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 | |
State | Published - Feb 1978 |
Externally published | Yes |