Applied/Physical Applied Math: Difference between revisions
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Revision as of 17:50, 14 November 2024
Physical Applied Math Group Meeting
- When: Wednesdays at 4:00pm in VV 901
- Where: 901 Van Vleck Hall
- Organizers: Chris Rycroft, Saverio Spagnolie and Jean-Luc Thiffeault
- Announcements: Contact the organizers to join this meeting
Fall 2024
Date | Speaker | Title |
---|---|---|
Sep 11 | Spagnolie | Growth and buckling of filaments in viscous fluids, Part I |
Sep 18 | Ohm | Rods in flows: from geometry to fluids |
Sep 25 | – | |
Oct 2 | Arthur Young (Rycroft Group) | Multiphase Taylor–Couette flow transitions |
Oct 9 | Albritton | I thought we already knew everything about shear flows? |
Oct 16 | Chandler | Investigating active liquid crystals using an immersed deformable body |
Oct 23 | Ohm | |
Oct 30 | Thiffeault | |
Nov 6 | – | |
Nov 13 | Ahmad Zaid Abassi
(UC Berkeley) |
Finite-depth standing water waves: theory, computational algorithms, and rational approximations |
Nov 20 | APS DFD practice talk and happy hour | |
Nov 27 | Thanksgiving | |
Dec 4 | Thiffeault |
Abstracts
Ahmad Abassi, University of California, Berkeley
Title: Finite-depth standing water waves: theory, computational algorithms, and rational approximations
We generalize the semi-analytic standing-wave framework of Schwartz and Whitney (1981) and Amick and Toland (1987) to finite-depth standing gravity waves. We propose an appropriate Stokes-expansion ansatz and iterative algorithm to solve the system of differential equations governing the expansion coefficients. We then present a more efficient algorithm that allows us to compute the asymptotic solution to higher orders. Finally, we conclude with numerical simulations of the algorithms implemented in multiple-precision arithmetic on a supercomputer to study the effects of small divisors and the analytic properties of rational approximations of the computed solutions. This is joint work with Jon Wilkening (UC Berkeley).
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