Eulerian Method for fluid-structure interaction and submerged solid-solid contact problems
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...
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
ASME International
2015
|
| Online Access: | http://hdl.handle.net/1721.1/97527 https://orcid.org/0000-0002-5154-9787 |
| _version_ | 1826205232363732992 |
|---|---|
| author | Valkov, Boris Rycroft, Chris H. Kamrin, Kenneth N. |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Valkov, Boris Rycroft, Chris H. Kamrin, Kenneth N. |
| author_sort | Valkov, Boris |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T13:09:46Z |
| format | Article |
| id | mit-1721.1/97527 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:09:46Z |
| publishDate | 2015 |
| publisher | ASME International |
| record_format | dspace |
| spelling | mit-1721.1/975272022-10-01T13:25:50Z Eulerian Method for fluid-structure interaction and submerged solid-solid contact problems Eulerian Method for Multiphase Interactions of Soft Solid Bodies in Fluids Valkov, Boris Rycroft, Chris H. Kamrin, Kenneth N. Massachusetts Institute of Technology. Department of Mechanical Engineering Valkov, Boris Kamrin, Kenneth N. 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. Massachusetts Institute of Technology. Department of Mechanical Engineering United States. Dept. of Energy. Office of Nuclear Energy (Consortium of Advanced Simulation for Light Water Reactors (CASL) Program) (Contract DE-AC0500OR22725) 2015-06-26T12:43:09Z 2015-06-26T12:43:09Z 2015-03 2015-02 Article http://purl.org/eprint/type/JournalArticle 0021-8936 1528-9036 http://hdl.handle.net/1721.1/97527 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. https://orcid.org/0000-0002-5154-9787 en_US http://dx.doi.org/10.1115/1.4029765 Journal of Applied Mechanics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf ASME International arXiv |
| spellingShingle | Valkov, Boris Rycroft, Chris H. Kamrin, Kenneth N. Eulerian Method for fluid-structure interaction and submerged solid-solid contact problems |
| title | Eulerian Method for fluid-structure interaction and submerged solid-solid contact problems |
| title_full | Eulerian Method for fluid-structure interaction and submerged solid-solid contact problems |
| title_fullStr | Eulerian Method for fluid-structure interaction and submerged solid-solid contact problems |
| title_full_unstemmed | Eulerian Method for fluid-structure interaction and submerged solid-solid contact problems |
| title_short | Eulerian Method for fluid-structure interaction and submerged solid-solid contact problems |
| title_sort | eulerian method for fluid structure interaction and submerged solid solid contact problems |
| url | http://hdl.handle.net/1721.1/97527 https://orcid.org/0000-0002-5154-9787 |
| work_keys_str_mv | AT valkovboris eulerianmethodforfluidstructureinteractionandsubmergedsolidsolidcontactproblems AT rycroftchrish eulerianmethodforfluidstructureinteractionandsubmergedsolidsolidcontactproblems AT kamrinkennethn eulerianmethodforfluidstructureinteractionandsubmergedsolidsolidcontactproblems AT valkovboris eulerianmethodformultiphaseinteractionsofsoftsolidbodiesinfluids AT rycroftchrish eulerianmethodformultiphaseinteractionsofsoftsolidbodiesinfluids AT kamrinkennethn eulerianmethodformultiphaseinteractionsofsoftsolidbodiesinfluids |