Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty
Keywords
Advanced Numerical Methods for Scientific Computing
Computational Medicine for the Cardiocirculatory System
Code:
10/2012
Title:
Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty
Date:
Thursday 9th February 2012
Author(s):
Lassila, T.; Manzoni, A.; Quarteroni, A.; Rozza, G.
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Abstract:
We review the optimal design of an arterial bypass graft following either a (i) boundary optimal control approach, or a (ii) shape optimization formulation. The main focus is quantifying and treating the uncertainty in the the worst-case in terms of recirculation effects is inferred to correspond to a residual strong orifice flow through near-complete occlusion. Worst-case optimization is performed to identify an anastomosis angle and a cuffed shape that are robust with respect to a possible range of residual flows. We also consider a reduced order modelling framework based on reduced basis methods
in order to make the robust design problem computationally feasible. Keywords: optimal control, shape optimization, arterial bypass grafts, uncertainty, worst-case design, reduced order modelling, Navier-Stokes equations.