ADVANCES IN HIGH-ORDER ACCURATE WEIGHTED COMPACT NONLINEAR SCHEMES

doi:10.6052/1000-0992-2007-3-J2006-185

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Article Navigation > Advances in Mechanics > 2007 > 37(3): 417-427

ADVANCES IN HIGH-ORDER ACCURATE WEIGHTED COMPACT NONLINEAR SCHEMES[J]. Advances in Mechanics, 2007, 37(3): 417-427. doi: 10.6052/1000-0992-2007-3-J2006-185

Citation:

ADVANCES IN HIGH-ORDER ACCURATE WEIGHTED COMPACT NONLINEAR SCHEMES[J]. Advances in Mechanics, 2007, 37(3): 417-427. doi: 10.6052/1000-0992-2007-3-J2006-185

ADVANCES IN HIGH-ORDER ACCURATE WEIGHTED COMPACT NONLINEAR SCHEMES[J]. Advances in Mechanics, 2007, 37(3): 417-427. doi: 10.6052/1000-0992-2007-3-J2006-185

Citation:

ADVANCES IN HIGH-ORDER ACCURATE WEIGHTED COMPACT NONLINEAR SCHEMES[J]. Advances in Mechanics, 2007, 37(3): 417-427. doi: 10.6052/1000-0992-2007-3-J2006-185

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ADVANCES IN HIGH-ORDER ACCURATE WEIGHTED COMPACT NONLINEAR SCHEMES

doi: 10.6052/1000-0992-2007-3-J2006-185

Received Date: 2007-08-09
Publish Date: 2007-08-25

Abstract

Abstract

The progress in the theoretical analysis of high-orderaccurate weighted compact nonlinear schemes (WCNS) and applications to thecomplicated flows is summarized in this paper. The development ofhigh-order schemes is reviewed, focusing on WCNS. WCNS are analyzed with Fourier method and asymptoticstability theory. Some explicit WCNS are used tosolve multi-dimensional complicated flows.
- high-order accurate scheme, weighted compact nonlinearschemes, Fourier analysis, asymptotic stability theory