This work deals with the development and application of reduction strategies for real-time and many query problems arising in fluid dynamics, such as shape optimization, shape registration (reconstruction), and shape parametrization. The proposed strategy is based on the coupling between reduced basis methods for the reduction of computational complexity and suitable shape parametrizations - such as free-form deformations or radial basis functions - for low-dimensional geometrical description. Our focus is on problems arising in haemodynamics: efficient shape parametrization of cardiovascular geometries (e.g. bypass grafts, carotid artery bifurcation, stenosed artery sections) for the rapid blood flow simulation - and related output evaluation - in domains of variable shape (e.g. vessels in presence of growing stenosis) provide an example of a class of problems which can be recast in the real-time or in the many-query context. © 2013 IFIP International Federation for Information Processing.
|Titolo:||Reduction strategies for shape dependent inverse problems in haemodynamics|
|Autori:||Lassila, T; Manzoni, A; Rozza, G|
|Titolo del libro:||System Modeling and Optimization: 25th IFIP TC 7 Conference, CSMO 2011, Berlin, Germany, September 12-16, 2011, Revised Selected Papers|
|Data di pubblicazione:||2013|
|Digital Object Identifier (DOI):||10.1007/978-3-642-36062-6_40|
|Appare nelle tipologie:||4.1 Contribution in Conference proceedings|