Application of p-Laplacian relaxed steepest descent to shape optimizations in two-phase flows

First published in
Lecture notes in computational science and engineering  
Number in series
148
Start Page
131
End Page
145
Citation
Modeling, Simulation and Optimization of Fluid Dynamic Applications. - Cham, 2023. - Seite 131-145
Publisher DOI
10.1007/978-3-031-45158-4_8
Scopus ID
2-s2.0-85180361209
Publisher
Springer Nature Switzerland
ISBN
978-3-031-45158-4
The paper is concerned with the minimal drag problem in shape optimization of merchant ships exposed to turbulent two-phase flows. Attention is directed to the solution of Reynolds Averaged Navier-Stokes equations using a Finite Volume method. Central aspects are the use of a p-Laplacian relaxed steepest descent direction and the introduction of crucial technical constraints to the optimization procedure, i.e. the center of buoyancy and the displacement of the underwater hull. The example included refers to the frequently investigated Kriso container ship (KCS).
DDC Class
510: Mathematics
530: Physics
620: Engineering