ESR 1:
A robust and efficient Lie group solver for Cosserat rod models with internal and external constraints

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.

Current Activities

Job offer (expired)

Host Institution

Martin Luther University Halle-Wittenberg, Institute of Mathematics

Supervisor