Mesh adaptation criteria for unsteady periodic flows using a discrete adjoint time-spectral formulation

Ki Hwan Lee*, Juan J. Alonso, Edwin van der Weide

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

18 Citations (Scopus)


This papers develops and implements a discrete adjoint formulation for a periodic, time-spectral discretization of the equations of fluid flow. Time-spectral flow solution methodologies have been proposed in order to significantly shorten the computational time for the solution of unsteady (periodic) flows with a narrow frequency spectrum. As such, these methodologies are only applicable to periodic flows encountered, for example, in turbomachinery, rotorcraft, and fixed-wing aeroelastic applications among other areas. For these classes of problems, the time-spectral discretization permits the solution of the corresponding adjoint equations and facilitates both design and error estimation / correction applications. Details of the discrete adjoint solver and its implementations are provided as well as its validation (through the calculation of sensitivities of unsteady flows) and some preliminary applications to mesh refinement / distribution in unsteady periodic flows. The procedure is found to be very robust and it is currently being extended to fundamental turbomachinery test cases.

Original languageEnglish
Title of host publication44th AIAA Aerospace Sciences Meeting, Reno, Nevada, 9-12 January 2006
Subtitle of host publicationCollection of Technical Papers
PublisherAmerican Institute of Aeronautics and Astronautics
Number of pages16
ISBN (Electronic)978-1-62410-039-0
ISBN (Print)978-1-56347-807-9
Publication statusPublished - 1 Dec 2006
Externally publishedYes
Event44th AIAA Aerospace Sciences Meeting 2006 - Reno, United States
Duration: 9 Jan 200612 Jan 2006
Conference number: 44


Conference44th AIAA Aerospace Sciences Meeting 2006
Country/TerritoryUnited States


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