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Compact Implicit MacCormack-Type Schemes with High Accuracy

✍ Scribed by R. Hixon; E. Turkel

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
143 KB
Volume
158
Category
Article
ISSN
0021-9991

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✦ Synopsis

In this work, the MacCormack methodology is extended to implicit compact differencing schemes. A prefactorization method is developed which splits the implicit matrix into two independent upper and lower matrices which are easier to invert. Using this method, a new class of high-order accurate compact MacCormack-type schemes is derived. Two fourth-order schemes are described, and results are shown for three linear and nonlinear CAA benchmark problems.

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