A conservative and non-dissipative Eulerian formulation for the simulation of soft solids in fluids
arXiv:1902.08361 · doi:10.1016/j.jcp.2019.108922
Abstract
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 (J. Appl. Mech., 82, 2015) 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.
References in corpus (4)
- A full Eulerian finite difference approach for solving fluid-structure coupling problems
- Numerical simulation of turbulent channel flow over a viscous hyper-elastic wall
- Eulerian method for multiphase interactions of soft solid bodies in fluids
- Reference Map Technique for Incompressible Fluid-Structure Interaction
Cited by in corpus (4)
- Eulerian framework for contact between solids represented as phase fields
- A remeshed vortex method for mixed rigid/soft body fluid--structure interaction
- An incompressible Eulerian method for fluid-structure interaction with mixed soft and rigid solids
- Reference map technique for Lagrangian exploration of coherent structures