Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/129719
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | Large‐scale simulation of shallow water waves via computation only on small staggered patches |
Author: | Bunder, J.E. Divahar, J. Kevrekidis, I.G. Mattner, T.W. Roberts, A.J. |
Citation: | International Journal for Numerical Methods in Fluids, 2021; 93(4):953-977 |
Publisher: | Wiley |
Issue Date: | 2021 |
ISSN: | 0271-2091 1097-0363 |
Statement of Responsibility: | Judith E. Bunder, Jayaraman Divahar, Ioannis G. Kevrekidis, Trent W. Mattner, Anthony J. Roberts |
Abstract: | A multiscale computational scheme is developed to use given small microscale simulations of complicated physical wave processes to empower macroscale system‐level predictions. By coupling small patches of simulations over unsimulated space, large savings in computational time are realizable. Here, we generalize the patch scheme to the case of wave systems on staggered grids in two‐dimensional (2D) space. Classic macroscale interpolation provides a generic coupling between patches that achieves consistency between the emergent macroscale simulation and the underlying microscale dynamics. Spectral analysis indicates that the resultant scheme empowers feasible computation of large macroscale simulations of wave systems even with complicated underlying physics. As an example of the scheme's application, we use it to simulate some simple scenarios of a given turbulent shallow water model. |
Keywords: | Finite difference; model reduction; nonlinear dynamics; partial differential equations; reduced-order modelling; shallow water; spectral |
Rights: | © 2020 John Wiley & Sons Ltd. |
DOI: | 10.1002/fld.4915 |
Grant ID: | http://purl.org/au-research/grants/arc/DP150102385 |
Published version: | http://dx.doi.org/10.1002/fld.4915 |
Appears in Collections: | Aurora harvest 8 Mathematical Sciences publications |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.