Eulerian Method for fluid-structure interaction and submerged solid-solid contact problems
Name
Kamrin_Eulerian method.pdf
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1.93 MB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Valkov, Boris
Rycroft, Chris H.
Kamrin, Kenneth N.
Alternative Title
Eulerian Method for Multiphase Interactions of Soft Solid Bodies in Fluids
Date Issued
March 2015
Journal
Journal of Applied Mechanics
Publisher
ASME International
Citation
Valkov, Boris, Chris H. Rycroft, and Ken Kamrin. “Eulerian Method for Multiphase Interactions of Soft Solid Bodies in Fluids.” J. Appl. Mech. 82, no. 4 (March 3, 2015): 041011.
Version
Original manuscript
Abstract
We introduce an Eulerian approach for problems involving one or more soft solids immersed in a fluid, which permits mechanical interactions between all phases. The reference map variable is exploited to simulate finite-deformation constitutive relations in the solid(s) on the same fixed grid as the fluid phase, which greatly simplifies the coupling between phases. Our coupling procedure, a key contribution in the current work, is shown to be computationally faster and more stable than an earlier approach and admits the ability to simulate both fluid–solid and solid–solid interaction between submerged bodies. The interface treatment is demonstrated with multiple examples involving a weakly compressible Navier–Stokes fluid interacting with a neo-Hookean solid, and we verify the method's convergence. The solid contact method, which exploits distance-measures already existing on the grid, is demonstrated with two examples. A new, general routine for cross-interface extrapolation is introduced and used as part of the new interfacial treatment.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1115/1.4029765
