Discrete shape sensitivity equations for aerodynamic problems
Gene J.-W. Hou
Department of Mechanical Engineering, Old Dominion University, Norfolk, VA 23529-0247, U.S.A.
Associate Professor, AIAA and ASME member
Search for more papers by this authorArthur C. Taylor III
Department of Mechanical Engineering, Old Dominion University, Norfolk, VA 23529-0247, U.S.A.
Assistant Professor, AIAA member
Search for more papers by this authorVamshi M. Korivi
Department of Mechanical Engineering, Old Dominion University, Norfolk, VA 23529-0247, U.S.A.
Graduate Research Assistant
Search for more papers by this authorGene J.-W. Hou
Department of Mechanical Engineering, Old Dominion University, Norfolk, VA 23529-0247, U.S.A.
Associate Professor, AIAA and ASME member
Search for more papers by this authorArthur C. Taylor III
Department of Mechanical Engineering, Old Dominion University, Norfolk, VA 23529-0247, U.S.A.
Assistant Professor, AIAA member
Search for more papers by this authorVamshi M. Korivi
Department of Mechanical Engineering, Old Dominion University, Norfolk, VA 23529-0247, U.S.A.
Graduate Research Assistant
Search for more papers by this authorAbstract
Intensive research and development in Computational Fluid Dynamics (CFD) has recently produced many powerful CFD codes to simulate complex aerodynamic phenomena. However, in order to enhance the usefulness of these CFD codes for design practice, development of design sensitivity equations compatible to these codes becomes very important. This paper represents a part of such an effort to develop a sensitivity analysts methodology that enables the sensitivity equations to be implemented into existing CFD codes with minimal code modification. The methodology is based upon a pre-elimination procedure which accounts for consistently linearized boundary conditions. Formulations of both the direct differentiation and the adjoint variable methods will be presented in the paper.
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