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Adjoint‐based design of shock mitigation devices
Author(s) -
Stück Arthur,
Camelli Fernando F.,
Löhner Rainald
Publication year - 2009
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2164
Subject(s) - euler's formula , shock (circulatory) , adjoint equation , euler equations , surface (topology) , mathematics , sensitivity (control systems) , computational fluid dynamics , function (biology) , mathematical optimization , computer science , mathematical analysis , mechanics , geometry , engineering , physics , electronic engineering , partial differential equation , medicine , evolutionary biology , biology
Unsteady Euler and adjoint Euler solvers have been combined in order to aid in the design of shock mitigation devices. The flowfield is integrated forward in time and stored. The adjoint is then integrated going backwards in time, restoring and interpolating the saved Euler solution to the current point in time. The gradient is obtained from a surface integral formulation during the adjoint run. Comparisons of adjoint‐based and finite‐differencing gradients for different verification cases show less than 10% deviation. The results obtained indicate that this is a very cost‐effective way to obtain the gradients of an objective function with respect to surface design changes. Moreover, as the sensitivity information is determined over a complete surface, the procedure provides considerable insight, and can efficiently facilitate the design of shock mitigation devices such as architecturally appealing blast walls. Copyright © 2009 John Wiley & Sons, Ltd.