On acceleration of MacCormack's scheme

David Gottlieb; Eli Turkel

doi:10.1016/0021-9991(78)90096-7

On acceleration of MacCormack's scheme

David Gottlieb^*, Eli Turkel

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

An acceleration of MacCormack's scheme due to D'esidéri and Tannehill is analyzed. It is found that for hyperbolic problems one cannot improve upon the efficiency of MacCormack's method. For parabolic problems the time step can be chosen arbitrarily large without loss of stability by an appropriate choice of the acceleration parameters. When applied to the heat equation this method is equivalent to both the Dufort-Frankel scheme and to MSOR.

Original language	English
Pages (from-to)	252-256
Number of pages	5
Journal	Journal of Computational Physics
Volume	26
Issue number	2
DOIs	https://doi.org/10.1016/0021-9991(78)90096-7
State	Published - Feb 1978
Externally published	Yes

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title = "On acceleration of MacCormack's scheme",

abstract = "An acceleration of MacCormack's scheme due to D'esid{\'e}ri and Tannehill is analyzed. It is found that for hyperbolic problems one cannot improve upon the efficiency of MacCormack's method. For parabolic problems the time step can be chosen arbitrarily large without loss of stability by an appropriate choice of the acceleration parameters. When applied to the heat equation this method is equivalent to both the Dufort-Frankel scheme and to MSOR.",

author = "David Gottlieb and Eli Turkel",

note = "Funding Information: performed under NASA Contract No. NASl-14101 NASA Langley Research Center, Hampton, Va.",

year = "1978",

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PY - 1978/2

Y1 - 1978/2

N2 - An acceleration of MacCormack's scheme due to D'esidéri and Tannehill is analyzed. It is found that for hyperbolic problems one cannot improve upon the efficiency of MacCormack's method. For parabolic problems the time step can be chosen arbitrarily large without loss of stability by an appropriate choice of the acceleration parameters. When applied to the heat equation this method is equivalent to both the Dufort-Frankel scheme and to MSOR.

AB - An acceleration of MacCormack's scheme due to D'esidéri and Tannehill is analyzed. It is found that for hyperbolic problems one cannot improve upon the efficiency of MacCormack's method. For parabolic problems the time step can be chosen arbitrarily large without loss of stability by an appropriate choice of the acceleration parameters. When applied to the heat equation this method is equivalent to both the Dufort-Frankel scheme and to MSOR.

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On acceleration of MacCormack's scheme

Abstract

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