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An analysis of the Robert–Asselin time filter for the correction of nonphysical acoustics in an artificial compression method
Author(s) -
DeCaria Victor,
Layton William,
McLaughlin Michael
Publication year - 2019
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22331
Subject(s) - filter (signal processing) , acoustics , compression (physics) , stability (learning theory) , mathematics , computer science , computer vision , physics , machine learning , thermodynamics
Artificial compression methods create nonphysical acoustic waves. Time filters, often used in geophysical fluid dynamics, are shown in this paper to selectively damp these acoustics. We analyze the stability of a two‐step artificial compression method with the Robert–Asselin (RA) time filter, and provide tests delineating the filter's positive effects on both stability and accuracy.