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Multiobjective optimal control of fluid mixing
Author(s) -
OberBlöbaum Sina,
PadbergGehle Kathrin
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510309
Subject(s) - mixing (physics) , mathematical optimization , optimal control , multi objective optimization , advection , mathematics , set (abstract data type) , measure (data warehouse) , scale (ratio) , flow (mathematics) , point (geometry) , pareto principle , computer science , control (management) , control theory (sociology) , physics , thermodynamics , geometry , quantum mechanics , database , artificial intelligence , programming language
In this contribution an efficient numerical method to solve multiobjective optimal control problems of fluid flow mixing governed by the advection equation is presented. To obtain well‐mixed behavior for non‐diffusive processes, the multi‐scale mixing of measure introduced in [1] is used in the formulation of the multiobjective optimal control problem. For the approximation of the Pareto set we combine reference point methods with an adjoint based optimization approach. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)