Model dynamics on a multigrid across multiple length and time scales
| dc.creator | Roberts, A. J. | |
| dc.date | 2008-02-08 | |
| dc.date.accessioned | 2026-07-07T09:19:33Z | |
| dc.date.available | 2026-07-07T09:19:33Z | |
| dc.description | Most methods for modelling dynamics posit just two time scales: a fast and a slow scale. But many applications, including many in continuum mechanics, possess a wide variety of space-time scales; often they possess a continuum of space-time scales. I discuss an approach to modelling the discretised dynamics of advection and diffusion with rigorous support for changing the resolved spatial grid scale by just a factor of two. The mapping of dynamics from a finer grid to a coarser grid is then iterated to generate a hierarchy of models across a wide range of space-time scales, all with rigorous support across the whole hierarchy. This approach empowers us with great flexibility in modelling complex dynamics over multiple scales. | |
| dc.identifier | https://arxiv.org/abs/0802.1098 | |
| dc.identifier | http://arxiv.org/abs/0802.1098 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154433 | |
| dc.subject | Cellular Automata and Lattice Gases | |
| dc.title | Model dynamics on a multigrid across multiple length and time scales | |
| dc.type | text |