Applied/ACMS: Difference between revisions
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== Abstracts == | |||
==== Chris Rycroft (UW–Madison) ==== | |||
Title: The reference map technique for simulating complex materials and multi-body interactions | |||
Conventional computational methods often create a dilemma for fluid–structure interaction problems. Typically, solids are simulated using a Lagrangian approach with grid that moves with the material, whereas fluids are simulated using an Eulerian approach with a fixed spatial grid, requiring some type of interfacial coupling between the two different perspectives. Here, a fully Eulerian method for simulating structures immersed in a fluid will be presented [1]. By introducing a reference map variable to model finite-deformation constitutive relations in the structures on the same grid as the fluid, the interfacial coupling problem is highly simplified. The method is particularly well suited for simulating soft, highly-deformable materials and many-body contact problems [2], and several examples in two and three dimensions [3] will be presented. | |||
# K. Kamrin, C. H. Rycroft, and J.-C. Nave, J. Mech. Phys. Solids '''60''', 1952–1969 (2012). [https://doi.org/10.1073/pnas.2105338118 <nowiki>[DOI link]</nowiki>] | |||
# C. H. Rycroft ''et al.'', J. Fluid Mech. '''898''', A9 (2020). [https://doi.org/10.1017/jfm.2020.353 <nowiki>[DOI link]</nowiki>] | |||
# Y. L. Lin, N. J. Derr, and C. H. Rycroft, Proc. Natl. Acad. Sci. '''119''', e2105338118 (2022). [https://doi.org/10.1016/j.jmps.2012.06.003 <nowiki>[DOI link]</nowiki>] | |||
== Future semesters == | == Future semesters == | ||
Revision as of 02:54, 15 January 2024
Applied and Computational Mathematics Seminar
- When: Fridays at 2:25pm (except as otherwise indicated)
- Where: 901 Van Vleck Hall
- Organizers: Maurice Fabien, Chris Rycroft, and Saverio Spagnolie,
- To join the ACMS mailing list: Send mail to acms+join@g-groups.wisc.edu.
Spring 2024
| date | speaker | title | host(s) |
|---|---|---|---|
| Jan 26 | |||
| Feb 2 | Chris Rycroft (UW) | The reference map technique for simulating complex materials and multi-body interactions | |
| Feb 9 | Scott Weady (Flatiron Institute) | TBA | Saverio and Laurel |
| Feb 16 | David Saintillan (UC San Diego) | TBA | Saverio and Tom |
| Feb 23 | sorry I need to hold this for a little while | Li | |
| Mar 1 [4:00pm Colloquium] | Per-Gunnar Martinsson (UT Austin) | TBA | Li |
| Mar 8 | |||
| Mar 15 | Di Qi (Purdue University) | TBA | Chen |
| Mar 22 | Spring break | ||
| Mar 29 | Rose Cersonsky (UW) | TBA | Chris |
| Apr 5 | Jinlong Wu (UW) | TBA | Saverio |
| Apr 12 | Gabriel Zayas-Caban (UW) | TBA | Li |
| Apr 19 | Tony Kearsley (NIST) | TBA | Fabien |
| Apr 26 | Malgorzata Peszynska (Oregon State) | TBA | Fabien |
Abstracts
Chris Rycroft (UW–Madison)
Title: The reference map technique for simulating complex materials and multi-body interactions
Conventional computational methods often create a dilemma for fluid–structure interaction problems. Typically, solids are simulated using a Lagrangian approach with grid that moves with the material, whereas fluids are simulated using an Eulerian approach with a fixed spatial grid, requiring some type of interfacial coupling between the two different perspectives. Here, a fully Eulerian method for simulating structures immersed in a fluid will be presented [1]. By introducing a reference map variable to model finite-deformation constitutive relations in the structures on the same grid as the fluid, the interfacial coupling problem is highly simplified. The method is particularly well suited for simulating soft, highly-deformable materials and many-body contact problems [2], and several examples in two and three dimensions [3] will be presented.
- K. Kamrin, C. H. Rycroft, and J.-C. Nave, J. Mech. Phys. Solids 60, 1952–1969 (2012). [DOI link]
- C. H. Rycroft et al., J. Fluid Mech. 898, A9 (2020). [DOI link]
- Y. L. Lin, N. J. Derr, and C. H. Rycroft, Proc. Natl. Acad. Sci. 119, e2105338118 (2022). [DOI link]
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