%0 Journal Article
%T Orr Sommerfeld Solver Using Mapped Finite Di?erence Scheme for Plane Wake Flow
%J Journal of Aerospace Science and Technology
%I Iranian Aerospace Society
%Z 1735-2134
%A Maghrebi, Mohammad Javad
%D 2005
%\ 12/01/2005
%V 2
%N 4
%P 55-63
%! Orr Sommerfeld Solver Using Mapped Finite Di?erence Scheme for Plane Wake Flow
%K Orr–Sommerfeld
%K Squire transformation
%K Mapped finite
%R
%X Linear stability analysis of the three dimensional plane wake flow is performed using a mapped finite di?erence scheme in a domain which is doubly infinite in the cross–stream direction of wake flow. The physical domain in cross–stream direction is mapped to the computational domain using a cotangent mapping of the form y = ?cot(??). The Squire transformation [2], proposed by Squire, is also used to relate the three–dimensional disturbances to the equivalent two– dimensional disturbances. The compact finite di?erence scheme of Lele [3] and the chain rule of di?erentiation are used to solve the Orr Sommerfeld equation. The results of linear stability analysis indicates that streamwise and the span- wise component of velocity eigenmodes are antisymmetric and the cross stream velocity eigenmode is symmetric. This is consistent with the DNS requirement of plane wake flow pertaining to solvability conditions[5]
%U https://jast.ias.ir/article_51504_290b9f387283fb8b6304922d9d4afd86.pdf