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Aerodynamic Sensitivity Analysis for Navier-Stokes Equations

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Authors
Kim, Hyoung-Jin; Kim, Chongam; Rho, Oh-Hyun; Lee, Ki Dong
Issue Date
1999-12
Publisher
Korea Society for Industrial and Applied Mathematics
Citation
Journal of KSIAM, Vol.3 No.2, pp. 161-171
Keywords
공학Sensitivity derivativedirect differentiationadjoint variable
Abstract
Aerodynamic sensitivity analysis codes are developed via the hand-differentiation using a direct differentiation method and an adjoint method respectively from discrete two-dimensional compressible Navier-Stokes equations. Unlike previous other researches, Baldwin-Lomax algebraic turbulence model is also differentiated by hand to obtain design sensitivities with respect to design variables of interest in turbulent flows. Discrete direct sensitivity equations and adjoint equations are efficiently solved by the same time integration scheme adopted in the flow solver routine. The required memory for the adjoint sensitivity code is greatly reduced at the cost of the computational time by allowing the large banded flux jacobian matrix unassembled. Direct sensitivity code results are found to be exactly coincident with sensitivity derivatives obtained by the finite difference. Adjoint code results of a turbulent flow case show slight deviations from the exact results due to the limitation of the algebraic turbulence model in implementing the adjoint formulation. However, current adjoint sensitivity code yields much more accurate sensitivity derivatives than the adjoint code with the turbulence eddy viscosity being kept constant, which is a usual assumption for the prior researches.
ISSN
1226-9433
Language
English
URI
http://hdl.handle.net/10371/82513
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College of Engineering/Engineering Practice School (공과대학/대학원)Dept. of Mechanical Aerospace Engineering (기계항공공학부)Journal Papers (저널논문_기계항공공학부)
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