The macroscale boundary conditions for diffusion in a material with microscale varying diffusivities
Date
2014
Authors
Chen, C.
Roberts, A.
Bunder, J.
Editors
Roberts, A.
Bassom, A.
Hocking, G.
Nelson, M.
Popiel, T.
Bunder, J.
Borwein, J.
Rath, N.
AustMS,
Bassom, A.
Hocking, G.
Nelson, M.
Popiel, T.
Bunder, J.
Borwein, J.
Rath, N.
AustMS,
Advisors
Journal Title
Journal ISSN
Volume Title
Type:
Conference paper
Citation
ANZIAM Journal : Electronic Supplement, 2014 / Roberts, A., Bassom, A., Hocking, G., Nelson, M., Popiel, T., Bunder, J., Borwein, J., Rath, N., AustMS, (ed./s), vol.55, pp.C218-C234
Statement of Responsibility
Chen Chen, Anthony John Roberts, Judith Bunder
Conference Name
11th Engineering Mathematics and Applications Conference (EMAC2013) (1 Dec 2013 - 4 Dec 2013 : Brisbane, Qld.)
Abstract
Homogenization and other multiscale modelling techniques empower us to build efficient mathematical models for simulating materials with complicated microstructures. However, the modelling rarely systematically derives boundary conditions for the macroscale models. We build a smooth macroscale model for a two-layer one-dimensional lattice diffusion system with rapidly varying diffusivity and finite scale separation. We derive macroscale boundary conditions for this diffusion problem. Our approach is applicable to a range of multiscale modelling problems including wave equations.
School/Discipline
Dissertation Note
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© Copyright Australian Mathematical Society 2014