Premium
Sensitivities, adjoints and flow optimization
Author(s) -
Gunzburger Max D.
Publication year - 1999
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/(sici)1097-0363(19990915)31:1<53::aid-fld955>3.0.co;2-z
Subject(s) - flow (mathematics) , mathematics , computational fluid dynamics , computer science , mathematical optimization , geometry , mechanics , physics
Several issues related to the calculation of flow sensitivities and the solution of flow optimization problems are considered. For the latter, one‐shot Lagrange multiplier methods are presented, as well as sensitivity‐ and adjoint‐based iterative algorithms. A sample application of each method to a specific flow optimization problem is provided. Then some difficulties associated with the practical implementation of the methods are discussed. Particular emphasis is placed on the effect of flow discontinuities on approximate sensitivities and adjoints. A discussion of these issues is given in the context of the Reimann problem for which exact information is known. Copyright © 1999 John Wiley & Sons, Ltd.