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- W2382887988 abstract "The theoretical analysis of weighted compact nonlinear schemes(WCNS) and applications to multi-dimensional complicated viscous flows are described in this paper.At first,features of fifth-order WCNS(including WCNS-5 and WCNS-E-5) and other high-order accurate schemes(HOS) such as explicit upwind biased fifth-order scheme(EUW-5) and standard Pade′ scheme are analyzed with Fourier method.The analytical results show that WCNS have better characteristics than EUW-5 in terms of dispersive and dissipative errors.They also have the higher resolving efficiency than EUW-5 and Pade′ scheme.The anisotropic errors of these HOS are different little among one another,and they are altogether limited to a narrow range of short waves.Subsequently the high efficient scheme of WCNS-E-5 is used to simulate several complicated flows containing strong shock waves.The tests include two-dimensional hypersonic boundary layer receptivity over parabola and three-dimensional flow past sphere.The numerical solutions show that WCNS-E-5 owns the advantage of capturing shock waves robustly.There are clear and smooth contours without nonphysical oscillations,and the data are correct and reliable." @default.
- W2382887988 created "2016-06-24" @default.
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- W2382887988 date "2007-01-01" @default.
- W2382887988 modified "2023-09-25" @default.
- W2382887988 title "Study of high-order accurate weighted compact nonlinear schemes and applications to multi-dimensional viscous flow" @default.
- W2382887988 hasPublicationYear "2007" @default.
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