Maghrebi, M. (2627). Orr Sommerfeld Solver Using Mapped Finite Di?erence Scheme for Plane Wake Flow. Journal of Aerospace Science and Technology, 2(4), 55-63.
Mohammad Javad Maghrebi. "Orr Sommerfeld Solver Using Mapped Finite Di?erence Scheme for Plane Wake Flow". Journal of Aerospace Science and Technology, 2, 4, 2627, 55-63.
Maghrebi, M. (2627). 'Orr Sommerfeld Solver Using Mapped Finite Di?erence Scheme for Plane Wake Flow', Journal of Aerospace Science and Technology, 2(4), pp. 55-63.
Maghrebi, M. Orr Sommerfeld Solver Using Mapped Finite Di?erence Scheme for Plane Wake Flow. Journal of Aerospace Science and Technology, 2627; 2(4): 55-63.
Orr Sommerfeld Solver Using Mapped Finite Di?erence Scheme for Plane Wake Flow
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]
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