An automated technique for implementing a full Newton method in computational fluid dynamics codes is discussed. Specially constructed MACSYMA programs write efficient error-free FORTRAN codes for computing the entries of the Jacobian matrix associated with Newton's method. Sparse matrix technology, which is both faster and easier to use than conventional banded matrix solvers, is invoked to directly solve the resulting system of equations. This technique for implementing a full Newton method is illustrated by extending the inviscid portion of the successful airfoil code recently developed by Giles and Drela at MIT to handle the multielement case.
Application of MACSYMA and sparse matrix technology to multielement airfoil calculations
Anwendung der MACSYMA- und Streumatrixtechnik bei Mehrelement-Tragfluegelberechnungen
AIAA 8th Computational Fluid Dynamics Conf. ; Jun ; 444-457
1987
14 Seiten, 25 Bilder, 1 Tabelle, 12 Quellen
Conference paper
English
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