TY - JOUR
ID - 51504
TI - Orr Sommerfeld Solver Using Mapped Finite Di?erence Scheme for Plane Wake Flow
JO - Journal of Aerospace Science and Technology
JA - JAST
LA - en
SN - 1735-2134
AU - Maghrebi, Mohammad Javad
AD -
Y1 - 2627
PY - 2627
VL - 2
IS - 4
SP - 55
EP - 63
KW - Orr–Sommerfeld
KW - Squire transformation
KW - Mapped finite
DO -
N2 - 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]
UR - http://jast.ias.ir/article_51504.html
L1 - http://jast.ias.ir/article_51504_290b9f387283fb8b6304922d9d4afd86.pdf
ER -