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Adjoint complement to viscous finite-volume pressure-correction methods
Publikationstyp
Journal Article
Date Issued
2013-01-17
Sprache
English
Author(s)
Institut
TORE-URI
Journal
Volume
248
Start Page
402
End Page
419
Citation
Journal of Computational Physics (248): 402-419 (2013)
Publisher DOI
Scopus ID
Publisher
Elsevier
A hybrid-adjoint Navier-Stokes method for the pressure-based computation of hydrodynamic objective functional derivatives with respect to the shape is systematically derived in three steps: The underlying adjoint partial differential equations and boundary conditions for the frozen-turbulence Reynolds-averaged Navier-Stokes equations are considered in the first step. In step two, the adjoint discretisation is developed from the primal, unstructured finite-volume discretisation, such that adjoint-consistent approximations to the adjoint partial differential equations are obtained following a so-called hybrid-adjoint approach. A unified, discrete boundary description is outlined that supports high- and low-Reynolds number turbulent wall-boundary treatments for both the adjoint boundary condition and the boundary-based gradient formula. The third component focused in the development of the industrial adjoint CFD method is the adjoint counterpart to the primal pressure-correction algorithm. The approach is verified against the direct-differentiation method and an application to internal flow problems is presented.
Subjects
Adjoint Navier-Stokes
Dual consistency
Finite-volume method
Pressure-correction method
Wall function
DDC Class
004: Informatik
530: Physik