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Damping numerical oscillations in hybrid solvers through detection of Gibbs phenomenon
Author(s) -
Chakravarthy V. Kalyana,
Chakraborty D.
Publication year - 2017
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.4367
Subject(s) - gibbs phenomenon , discontinuity (linguistics) , classification of discontinuities , physics , detector , turbulence , mechanics , shock wave , shock (circulatory) , compressible flow , classical mechanics , statistical physics , compressibility , mathematical analysis , mathematics , optics , medicine , quantum mechanics , fourier transform
Summary A Gibbs phenomenon detector that is useful in damping numerical oscillations in hybrid solvers for compressible turbulence is proposed and tested. It is designed to function in regions away from discontinuities where commonly used discontinuity sensors are ineffective. Using this Gibbs phenomenon detector in addition to a discontinuity sensor for combining central and shock capturing schemes provides an integrated way of dealing with numerical oscillations generated by shock waves and contact lines that are normal to the flow. When complete suppression of numerical oscillations is not possible, they are sufficiently localized. Canonical tests and large eddy simulations show that inclusion of the proposed detector does not cause additional damping of ‘well‐resolved’ physical oscillations. Copyright © 2017 John Wiley & Sons, Ltd.