Applied/Physical Applied Math

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Physical Applied Math Group 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 Maxey-Riley equation for active particles Time-dependent reciprocal theorem
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 talks?
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).

Archived semesters


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