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Title: Watch your adjoints! Lack of mesh convergence in inviscid adjoint solutions
Authors: Lozano, Carlos
Keywords: Trailing edges;Flow conditions;Airfoil profiles;Angle of attack;Pressure coefficient;Aerodynamic design;Euler equations;Viscosity;Stagnation streamlines;Vortex shedding
Issue Date: 5-Aug-2019
Publisher: Aerospace Research Central
DOI: 10.2514/1.J057259
Published version:
Citation: AIAA Journal 57(9): (2019)
Abstract: It has been long known that 2D and 3D inviscid adjoint solutions are generically singular at sharp trailing edges. In this paper, a concurrent effect is described by which wall boundary values of 2D and 3D inviscid continuous and discrete adjoint solutions based on lift and drag are strongly mesh dependent and do not converge as the mesh is refined. Various numerical tests are performed to characterize the problem. Lift-based adjoint solutions are found to be affected for any flow condition, whereas drag-based adjoint solutions are affected for transonic lifting flows. A (laminar) viscous case is examined as well, but no comparable behavior is found, which suggests that the issue is exclusive to inviscid flows. It is argued that this behavior is caused by the trailing edge adjoint singularity.
Description: Copyright © 2019 by Carlos Lozano. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. All requests for copying and permission to reprint should be submitted to CCC at; employ the eISSN 1533-385X to initiate your request. See also AIAA Rights and Permissions
E-ISSN: 1533-385X
Appears in Collections:(Aeronáutica) Artículos

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