Undergrad Immersed Boundary method and No-Slip condition

Click For Summary
SUMMARY

The Immersed Boundary (IB) method, particularly when combined with Adaptive Mesh techniques, is effective for modeling cardiovascular flow. The classical approach to modeling pulsatile flow in elastic tubes, as described by Womersley and Zamir, relies on the no-slip boundary condition, which the IB method inherently satisfies. This discussion highlights the need for introductory resources on the IB method to aid undergraduate students in understanding this advanced modeling technique.

PREREQUISITES
  • Understanding of the Immersed Boundary method
  • Familiarity with Adaptive Mesh techniques
  • Knowledge of Womersley and Zamir's classical approach to fluid dynamics
  • Basic principles of no-slip boundary conditions in fluid mechanics
NEXT STEPS
  • Research introductory presentations on the Immersed Boundary method
  • Explore resources on Adaptive Mesh refinement techniques
  • Study Womersley and Zamir's classical approach in detail
  • Investigate applications of the no-slip boundary condition in computational fluid dynamics
USEFUL FOR

This discussion is beneficial for fluid dynamics researchers, educators in computational modeling, and undergraduate students seeking to understand advanced modeling techniques in cardiovascular flow dynamics.

Andy Resnick
Science Advisor
Education Advisor
Insights Author
Messages
7,715
Reaction score
3,839
Just got back from a conference where one of the invited speakers presented his work on using the Immersed Boundary method with Adaptive Mesh (to model cardiovascular flow):

https://cims.nyu.edu/~griffith/

This summer, I have an undergrad modeling pulsatile flow in an elastic tube using the 'classical' approach by Womersley and Zamir, matching the fluid and wall velocities at the boundaries by the no-slip boundary condition. It's my understanding that the IB approach automatically satisfies the no-slip condition, so I'd like to give the undergrad some exposure to this alternate method.

Unfortunately, I have no experience in IB and don't know enough to provide my student a tutorial. Can anyone recommend a introductory presentation?

Thanks in advance...
 
  • Like
Likes Greg Bernhardt

Thread 'Traveling through space at zero km/s'

In sci-fi when an author is talking about space travellers or describing the movement of galaxies they will say something like “movement in space only means anything in relation to another object”. Examples of this would be, a space ship moving away from earth at 100 km/s, or 2 galaxies moving towards each other at one light year per century. I think it would make it easier to describe movement in space if we had three axis that we all agree on and we used 0 km/s relative to the speed of...
View full post »

Similar threads

Undergrad Boundary Conditions For Modelling of a Fluid Using Euler's Equations
  • · Replies 16 ·
Replies
16
Views
3K
Physics Experimental undergrad research in SOP for theoretical grad research?
  • · Replies 2 ·
Replies
2
Views
1K
Marcel Twelve redefines mainstream
  • · Replies 3 ·
Replies
3
Views
3K
Which Papers Will Shape Future Quantum Gravity Research?
  • · Replies 2 ·
Replies
2
Views
3K
Requesting suggestions for languages, libraries, and architectures for parallel (and sometimes non parallel) numerical and scientific computations
  • · Replies 8 ·
Replies
8
Views
4K