Denise Tumiotto

ESR 1:
Denise Tumiotto

joined the THREAD project in May 2020 (read her welcome message)

My name is Denise Tumiotto, and I come from Italy. I have always been intrigued by the possibility of expressing the world through a mathematical model. Thus, I decided to learn how to do it during my studies. After pursuing my bachelor’s degree in Mathematical Engineering, in December 2019, I obtained my master’s degree in Mathematical Engineering, specializing in mathematical models and numerical simulations. During those years, I commuted between Asti, my hometown, and Turin, the city of my studies.

In my academic path, I focused on the simulation of mechanical models. In particular, I studied the mechanics of continuum, porous, and solid means. I learned how to implement numerical methods for the resolution of differential systems using mainly Matlab. The THREAD project is a natural continuation and a deepening of those studies. Moreover, the possibility to enter in direct contact with international researchers and travel all around Europe is an excellent opportunity to extend my knowledge.

I firmly believe my penchant for challenges and puzzles will help me through the research work. This project will enable me to focus on the research, both at the academic and industrial levels.

My motto is: “Scientific research is the only possible way to improve ourselves.”

Denise Tumiotto, May 2020


Host Institution
Martin Luther University Halle-Wittenberg (Germany)
Supervisor
Martin Arnold
Description

The ESR develops numerically stable and structure preserving coarse‐grid discretisations in space and time for Cosserat rod models including internal and external constraints resulting, e.g. from inextensibility or contact conditions.

Expected Results

The proposed methods are analysed theoretically following the variational integration framework and implemented practically in an open‐source, error‐controlled variable step size Lie group integrator for flexible mechanical systems. This solver will allow to combine advanced modelling features like nonlinearities, complex constitutive laws or contact conditions with a reliable, robust and efficient system simulation.

Secondments

planned at fleXstructures (industrial partner), Fraunhofer ITWM, Norwegian University of Science and Technology and University of Innsbruck

associated with the Industrial Challenges

IC 3 Automotive engineering I
IC 9 Software development

Publications

Articles in peer-reviewed scientific journals

  • Martin Arnold, Elena Celledoni, Ergys Çokaj, Brynjulf Owren, Denise Tumiotto (2024): B-stability of numerical integrators on Riemannian manifolds; Journal of Computational Dynamics 11, 92–107; DOI: 10.3934/jcd.2024002
  • Stefan Hante, Denise Tumiotto, Martin Arnold (2022): A Lie group variational integration approach to the full discretization of a constrained geometrically exact Cosserat beam model; Multibody System Dynamics 54, 97–123; DOI: 10.1007/s11044-021-09807-8, see also link

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