Applied/Physical Applied Math: Difference between revisions

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*'''Announcements:''' Contact the organizers to join this meeting
*'''Announcements:''' Contact the organizers to join this meeting


== Fall 2023 ==
== Fall 2024 ==
    
    
{| cellpadding="8"
{| cellpadding="8"
!align="left" | date
!align="left" | Date
!align="left" | speaker
!align="left" | Speaker
!align="left" | title
!align="left" | Title
|-
|-
|Sept. 13
|Sep 11
|Yue Sun
|Spagnolie
|Current research
|Growth and buckling of filaments in viscous fluids, Part I
|-
|-
|Sept. 20
|Sep 18
|Hanzhang Mao
|Ohm
|Current research
|Rods in flows: from geometry to fluids
|-
|-
|Sept. 27
|Sep 25
|
|–
|
|
|-
|-
|Oct. 4
|Oct 2
|Jingyi Li
|Arthur Young (Rycroft Group)
|Roll cells and disclinations in sheared nematic polymers. Feng, Tao and Leal, JFM 2001.
|Multiphase Taylor–Couette flow transitions
|-
|Oct 9
|Albritton
|I thought we already knew everything about shear flows?
|-
|-
|Oct. 11
|Oct 16
|Madelyn Leembruggen
|Chandler
|
|Investigating active liquid crystals using an immersed deformable body
|-
|-
|Oct. 18
|Oct 23
|
|Ohm
|
|
|-
|-
|Oct. 25
|Oct 30
|Jiayin Lu & Danyun He
|Thiffeault
|[Update about wing analysis project at the Field Museum]
|<s>Maxey-Riley equation for active particles</s> Time-dependent reciprocal theorem
|-
|-
|Nov. 1
|Nov 6
|
|–
|
|
|-
|-
|Nov. 8
|Nov 13
|
|Ahmad Zaid Abassi
|
(UC Berkeley)
|Finite-depth standing water waves: theory, computational algorithms, and rational approximations
|-
|-
|Nov. 15
|Nov 20
|DFD practice talks?
|Jingyi Li
|
|Arrested development and traveling waves of active suspensions in nematic liquid crystals
|-
|Nov. 22
|Thanksgiving
|
|-
|-
|Nov. 29
|Nov 27
|
|''Thanksgiving''
|
|
|-
|-
|Dec. 6
|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 ==
== Archived semesters ==
*[[Applied/Physical Applied Math/Spring2024|Spring 2024]]
*[[Applied/Physical_Applied_Math/Fall2023|Fall 2023]]
*[[Applied/Physical_Applied_Math/Fall2021|Fall 2021]]
*[[Applied/Physical_Applied_Math/Fall2021|Fall 2021]]
*[[Applied/Physical_Applied_Math/Spring2021|Spring 2021]]
*[[Applied/Physical_Applied_Math/Spring2021|Spring 2021]]

Latest revision as of 17:50, 14 November 2024

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 Jingyi Li Arrested development and traveling waves of active suspensions in nematic liquid crystals
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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