research ideas misc

Miscellaneous research ideas - REMEMBER THIS IS PUBLIC

actual real advection diffusion with a solid boundry in ibamr. problem is only the solid is only enforced with the fluid, not the advection field. There is no way to keep the advection field 0 inside in the solid area.

Field theory for fluid beyond just stokes flow. THe idea here being is that I think we are doing dissipation wrong. There has to be a more fundamental represntation that enforce energy “dissipation.” I mean dissipation is just turning energy into something else. Can we interpt dissipation in this way such that somethign is conserved? random thought, but dissipation is just moving into thermal noise right? See Dalls Albritton Research THIS IS A REAL THING - Navier Stokes Renormalization Group, very neat, need to look into more

RMT spectral method and RMT amr. this is a fully eulerian method, I think a chebyshev solver could be really fast, just have to work out the stiff insides of the solids? but spectral rmt would be cool

flag flapping 3d more realistic

swimming jelly in stokes flow, more sophisticated calculations

stokes flows colloids as field theory, there is something here I think…

field theory for classical gravity? as in perturbative expansion in low mass ratio?

simulating tentacles for swimming, thin boundaries with contact/self contact

Why are pinecones the shape they are? something something nature shape optimization?

muscles and climbing. Peskin model muscles, surely we can relate this to biomechanics of climbing. How do people climb can we prevent injuries? How do animals climb?

Brain fluid clenaing process during sleep? FSI brain simulations and sleep?

Natural fliers? little flying seedpods, optimization of nature doing what.

growth and matter, fsi problem solid has constantly changing reference configuration

cracking? how do things crack, underwater? related, designs on coral reefs?

RMT flappers can easily do a paper with flappers and itneractions and modelling an actuations contact system with also friction

What’s the best shape for a hat?

bird migration, more general noisy sensing navigation without gradient

effective viscosities of suspensions, spherical, not spherical, viscoelastic, viscoplastic, granular, etc.?

cilia transport, lagrangian transport via Cilia, fortune and Lauga, lots of remaining questions about cilia transport passive and active matter, healthy/unhealthy cilia and transport especially could be interesting.

Number of holes for a salt shaker? Is there an optimum hole size/distribution/number that somehow makes the salt shaking and pouring process optimal? You can imagine too few holes is too slow and too many holes is too fast? Does this change based on the characteristics of the salt as well?

To DO new headshot get better dressed buy headphones buy new belt Work out solutions to Slow Viscous Flows examples and Biological Physics examples and add to webiste?

Website updates + Future fixes standardize image size on project page shrink images to save space change loading from eager->lazy on many images Change font to look more professional learn actually good looking colours Add teaching section to website Good fun icon?

Reading List

For actual PhD-related work, The Fluid Dynamics of Cell Motility, Lauga Microhydrodynamics: Principles and Selected Applications, Kim & Karrila Advanced Transport Phenomena: Fluid Mechanics and Convective Transport Processes, Leal Mechanics of Swimming and Flying, Childress Dynamics of polymeric liquids : volume 2, kinetic theory, Bird, Curtiss, Armstrong, Hassager Boundary Integral and Singularity Methods for Linearized Viscous Flow, Pozrikidis The Mathematical Theory of Viscous Incompressible Flow, Ladyzhenskaia Microhydrodynamics, Brownian Motion, and Complex Fluids, Graham A Physical Introduction to Suspension Dynamics, Gauzzelli Introduction to Hydrodynamic Stability, Drazin Vorticity and Incompressible Flow, Majda Applied Analysis of the Navier-Stokes Equations, Doering Perturbation Methods, Hinch Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory, Bender

https://www.damtp.cam.ac.uk/user/hinch/teaching/FluidsIInotes.pdf and similar lecture notes

For fun, Some Basic Problems of the Mathematical Theory of Elasticity, Muskhelishvili Numerical Relativity, Shibata An Introduction To Quantum Field Theory, Peskin & Shroeder

CONFERENCES THAT ARE INTERSTING APS DFD USNCCM APS (large) USNCTAM

INTERESTING PEOPLE Karthik Menon - Georgia Tech Suhas Jain - Georgia Tech

Leif Ritroph - NYU Courant Michael Shelly - NYU Courant Charles Peskin - NYU Courant, FSI problems, IB method Mike O’Neal - NYU Courant, numerical boundary integral methods Leslie Greengard - NYU Courant, numerical PDEs, FMM Marsha Berger - NYU Courant, numerical PDEs, AMR

Eric Lauga - Cambridge, Low Re swimming, biomathematics Duncan Hewitt - Cambridge Ray Goldstein - Cambridge, biomathematics, experiments Shreyas Mandre - Cambridge, biomathematics, evolution math, fsi problems

Peter Howell - Oxford Ian Hewitt - Oxford, geological flows, ice/glacier modeling Sarah Waters - Oxford, psychological flows, biomathematics

Laurel Ohm - UW Madison, numerics Stokes Flow Dallas Albritton - UW Madison, PDE analysis on Navier-Stokes Saverio Spagnolie - UW Madison Chris Rycroft - UW Madison, numerical FSI, RMT

John Bush - MIT, hydrodynamic quantum analogs, biomathematics Jorn Dunkel - MIT, inverse problems biomathematics Keaton Burns - MIT, spectral methods, numerical PDEs, Dedalus

Ken Kamrin - UC Berkeley, solid mechanics, granular media, FSI