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Sensitivity computations by automatic differentiation of a CFD code based on spectral differences

Cardesa, José I. and Airiau, Christophe Sensitivity computations by automatic differentiation of a CFD code based on spectral differences. (2019) In: EUCASS 2019, 1 July 2019 - 4 July 2019 (Madrid, Spain).

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Official URL: https://doi.org/10.13009/EUCASS2019-831

Abstract

We compute flow sensitivities by modifying a CFD code which is spatially-discretized with spectral differences. Our discrete approach relies on algorithmic differentiation. We obtain two transformed codes, one for each differentiation mode : tangent and adjoint. Both codes compute sensitivities in an unsteady test case of two-dimensional incompressible flow inside a periodic cube with an initial double-shear profile. The sensitivities from both codes agree to within machine accuracy, and compare well with those approximated by finite difference computations. We discuss execution times and describe our strategy to automatically differentiate in adjoint mode a parallel code containing MPI instructions.

Item Type:Conference or Workshop Item (Paper)
HAL Id:hal-02617161
Audience (conference):International conference without published proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
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RTRA STAE, Toulouse - European Union’s Sev-enth Framework Programme
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Deposited On:25 May 2020 08:53

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