Discrete surprises in the computation of sensitivities from boundary integrals in the continuous adjoint approach to inviscid aerodynamic shape optimization

► Computation of flow sensitivities via Boundary adjoint formulations. ► Continuous results need not carry over to the discrete level. ► May lead to errors and inaccuracies in the discrete sensitivities. The computation of flow sensitivities for shape optimization in flow problems using continuous a...

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Bibliographic Details
Published in:Computers & fluids 2012-03, Vol.56, p.118-127
Main Author: Lozano, Carlos
Format: Article
Language:English
Subjects:
Aerodynamics
Applied fluid mechanics
Boundaries
Boundary formulation
Computation
Computational efficiency
Computational fluid dynamics
Computational methods in fluid dynamics
Continuous adjoint
Design optimization
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Integrals
Mathematical models
Physics
Shape optimization
Solvers
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Summary:► Computation of flow sensitivities via Boundary adjoint formulations. ► Continuous results need not carry over to the discrete level. ► May lead to errors and inaccuracies in the discrete sensitivities. The computation of flow sensitivities for shape optimization in flow problems using continuous adjoint-based boundary integrals reduces the computational costs and makes the scheme independent of the numerical solvers. However, certain analytic manipulations involved in the boundary formulation of the gradients do not hold valid at the discrete level near geometric singularities and lead to inconsistencies in the sensitivities, which add to already known mesh sensitivity issues at the same locations. Both questions appear to be relevant for inviscid flow problems only. These matters are examined and detailed numerical testing is performed on several conventional flow configurations.
ISSN:0045-7930
1879-0747
DOI:10.1016/j.compfluid.2011.12.001