An energy-stable convex splitting for the phase-field crystal equation
| dc.contributor.author | Vignal, P. | |
| dc.contributor.author | Dalcin, L. | |
| dc.contributor.author | Brown, D. | |
| dc.contributor.author | Collier, N. | |
| dc.contributor.author | Calo, Victor | |
| dc.date.accessioned | 2017-03-24T11:53:21Z | |
| dc.date.available | 2017-03-24T11:53:21Z | |
| dc.date.created | 2017-03-23T06:59:55Z | |
| dc.date.issued | 2015 | |
| dc.identifier.citation | Vignal, P. and Dalcin, L. and Brown, D. and Collier, N. and Calo, V. 2015. An energy-stable convex splitting for the phase-field crystal equation. Computers and Structures. 158: pp. 355-368. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/51476 | |
| dc.identifier.doi | 10.1016/j.compstruc.2015.05.029 | |
| dc.description.abstract |
The phase-field crystal equation, a parabolic, sixth-order and nonlinear partial differential equation, has generated considerable interest as a possible solution to problems arising in molecular dynamics. Nonetheless, solving this equation is not a trivial task, as energy dissipation and mass conservation need to be verified for the numerical solution to be valid. This work addresses these issues, and proposes a novel algorithm that guarantees mass conservation, unconditional energy stability and second-order accuracy in time. Numerical results validating our proofs are presented, and two and three dimensional simulations involving crystal growth are shown, highlighting the robustness of the method. | |
| dc.publisher | Elsevier Limited | |
| dc.title | An energy-stable convex splitting for the phase-field crystal equation | |
| dc.type | Journal Article | |
| dcterms.source.volume | 158 | |
| dcterms.source.startPage | 355 | |
| dcterms.source.endPage | 368 | |
| dcterms.source.issn | 0045-7949 | |
| dcterms.source.title | Computers and Structures | |
| curtin.department | Department of Applied Geology | |
| curtin.accessStatus | Open access |