ORR SOMMERFELD SOLVER USING MAPPED FINITE DIFFERENCE SCHEME FOR PLANE WAKE FLOW

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MAGHREBI M.J.

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Journal: Journal of Aerospace Science and Technology Year:2005 | Volume:2 | Issue:4 Page(s): 55-63

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Title

ORR SOMMERFELD SOLVER USING MAPPED FINITE DIFFERENCE SCHEME FOR PLANE WAKE FLOW

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MAGHREBI M.J. | Issue Writer Certificate

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Abstract

Linear stability analysis of the three dimensional plane wake flow is performed using a mapped finite difference 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 = - βcot (πς). 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 difference scheme of Lele [3] and the chain rule of differentiation are used to solve the Orr Sommerfeld equation. The result of linear stability analysis indicates that streamwise and the spanwise component of velocity eigenmodes is 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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APA: Copy

MAGHREBI, M.J.. (2005). ORR SOMMERFELD SOLVER USING MAPPED FINITE DIFFERENCE SCHEME FOR PLANE WAKE FLOW. JOURNAL OF AEROSPACE SCIENCE AND TECHNOLOGY (JAST), 2(4), 55-63. SID. https://sid.ir/paper/290906/en

Vancouver: Copy

MAGHREBI M.J.. ORR SOMMERFELD SOLVER USING MAPPED FINITE DIFFERENCE SCHEME FOR PLANE WAKE FLOW. JOURNAL OF AEROSPACE SCIENCE AND TECHNOLOGY (JAST)[Internet]. 2005;2(4):55-63. Available from: https://sid.ir/paper/290906/en

IEEE: Copy

M.J. MAGHREBI, “ORR SOMMERFELD SOLVER USING MAPPED FINITE DIFFERENCE SCHEME FOR PLANE WAKE FLOW,” JOURNAL OF AEROSPACE SCIENCE AND TECHNOLOGY (JAST), vol. 2, no. 4, pp. 55–63, 2005, [Online]. Available: https://sid.ir/paper/290906/en

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