The following information was submitted:
Transactions: INTERNATIONAL JOURNAL of MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES
Transactions ID Number: 19-220
Full Name: Rui Pereira
Position: Assistant Professor
Age: ON
Sex: Male
Address: University of Minho, Department Of Mathematics and Applications, 4810 Guimarães
Country: PORTUGAL
Tel: 00 351 253 510 436
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E-mail address: rmp@mct.uminho.pt
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Title of the Paper: Transonic inviscid flows past thin airfoils :A new numerical method and global stability analysis using MatLab
Authors as they appear in the Paper: Rui M. S. Pereira, Jitesh S. B. Gajjar
Email addresses of all the authors: rmp@mct.uminho.pt,j.gajjar@manchester.ac.uk
Number of paper pages: 8
Abstract: Abstract—In this paper we discuss a novel accurate method for computing transonic flow over lifting and non-lifting aerofoils as governed by the steady K´arman-Guderlay equation. The method is based on using finite-differences in the streamwise direction combined with spectral collocation in the other direction. This is combined with Newton iteration and a direct method for the resulting linear system. The method is fast and very robust and we are able to compute steady flows with strong shocks. Some examples considering both the symmetric and the non symmetric cases are shown and grid size study is also presented. The work has been extended to discuss the stability of the computed flows using methods based on a global stability analysis. This leads to a generalized eigenvalue problem and some results are presented. One advantage of the current approach is that for small grid sizes it is possible do the analysis using MATLAB.
Keywords: Transonic flows, Karman Guderley, Chebyshev collocation points, stability, generalised eigenvalue problem
EXTENSION of the file: .pdf
Special (Invited) Session: Computations on transonic inviscid flows past thin airfoils
Organizer of the Session: 697-243
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