Summary
The optimization of an obstacle shape immersed in an Eulerian flow is investigated. The chain rule through the state equation is expressed by applying an adjoint state method to an upwind discretization with differentiable flux splitting. Thus, we construct a descent method with a discrete gradient computed exactly. In order to improve the performances, a method for increasing the number of unknowns, and relying on a multilevel idea is also implemented. These methods are applied to shape optimization of a 2-D nozzle in a subsonic or transonic Eulerian flow; inverse and optimization problems are successively considered.
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References
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© 1997 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
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Beux, F. (1997). Shape Optimization of an Euler Flow in a Nozzle. In: Periaux, J., Bugeda, G., Chaviaropoulos, P.K., Labrujere, T., Stoufflet, B. (eds) EUROPT — A European Initiative on Optimum Design Methods in Aerodynamics. Notes on Numerical Fluid Mechanics (NNFM), vol 55. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-86570-0_8
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DOI: https://doi.org/10.1007/978-3-322-86570-0_8
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-322-86572-4
Online ISBN: 978-3-322-86570-0
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