Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Real-time reduced basis techniques in arterial bypass geometries

Gianluigi Rozza*
Modelling and Scientific Computing (CMCS), École Polytechnique Fédérale de Lausanne (EPFL), CH-1015, Lausanne, Switzerland

  Full Text
The reduced basis method on parametrized domains is applied to approximate blood flow through an arterial bypass. The aim is to provide (a) a sensitivity analysis for relevant geometrical quantities in bypass configurations and (b) rapid and reliable prediction of integral functional outputs (such as fluid mechanics indexes). The goal of this investigation is (i) to achieve design indications for arterial surgery in the perspective of future development for prosthetic bypasses, (ii) to develop numerical methods for optimization and design in biomechanics, and (iii) to provide an input-output relationship led by models with lower complexity and computational costs than the complete solution of fluid dynamics equations by a classical finite element method.

Keywords:  Design of improved biomechanical devices; Parametrized PDEs; Generalized Stokes problem; Reduced basis methods; Arterial bypass optimization, Haemodynamics

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