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タイトルEntropy Splitting for High Order Numerical Simulation of Vortex Sound at Low Mach Numbers
本文(外部サイト)http://hdl.handle.net/2060/20010047496
著者(英)Mansour, Nagi; Yee, H. C.; Mueller, B.
著者所属(英)NASA Ames Research Center
発行日2001-01-01
言語eng
内容記述A method of minimizing numerical errors, and improving nonlinear stability and accuracy associated with low Mach number computational aeroacoustics (CAA) is proposed. The method consists of two levels. From the governing equation level, we condition the Euler equations in two steps. The first step is to split the inviscid flux derivatives into a conservative and a non-conservative portion that satisfies a so called generalized energy estimate. This involves the symmetrization of the Euler equations via a transformation of variables that are functions of the physical entropy. Owing to the large disparity of acoustic and stagnation quantities in low Mach number aeroacoustics, the second step is to reformulate the split Euler equations in perturbation form with the new unknowns as the small changes of the conservative variables with respect to their large stagnation values. From the numerical scheme level, a stable sixth-order central interior scheme with a third-order boundary schemes that satisfies the discrete analogue of the integration-by-parts procedure used in the continuous energy estimate (summation-by-parts property) is employed.
NASA分類Fluid Mechanics and Thermodynamics
権利No Copyright
URIhttps://repository.exst.jaxa.jp/dspace/handle/a-is/226242


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