Lattice Boltzmann Constraints for Standard Optimization Problems

This paper presents a simultaneous analysis and design (SAND) approach for the control of incompressible, stationary fluid problems ruled by the lattice Boltzmann equation. Therefore the discretized lattice Boltzmann fix point problem is used as constraint for the optimization problem. This allows for the use of standard non-linear programming techniques. To validate the proposed method a topology optimization problem is solved with the NLP solver WORHP at moderate Reynolds numbers (Re < 1000) for a 2-dimensional flow domain. (© 2013 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)