Applied/ACMS

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)
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	Rose Cersonsky (UW)	TBA	Chris
Mar 1 [4:00pm Colloquium]	Per-Gunnar Martinsson (UT Austin)	TBA	Li
Mar 8
Mar 15	Di Qi (Purdue University)	TBA	Chen
Mar 22
Mar 29	Spring break
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.

1. K. Kamrin, C. H. Rycroft, and J.-C. Nave, J. Mech. Phys. Solids 60, 1952–1969 (2012). [DOI link]
2. C. H. Rycroft et al., J. Fluid Mech. 898, A9 (2020). [DOI link]
3. Y. L. Lin, N. J. Derr, and C. H. Rycroft, Proc. Natl. Acad. Sci. 119, e2105338118 (2022). [DOI link]

Future semesters

• Fall 2024

Archived semesters

• Fall 2023
• Spring 2023
• Fall 2022
• Spring 2022
• Fall 2021
• Spring 2021
• Fall 2020
• Spring 2020
• Fall 2019
• Spring 2019
• Fall 2018
• Spring 2018
• Fall 2017
• Spring 2017
• Fall 2016
• Spring 2016
• Fall 2015
• Spring 2015
• Fall 2014
• Spring 2014
• Fall 2013
• Spring 2013
• Fall 2012
• Spring 2012
• Fall 2011
• Spring 2011
• Fall 2010

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