Shape optimization approaches to free-surface problems
Article first published online: 30 JAN 2014
Copyright © 2014 John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Fluids
Volume 74, Issue 11, pages 818–845, 20 April 2014
How to Cite
Kasumba, H. (2014), Shape optimization approaches to free-surface problems. Int. J. Numer. Meth. Fluids, 74: 818–845. doi: 10.1002/fld.3876
- Issue published online: 6 MAR 2014
- Article first published online: 30 JAN 2014
- Manuscript Accepted: 22 DEC 2013
- Manuscript Revised: 25 NOV 2013
- Manuscript Received: 23 AUG 2013
- free-surface flow;
- shape optimization;
- shape derivative
Three different reformulations of a free-surface problem as shape optimization problems are considered. These give rise to three different cost functionals that apparently have not been exploited in literature. The shape derivatives of the cost functionals are explicitly determined. The gradient information is combined with the boundary variation method in a preconditioned steepest descent algorithm to solve the shape optimization problems. Numerical results that compare the performance of the proposed cost functionals are presented. Copyright © 2014 John Wiley & Sons, Ltd.