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https://hdl.handle.net/2440/88327
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Type: | Conference paper |
Title: | Multiscale modelling couples patches of wave-like simulations |
Author: | Cao, M. Roberts, A. |
Citation: | Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 2013 / McCue, S., Moroney, T., Mallett, D., Bunder, J. (ed./s), vol.54, iss.Suppl., pp.C153-C170 |
Publisher: | Cambridge University Press |
Issue Date: | 2013 |
ISSN: | 1446-1811 1446-8735 |
Conference Name: | 16th Computational Techniques and Applications Conference (CTAC2012) (23 Sep 2012 - 26 Sep 2012 : Brisbane, Qld.) |
Editor: | McCue, S. Moroney, T. Mallett, D. Bunder, J. |
Statement of Responsibility: | Meng Cao, A. J. Roberts |
Abstract: | A multiscale model is proposed to significantly reduce the expensive numerical simulations of complicated waves over large spatial domains. The multiscale model is built from given microscale simulations of complicated physical processes such as sea ice or turbulent shallow water. Our long term aim is to enable macroscale simulations obtained by coupling small patches of simulations together over large physical distances. This initial work explores the coupling of patch simulations of wave-like pdes. With the line of development being to water waves we discuss the dynamics of two complementary fields called the ‘depth’ h and ‘velocity’ u. A staggered grid is used for the microscale simulation of the depth h and velocity u. We introduce a macroscale staggered grid to couple the microscale patches. Linear or quadratic interpolation provides boundary conditions on the field in each patch. Linear analysis of the whole coupled multiscale system establishes that the resultant macroscale dynamics is appropriate. Numerical simulations support the linear analysis. This multiscale method should empower the feasible computation of large scale simulations of wave-like dynamics with complicated underlying physics. |
Rights: | Copyright status unknown |
DOI: | 10.0000/anziamj.v54i0.6137 |
Grant ID: | http://purl.org/au-research/grants/arc/DP120104260 |
Published version: | http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/6137 |
Appears in Collections: | Aurora harvest 7 Mathematical Sciences publications |
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