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...
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ftaustralianmsoj:oai:journal.austms.org.au:article/6137 2023-05-15T18:18:24+02:00 Multiscale modelling couples patches of wave-like simulations Cao, Meng Roberts, A. J. 2013-05-15 application/pdf application/octet-stream https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/6137 eng eng Australian Mathematical Society https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/6137/1674 https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/6137/1683 https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/6137 ANZIAM Journal; Vol. 54 (2012); C153--C170 1445-8810 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer reviewed conference article 2013 ftaustralianmsoj 2022-02-28T12:00:26Z 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. Article in Journal/Newspaper Sea ice Australian Mathematical Society (AustMS): E-Journals ANZIAM Journal 54 153 |
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Open Polar |
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Australian Mathematical Society (AustMS): E-Journals |
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ftaustralianmsoj |
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. |
format |
Article in Journal/Newspaper |
author |
Cao, Meng Roberts, A. J. |
spellingShingle |
Cao, Meng Roberts, A. J. Multiscale modelling couples patches of wave-like simulations |
author_facet |
Cao, Meng Roberts, A. J. |
author_sort |
Cao, Meng |
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 |
Australian Mathematical Society |
publishDate |
2013 |
url |
https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/6137 |
genre |
Sea ice |
genre_facet |
Sea ice |
op_source |
ANZIAM Journal; Vol. 54 (2012); C153--C170 1445-8810 |
op_relation |
https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/6137/1674 https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/6137/1683 https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/6137 |
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ANZIAM Journal |
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54 |
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153 |
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1766194960201154560 |