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An efficient low‐dissipative WENO filter scheme
Author(s) -
Kang Lei,
Lee ChunHian
Publication year - 2011
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.2555
Subject(s) - inviscid flow , filter (signal processing) , dissipation , dissipative system , classification of discontinuities , vortex , turbulence , computer science , computer simulation , mach number , nonlinear system , flow (mathematics) , mathematics , mechanics , mathematical analysis , physics , simulation , quantum mechanics , computer vision , thermodynamics
SUMMARY This paper presents a simple and efficient procedure developed for tracing discontinuities in flow fields. Numerical experiments are carried out to test the new sensor coupled with the associated nonlinear WENO dissipation filter developed to suppress the numerical dissipation. The tests show that, for a problem containing shocks and vortices, the implementation of the new sensor and an optimized WENO scheme can obtain a stable and highly resolved solution. The numerical experiments demonstrated that the new filter scheme performs efficiently both in parallel and serial running for one‐dimensional inviscid flow problems. Direct numerical simulation of a Mach 5 turbulent boundary layer over a flat plate was carried out to demonstrate the applicability of the scheme to the DNS practices. Copyright © 2011 John Wiley & Sons, Ltd.