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A Three-Point Sixth-Order Nonuniform Combined Compact Difference Scheme

✍ Scribed by Peter C Chu; Chenwu Fan

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 258 KB
Volume: 148
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.1998.6141

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✦ Synopsis

NOTE

A Three-Point Sixth-Order Nonuniform Combined Compact Difference Scheme A three-point nonuniform combined compact difference (NCCD) scheme with sixth-order accuracy is proposed for numerical models. The NCCD scheme is a generalization of the previously proposed combined compact difference (CCD) scheme with a global Hermitan polynomial spline and has major improved features such as error and computational (CPU) time reduction. For nonperiodic boundaries, additional sixth-or fifth-order nonuniform boundary conditions are proposed. The NCCD scheme with either sixth-or fifth-order additional boundary conditions can increase the accuracy and decrease the CPU time about 1-2 orders of magnitude, compared to the CCD scheme.

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