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Accurate numerical solution of compressible,linear stability equations
Authors:M R Malik  S Chuang  M Y Hussaini
Institution:(1) High Technology Corporation, 23666 Hampton, Va.;(2) NASA Langley Research Center, George Washington University, 23665 Hampton, Va.;(3) Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 23665 Hampton, Va.
Abstract:Summary A compact fourth order accurate finite difference scheme is proposed for solving the eigenvalue problem of the temporal and spatial stability of three-dimensional compressible boundary layers. It is applied to the stability study of the flow on a laminar flow control swept wing. The results indicate that the present method provides an accurate and efficient way of calculating the eigenvalues and eigensolutions of the compressible linear stability equations.
Zusammenfassung Ein kompaktes Differenzenschema vierter Ordnung wird vorgeschlagen zur Lösung von Eigenwertproblemen der zeitlichen und räumlichen Stabilität dreidimensionaler zusammendrückbarer Grenzschichten. Es wird zum Stabilitätsstudium der Strömung über einen LFC Flügel angewendet. Die Resultate zeigen, daß es die angewendete Methode erlaubt, genau und effizient die Eigenwerte und Eigenfunktionen der kompressiblen linearen Stabilitätsgleichungen zu berechnen.


Research for this author was supported by NASA Contract No. NAS 1-16572.

Research for this author was supported by NASA Contract No. NCC 1-14.

Research for this author was supported by NASA Contracts No. NAS 1-14472 and NAS 1-15810 while the author was in residence at ICASE, NASA Langley Research Center, Hampton, Va. 23665.
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