Continuous Adjoint-Based Shape Optimization for Particle Transport Problems in Fluids
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Beschreibung
In this work, we consider two industry-oriented optimal shape design problems involving fluid transport. We study an optimization problem for the reduction of the fluid residence time in polymer distributors, which are used for industrial fiber spinning. Furthermore, we investigate an Eulerian approach for the reduction of the erosion occurring during the pneumatic transport of dilute fluid-particle suspensions in bended pipes.
In this thesis, we investigate two shape optimization problems involving fluid transport. Firstly, we analyze a novel approach for the reduction of the fluid residence time in polymer distributors for industrial fiber spinning processes. In contrast to the previous indirect approach that is based on the wall shear stress, we solve a transport equation for the residence time and incorporate it into the cost functional. We study the influence of the counter-acting goals of reducing high residence times and minimizing the pressure energy drop on the optimized shapes. Secondly, we consider the transport of a fluid-particle suspension in a bended pipe segment. We demonstrate how the erosion caused by the impact of particles with different diameters on the walls can be reduced by slight changes of the bend that are obtained from an optimization towards a selected particle species. Starting from one-way coupled Eulerian flow descriptions, we compute the shape derivatives of the optimization problems with the continuous-adjoint approach and use them for the numerical solution of application oriented three-dimensional test cases with a mesh-based gradient descent method.
Autor*in
Raphael Hohmann
Themen in »Continuous Adjoint-Based Shape Optimization for Particle Transport Problems in Fluids«
Fraunhofer ITWM differential calculus & equation numerical analysis optimization mathematical modelling mechanics of fluids shape optimization polymer distributor residence time minimization fluid-particle suspension erosion minimization angewandte Mathematiker Berechnungsingenieur Angewandte Mathematiker Berechnungsingenieure