title_sort | comparison of an h and h p adaptive finite element solver for chemo mechanically coupled battery electrode particles |
| topic | hp-adaptivity Finite elements Battery Cahn–Hilliard Phase separation Mechanics |
| url | http://www.sciencedirect.com/science/article/pii/S2666657X22000180 |
| work_keys_str_mv | AT gfcastelli comparisonofanhandhpadaptivefiniteelementsolverforchemomechanicallycoupledbatteryelectrodeparticles AT wdorfler comparisonofanhandhpadaptivefiniteelementsolverforchemomechanicallycoupledbatteryelectrodeparticles |