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Shape Optimization for Navier–Stokes Equations with Algebraic Turbulence Model: Numerical Analysis and Computation

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Abstract

We study the shape optimization problem for the paper machine headbox which distributes a mixture of water and wood fibers in the paper making process. The aim is to find a shape which a priori ensures the given velocity profile on the outlet part. The mathematical formulation leads to the optimal control problem in which the control variable is the shape of the domain representing the header, the state problem is represented by the generalized Navier-Stokes system with nontrivial boundary conditions. This paper deals with numerical aspects of the problem.

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Authors and Affiliations

  1. Department of Numerical Mathematics, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75, Praha 8, Czech Republic

    Jaroslav Haslinger

  2. Institute of Mathematics, Academy of Sciences of the Czech Republic, Žitná 25, 115 67, Praha 1, Czech Republic

    Jan Stebel

Authors
  1. Jaroslav Haslinger
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  2. Jan Stebel
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Correspondence to Jan Stebel.

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Communicating Editor: Paul Dupuis.

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Haslinger, J., Stebel, J. Shape Optimization for Navier–Stokes Equations with Algebraic Turbulence Model: Numerical Analysis and Computation. Appl Math Optim 63, 277–308 (2011). https://doi.org/10.1007/s00245-010-9121-x

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  • DOI: https://doi.org/10.1007/s00245-010-9121-x

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