Continuous Adjoint-Based Shape Optimization for the Minimization of Blood Damage in Biomedical Applications

This project targets to deal with problems arising from vascular surgery. Very often artificial materials and biomedical devices are used to restore and control a regular blood flow. Despite, however, all the advances in medicine, engineering and material science, the minimization of induced blood damage still remains a critical task so that good bio-compatibility is ensured. In this context, the derivation and implementation of CFD-based adjoint complements to blood damage equations as well as blood-related objective functionals are to be realized. The efficiently computed sensitivities will be used by a gradient-based method to ultimately drive the shapes towards an improved state. The study is then to be extended in an FSI framework, so that wall elasticity is considered. A partitioned approach to adjoint-shape optimization of coupled FSI problems, targeting to minimize the previously developed objective functionals, will be developed. Finally, the complete optimization framework is to be studied in the context of robust design. In this sense, the formulated optimization strategy will be extended to minimize potential uncertainties of the objective functional subjected to inflow or/and material properties.

Project Partners

Institute for Ship Structural Design and Analysis, Hamburg University of Technology

Group Structural Optimization for Lightweight Design, Hamburg University of Technology

Institute of Mechanics and Ocean Engineering, Hamburg University of Technology

Department of Mathematics - Center for Optimization and Approximation, Universit├Ąt Hamburg

Department of Mathematics for Civil Engineering, Helmut-Schmidt-Universit├Ąt/University of the Armed Forces Germany