In this seminar we discuss a novel accurate
method for computing transonic flow over lifting and non-lifting aerofoils as
governed by the steady Kárman-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. |