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Large‐scale simulation of shallow water waves via computation only on small staggered patches
Author(s) -
Bunder Judith E.,
Divahar Jayaraman,
Kevrekidis Ioannis G.,
Mattner Trent W.,
Roberts Anthony J.
Publication year - 2021
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4915
Subject(s) - microscale chemistry , computation , interpolation (computer graphics) , coupling (piping) , scale (ratio) , turbulence , waves and shallow water , statistical physics , computer science , wavenumber , mechanics , algorithm , mathematics , physics , classical mechanics , engineering , mechanical engineering , mathematics education , optics , quantum mechanics , motion (physics) , thermodynamics
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.