Immersed Boundary method and No-Slip condition

In summary, the conversation discussed the use of the Immersed Boundary method with Adaptive Mesh to model cardiovascular flow. One individual shared their experience with using the method and asked for recommendations for an introductory presentation to share with their student. A suggested resource for learning about the method was a book by J. T. Kirby and M. J. Shelley, as well as tutorials and software packages available online.
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Andy Resnick
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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...
 
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One of the best resources for learning about the Immersed Boundary Method is the book, "The Immersed Boundary Method: A Fundamental Approach to Fluid-Structure Interaction" by J. T. Kirby and M. J. Shelley. It includes an introduction to the method as well as examples of applications. In addition, there are several tutorials available online such as this one from the Computational Fluid Dynamics website. Finally, there are also several software packages available that provide IB methods such as the open-source OpenFOAM and commercial software packages such as COMSOL.
 

Related to Immersed Boundary method and No-Slip condition

1. What is the Immersed Boundary method?

The Immersed Boundary method is a numerical technique used in fluid dynamics to simulate the behavior of fluids around solid objects. It involves representing the solid objects as a series of points or markers on a computational grid, rather than explicitly modeling the geometry of the objects. This allows for more efficient and accurate simulation of complex fluid-structure interactions.

2. How does the Immersed Boundary method handle the No-Slip condition?

The No-Slip condition states that the velocity of the fluid at the surface of a solid object must be equal to the velocity of the object itself. This condition is essential for accurately modeling the interaction between fluids and solid objects. The Immersed Boundary method handles this condition by using interpolation and extrapolation techniques to calculate the velocity of the fluid at the boundary of the solid object.

3. What are the advantages of using the Immersed Boundary method?

One of the main advantages of the Immersed Boundary method is its ability to accurately simulate complex fluid-structure interactions without the need for complex and computationally expensive mesh generation. It also allows for the simulation of highly flexible and deformable objects, making it useful for studying soft materials and biological systems.

4. Are there any limitations to using the Immersed Boundary method?

While the Immersed Boundary method is a powerful tool for simulating fluid-structure interactions, it does have some limitations. It is most effective for low to moderate Reynolds number flows and may struggle with highly turbulent flows. It also requires careful tuning of parameters and can be computationally demanding for large-scale simulations.

5. How is the Immersed Boundary method used in practical applications?

The Immersed Boundary method has a wide range of applications in various fields, including aerospace, automotive, and biomedical engineering. It is commonly used to study the aerodynamics of vehicles and aircraft, as well as the fluid dynamics of blood flow and respiratory systems. It is also used in the design and optimization of pumps, turbines, and other fluid machinery.

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