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Analysis of super compact finite difference method and application to simulation of vortex–shock interaction
Author(s) -
Dexun Fu,
Yanwen Ma
Publication year - 2001
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.155
Subject(s) - compact finite difference , vortex , shock (circulatory) , turbulence , compressible flow , flow (mathematics) , finite difference , finite difference method , mathematics , noise (video) , computational aeroacoustics , computational fluid dynamics , compressibility , finite volume method , navier–stokes equations , mathematical analysis , aeroacoustics , physics , computer science , geometry , mechanics , acoustics , medicine , sound pressure , artificial intelligence , image (mathematics)
Turbulence and aeroacoustic noise high‐order accurate schemes are required, and preferred, for solving complex flow fields with multi‐scale structures. In this paper a super compact finite difference method (SCFDM) is presented, the accuracy is analysed and the method is compared with a sixth‐order traditional and compact finite difference approximation. The comparison shows that the sixth‐order accurate super compact method has higher resolving efficiency. The sixth‐order super compact method, with a three‐stage Runge–Kutta method for approximation of the compressible Navier–Stokes equations, is used to solve the complex flow structures induced by vortex–shock interactions. The basic nature of the near‐field sound generated by interaction is studied. Copyright © 2001 John Wiley & Sons, Ltd.