A conservative and non-dissipative Eulerian formulation for the simulation of soft solids in fluids
Name
1902.08361.pdf
Description
Accepted version
Size
6.36 MB
Format
Adobe PDF
Checksum (MD5)
c95c74394cac39f7689f4ed0b3a842d2
Author(s)
Jain, Suhas S
Kamrin, Ken
Mani, Ali
Date Issued
2019
Journal
Journal of Computational Physics
Publisher
Elsevier BV
Version
Author's final manuscript
Abstract
© 2019 Elsevier Inc. Soft solids in fluids find wide range of applications in science and engineering, especially in the study of biological tissues and membranes. In this study, an Eulerian finite volume approach has been developed to simulate fully resolved incompressible hyperelastic solids immersed in a fluid. We have adopted the recently developed reference-map technique (RMT) by Valkov et al. (2015) [122] and assessed multiple improvements for this approach. These modifications maintain the numerical robustness of the solver and allow the simulations without any artificial viscosity in the solid regions (to stabilize the solver). This has also resulted in eliminating the striations (“wrinkles”) of the fluid-solid interface that was seen before and hence obviates the need for any additional routines to achieve a smooth interface. An approximate projection method has been used to project the velocity field onto a divergence free field. Cost and accuracy improvements of the modifications on the method have also been discussed.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/J.JCP.2019.108922
