Adaptive time stepping for fluidstructure interaction solvers
In this work, a novel adaptive time stepping scheme for fluidstructure interaction (FSI) problems is proposed that allows for controlling the accuracy of the timediscrete solution. Furthermore, it eases practical computations by providing an efficient and very robust time step size selection. This has proven to be very useful, especially when addressing new physical problems, where no educated guess for an appropriate time step size is available. The fluid and the structure field, but also the fluidstructure interface are taken into account for the purpose of a posteriori error estimation, rendering it easy to implement and only adding negligible additional cost. The adaptive time stepping scheme is incorporated into a monolithic solution framework, but can straightforwardly be applied to partitioned solvers as well. The basic idea can be extended to the coupling of an arbitrary number of physical models. Accuracy and efficiency of the proposed method are studied in a variety of numerical examples ranging from academic benchmark tests to complex biomedical applications like the pulsatile blood flow through an abdominal aortic aneurysm. Finally, the demonstrated accuracy of the timediscrete solution in combination with reduced computational cost make this algorithm very appealing in all kinds of FSI applications.
 Authors:

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 Sandia National Lab. (SNLCA), Livermore, CA (United States); Technical University of Munich (Germany). Mechanics & High Performance Computing Group
 Technical University of Munich (Germany). Institute for Computational Mechanics
 Technical University of Munich (Germany). Mechanics & High Performance Computing Group
 Publication Date:
 Report Number(s):
 SAND201711510J
Journal ID: ISSN 0168874X; 658108
 Grant/Contract Number:
 AC0494AL85000
 Type:
 Accepted Manuscript
 Journal Name:
 Finite Elements in Analysis and Design
 Additional Journal Information:
 Journal Volume: 141; Journal Issue: C; Journal ID: ISSN 0168874X
 Publisher:
 Elsevier
 Research Org:
 Sandia National Lab. (SNLNM), Albuquerque, NM (United States)
 Sponsoring Org:
 USDOE National Nuclear Security Administration (NNSA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING; Fluidstructure interaction; Time integration; Error estimation; Adaptivity
 OSTI Identifier:
 1429664
Mayr, M., Wall, W. A., and Gee, M. W.. Adaptive time stepping for fluidstructure interaction solvers. United States: N. p.,
Web. doi:10.1016/j.finel.2017.12.002.
Mayr, M., Wall, W. A., & Gee, M. W.. Adaptive time stepping for fluidstructure interaction solvers. United States. doi:10.1016/j.finel.2017.12.002.
Mayr, M., Wall, W. A., and Gee, M. W.. 2017.
"Adaptive time stepping for fluidstructure interaction solvers". United States.
doi:10.1016/j.finel.2017.12.002.
@article{osti_1429664,
title = {Adaptive time stepping for fluidstructure interaction solvers},
author = {Mayr, M. and Wall, W. A. and Gee, M. W.},
abstractNote = {In this work, a novel adaptive time stepping scheme for fluidstructure interaction (FSI) problems is proposed that allows for controlling the accuracy of the timediscrete solution. Furthermore, it eases practical computations by providing an efficient and very robust time step size selection. This has proven to be very useful, especially when addressing new physical problems, where no educated guess for an appropriate time step size is available. The fluid and the structure field, but also the fluidstructure interface are taken into account for the purpose of a posteriori error estimation, rendering it easy to implement and only adding negligible additional cost. The adaptive time stepping scheme is incorporated into a monolithic solution framework, but can straightforwardly be applied to partitioned solvers as well. The basic idea can be extended to the coupling of an arbitrary number of physical models. Accuracy and efficiency of the proposed method are studied in a variety of numerical examples ranging from academic benchmark tests to complex biomedical applications like the pulsatile blood flow through an abdominal aortic aneurysm. Finally, the demonstrated accuracy of the timediscrete solution in combination with reduced computational cost make this algorithm very appealing in all kinds of FSI applications.},
doi = {10.1016/j.finel.2017.12.002},
journal = {Finite Elements in Analysis and Design},
number = C,
volume = 141,
place = {United States},
year = {2017},
month = {12}
}