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タイトルNumerical experiments with a symmetric high-resolution shock-capturing scheme
本文(外部サイト)http://hdl.handle.net/2060/19880002950
著者(英)Yee, H. C.
著者所属(英)NASA Ames Research Center
発行日1986-06-01
言語eng
内容記述Characteristic-based explicit and implicit total variation diminishing (TVD) schemes for the two-dimensional compressible Euler equations have recently been developed. This is a generalization of recent work of Roe and Davis to a wider class of symmetric (non-upwind) TVD schemes other than Lax-Wendroff. The Roe and Davis schemes can be viewed as a subset of the class of explicit methods. The main properties of the present class of schemes are that they can be implicit, and, when steady-state calculations are sought, the numerical solution is independent of the time step. In a recent paper, a comparison of a linearized form of the present implicit symmetric TVD scheme with an implicit upwind TVD scheme originally developed by Harten and modified by Yee was given. Results favored the symmetric method. It was found that the latter is just as accurate as the upwind method while requiring less computational effort. Currently, more numerical experiments are being conducted on time-accurate calculations and on the effect of grid topology, numerical boundary condition procedures, and different flow conditions on the behavior of the method for steady-state applications. The purpose here is to report experiences with this type of scheme and give guidelines for its use.
NASA分類NUMERICAL ANALYSIS
レポートNO88N12332
REPT-86316
NAS 1.15:88325
NASA-TM-88325
権利No Copyright
URIhttps://repository.exst.jaxa.jp/dspace/handle/a-is/148272


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