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Efficient Numerical Multilevel Methods for the Optimization of Gas Turbine Combustion Chambers

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Book cover Flow and Combustion in Advanced Gas Turbine Combustors

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 1581))

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Abstract

In this paper we present an approach for the optimization of turbulent flows. To accomplish such a complex task, the general strategy has to be carefully designed. On the optimization side, we incorporate multilevel optimization algorithms. With this kind of algorithms, different levels describing a problem can be efficiently used for the optimization. Typical examples are discretization levels or models of different physical fidelity. Many optimization algorithms rely on gradient information, which is generally not available for complex problems described by partial differential equations (PDEs). Nevertheless, gradient information can be obtained from computer programs by the use of Automatic Differentiation (AD) techniques. We present a discrete adjoint approach, which was applied to the flow solver FASTEST. The numerical results show the efficiency of the adjoint mode and the optimization algorithms. They include shape optimization and boundary control examples for the Navier-Stokes Equations (NSE), Large Eddy Simulation (LES) and Reynolds Averaged Navier-Stokes (RANS) Equations.

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Acknowledgements

The authors gratefully acknowledge the support of the Sonderforschungbereich 568 funded by the German Research Foundation (DFG). Moreover, the first author was supported by the Graduate School Computational Engineering and the Center of Smart Interfaces at TU Darmstadt, which are both funded by the German Research Foundation (DFG).

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Authors and Affiliations

  1. Nonlinear Optimization, Department of Mathematics, Technische Universität Darmstadt, Dolivostr. 15, 64293, Darmstadt, Germany

    S. Ulbrich & R. Roth

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  1. S. Ulbrich
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  2. R. Roth
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Correspondence to R. Roth .

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Editors and Affiliations

  1. Department of Mechanical Engineering, Technische Universität Darmstadt, Petersenstrasse 30, Darmstadt, 64287, Germany

    Johannes Janicka

  2. Department of Mechanical Engineering, Darmstadt University of Technology, Petersenstrasse 30, Darmstadt, 64287, Germany

    Amsini Sadiki

  3. Department of Mechanical Engineering, Technische Universität Darmstadt, Dolivostrasse 15, Darmstadt, 64293, Germany

    Michael Schäfer

  4. Center of Smart Interfaces, Technische Universität Darmstadt, Petersenstrasse 32, Darmstadt, 64287, Germany

    Christof Heeger

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Ulbrich, S., Roth, R. (2013). Efficient Numerical Multilevel Methods for the Optimization of Gas Turbine Combustion Chambers. In: Janicka, J., Sadiki, A., Schäfer, M., Heeger, C. (eds) Flow and Combustion in Advanced Gas Turbine Combustors. Fluid Mechanics and Its Applications, vol 1581. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5320-4_13

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  • DOI: https://doi.org/10.1007/978-94-007-5320-4_13

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-5319-8

  • Online ISBN: 978-94-007-5320-4

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