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A Simplified Spectral Analysis of some Numerical Methods in Fluid Dynamics
Author(s) -
Delfs J.,
Rozhdestvensky B. L.
Publication year - 1995
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19950750418
Subject(s) - discretization , stability (learning theory) , turbulence , spectral method , mathematics , spectral analysis , computer science , numerical analysis , computational fluid dynamics , fluid dynamics , dynamics (music) , numerical stability , statistical physics , mechanics , mathematical analysis , physics , quantum mechanics , machine learning , spectroscopy , acoustics
Most of the schemes used in simulations of transition to turbulence are based on spectral methods. Useful tools of the mathematical investigation of their numerical stability and accuracy have been published in English only recently [1]. Such an investigation may be rather complicated especially for those schemes which use different temporal discretization for different terms in the Navier‐Stokes equations (semi‐implicit schemes). In this paper we propose a considerably simplified version of such an investigation.