Prof. Stéphane Bordas, Faculté des Sciences, de la Technologie et de la Communication, Université du Luxembourg, Luxembourg

Some numerical methods for the simulation of free boundary problems and a discussion on opportunities and challenges posed by data-driven simulation
When Mar 05, 2018
from 02:00 PM to 03:00 PM
Where LR8
Contact Name
Contact Phone 01865-283446
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Over the past half century, Computational Modelling and Simulation has enabled the development of new materials, processes and devices. Problems which were unfathomable 50 years ago are now commonplace. Computational Methods have since their gradual inception become the third pillar of science alongside physical experiments and theory and are already irreplaceable in daily engineering design. 


In this talk, I aim to present, in a didactic manner, some of the challenges faced by Numerical Simulations in the particular field of free boundary problems. I will cover, in particular, the alleviation of the meshing and remeshing burden, multi-scale and multi-field problems as well as error quantification. I will present recent advances to tackle some of these difficulties as well as practical examples borrowed from the Engineering and Surgical Simulation work of my team.


I will conclude by noting the similarities, in terms of computer modeling and simulation, shared by Engineering and Medicine, two disciplines which have become surprisingly closely related. In particular, I will briefly discuss the Digital Twinning Paradigm, born at NASA, and describe how ideally suited it would be to the world of personalized medicine.


This paradigm shift could enable users to numerically study situations which cannot be foreseen, contrary to what is widely done in daily computer simulations, i.e. relying on a priori assumptions on the types of expected behavior. In this way, no heuristics, hypothetical situations, or worse-case scenarios would be necessary, but the actual situation would be governing the model’s behavior, which would become a “twin” of reality.