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Solution of the compressible flow equations

✍ Scribed by D. Gelder

Publisher
John Wiley and Sons
Year
1971
Tongue
English
Weight
525 KB
Volume
3
Category
Article
ISSN
0029-5981

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✦ Synopsis

A technique is described for solving the compressible flow equations in subsonic flow. The general quasi-linear equation V . g V v = 0 is considered with g a function of V v . V v , and iterations of the form V . g , V U , + ~ = 0 are analysed, where go is suitably chosen and g , defined from u, for n > 1. This approach is applied to the compressible flow equations in terms of a velocity potential 4 : monotonic convergence is predicted and at each iteration the error is multiplied by a factor less than the square of the greatest Mach number in the solution.

by a finite difference method. The alternative of working in terms of the stream function $ is discussed, and also discretization by the finite element method.

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