@inproceedings{e07d0aca0dc745a994c92462af9a7ccf,
title = "Time stepping algorithms for partitioned multi-scale multi-physics in PRECICE",
abstract = "Using the partitioned approach, specialized single-physics solvers with different numerical properties may be combined to solve a multi-physics setup. This allows us to use expert solvers for every considered phenomenon. To handle their respective problems in the most efficient way solvers use non-matching meshes - both in the spatial and temporal domain (multi-scale) - and different discretization techniques (inhomogeneous setup). The coupling library preCICE provides methods for an appropriate treatment of non-matching spatial meshes, but it currently lacks advanced techniques for the treatment of non-matching temporal discretization. To maintain order and stability of time stepping, special care must be taken and simply exchanging nodal values at the coupling interface does not suffice. This contribution presents different setups that arise in partitioned multi-physics problems. Different temporal scales and different discretization techniques are considered. Challenges and requirements that stem from the partitioned approach are derived and various candidate techniques for multi-rate time stepping are introduced and evaluated. Convergence studies for a simple benchmark scenario are performed and implementation aspects are presented - with the final goal of implementing multi-rate time stepping in preCICE.",
keywords = "Coupled problems, Fluid-structure interaction, Multi-physics, Multi-rate time stepping, Multi-scale, Partitioned approach",
author = "Benjamin R{\"u}th and Benjamin Uekermann and Miriam Mehl and Bungartz, \{Hans Joachim\}",
note = "Publisher Copyright: copyright {\textcopyright} Crown copyright (2018).All right reserved.; 6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018 ; Conference date: 11-06-2018 Through 15-06-2018",
year = "2020",
language = "English",
series = "Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018",
publisher = "International Centre for Numerical Methods in Engineering, CIMNE",
pages = "2678--2689",
editor = "Roger Owen and \{de Borst\}, Rene and Jason Reese and Chris Pearce",
booktitle = "Proceedings of the 6th European Conference on Computational Mechanics",
}