An adjoint method for the calculation of remote sensitivities in supersonic flow |
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| Authors: | Siva K Nadarajah Antony Jameson Juan Alonso |
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| Institution: | 1. McGill University, CFD Lab, Department of Mechanical Engineering , 688 Sherbrooke Street West, Room 711, Montreal, Que., Canada , H3A 2S6siva.nadarajah@mcgill.ca;3. Stanford University, Department of Aeronautics and Astronautics , Durand Building, 496 Lomita Mall, Stanford, CA, 94305, USA |
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| Abstract: | This paper presents an adjoint method for the calculation of remote sensitivities in supersonic flow. The goal is to develop a set of discrete adjoint equations and their corresponding boundary conditions in order to quantify the influence of geometry modifications on the pressure distribution at an arbitrary location within the domain of interest. First, this paper presents the complete formulation and discretization of the discrete adjoint equations. The special treatment of the adjoint boundary condition to obtain remote sensitivities or sensitivities of pressure distributions at points remotely located from the wing surface are discussed. Secondly, we present results that demonstrate the application of the theory to a three-dimensional remote inverse design problem using a low sweep biconvex wing and a highly swept blunt leading edge wing. Lastly, we present results that establish the added benefit of using an objective function that contains the sum of the remote inverse and drag minimization cost functions. |
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| Keywords: | Adjoint method Optimization Sonic boom Remote sensitivities Computational fluid dynamics |
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