A three-point combined compact difference scheme
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Authors
Fan, Chenwu
Chu, Peter C.
Subjects
Advisors
Date of Issue
1998
Date
1998
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Abstract
A new three-point combined compact difference (CCD) scheme is developed for
numerical models. The major features of the CCD scheme are: three point, implicit,
sixth-order accuracy, and inclusion of boundary values. Due to its combination of
the first and second derivatives, the CCD scheme becomes more compact and more
accurate than normal compact difference schemes. The efficient twin-tridiagonal (for
calculating derivatives) and triple-tridiagonal (for solving partial difference equation
with the CCD scheme) methods are also presented. Besides, the CCD scheme has
sixth-order accuracy at periodic boundaries and fifth-order accuracy at nonperiodic
boundaries. The possibility of extending to a three-point eighth-order scheme is also
included.
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Article
Description
Journal of Computational Physics
Series/Report No
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Oceanography
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Citation
Chu, P.C., and C.W. Fan, 1998: A three-point combined compact difference scheme (paper download). Journal of Computational Physics, 140, 370-399.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.