Multiscale modelling couples patches of wave-like simulations
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...
Main Authors: | , |
---|---|
Other Authors: | , , , , |
Format: | Conference Object |
Language: | English |
Published: |
Cambridge University Press
2013
|
Subjects: | |
Online Access: | http://hdl.handle.net/2440/88327 https://doi.org/10.0000/anziamj.v54i0.6137 |
id |
ftunivadelaidedl:oai:digital.library.adelaide.edu.au:2440/88327 |
---|---|
record_format |
openpolar |
spelling |
ftunivadelaidedl:oai:digital.library.adelaide.edu.au:2440/88327 2023-05-15T18:18:23+02:00 Multiscale modelling couples patches of wave-like simulations Cao, M. Roberts, A. McCue, S. Moroney, T. Mallett, D. Bunder, J. 16th Computational Techniques and Applications Conference (CTAC2012) (23 Sep 2012 - 26 Sep 2012 : Brisbane, Qld.) 2013 http://hdl.handle.net/2440/88327 https://doi.org/10.0000/anziamj.v54i0.6137 en eng Cambridge University Press http://purl.org/au-research/grants/arc/DP120104260 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 1446-1811 1446-8735 http://hdl.handle.net/2440/88327 doi:10.0000/anziamj.v54i0.6137 Roberts, A. [0000-0001-8930-1552] Copyright status unknown http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/6137 Conference paper 2013 ftunivadelaidedl https://doi.org/10.0000/anziamj.v54i0.6137 2023-02-05T19:13:17Z 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. Meng Cao, A. J. Roberts Conference Object Sea ice The University of Adelaide: Digital Library |
institution |
Open Polar |
collection |
The University of Adelaide: Digital Library |
op_collection_id |
ftunivadelaidedl |
language |
English |
description |
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. Meng Cao, A. J. Roberts |
author2 |
McCue, S. Moroney, T. Mallett, D. Bunder, J. 16th Computational Techniques and Applications Conference (CTAC2012) (23 Sep 2012 - 26 Sep 2012 : Brisbane, Qld.) |
format |
Conference Object |
author |
Cao, M. Roberts, A. |
spellingShingle |
Cao, M. Roberts, A. Multiscale modelling couples patches of wave-like simulations |
author_facet |
Cao, M. Roberts, A. |
author_sort |
Cao, M. |
title |
Multiscale modelling couples patches of wave-like simulations |
title_short |
Multiscale modelling couples patches of wave-like simulations |
title_full |
Multiscale modelling couples patches of wave-like simulations |
title_fullStr |
Multiscale modelling couples patches of wave-like simulations |
title_full_unstemmed |
Multiscale modelling couples patches of wave-like simulations |
title_sort |
multiscale modelling couples patches of wave-like simulations |
publisher |
Cambridge University Press |
publishDate |
2013 |
url |
http://hdl.handle.net/2440/88327 https://doi.org/10.0000/anziamj.v54i0.6137 |
genre |
Sea ice |
genre_facet |
Sea ice |
op_source |
http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/6137 |
op_relation |
http://purl.org/au-research/grants/arc/DP120104260 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 1446-1811 1446-8735 http://hdl.handle.net/2440/88327 doi:10.0000/anziamj.v54i0.6137 Roberts, A. [0000-0001-8930-1552] |
op_rights |
Copyright status unknown |
op_doi |
https://doi.org/10.0000/anziamj.v54i0.6137 |
_version_ |
1766194938508214272 |