Patch dynamics for macroscale modelling in one dimension
Date
2012
Authors
Bunder, J.
Roberts, A.
Editors
Advisors
Journal Title
Journal ISSN
Volume Title
Type:
Conference paper
Citation
Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 2012, vol.53, iss.SUPPL, pp.280-295
Statement of Responsibility
Conference Name
Engineering Mathematics and Applications Conference (4 Dec 2011 - 7 Dec 2011 : Australia)
Abstract
We discuss efficient macroscale modelling of microscale systems using patch dynamics. This pilot study effectively homogenises microscale varying diffusion in one dimension. The `equation free' approach requires that the microscale model be solved only on small spatial patches. Suitable boundary conditions ensure that these patches are well coupled. By centre manifold theory, an emergent closed model exists on the macroscale. Patch dynamics systematically approximates this macroscale model. The modelling is readily adaptable to higher dimensions and to reaction-diffusion equations.
School/Discipline
Dissertation Note
Provenance
Description
Proceedings of the 10th Biennial Engineering Mathematics and Applications Conference (EMAC2011) held at University Technology Sydney in December 2011
Access Status
Rights
© Austral. Mathematical Soc. 2012.