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Subdivision of Fluid Flow Questions

Posted by Abhik Pramanik on December 07, 2004 at 15:52:20:

I just read Henrik Weimer and Professor Warren's paper on the Subdivision of Fluid Flow and studied chapter 5 their book on Subdivision Methods which is also on the same. However, I have questions on some of the conventions used:

I am confused as how to interpret the matrices posted on the website referenced in the paper. In the paper it is mentioned how s11 is symmetric in x and y. What is meant by that? The matrices posted don't seem symmetric in the usual sense.

Also, I am confused as to what is meant by a nxn mask. In the readme on the website it says n = the number of cells. If the velocities are on the faces, the example in the paper for 2d flow ( Figure 6 ), which shows 9x9 center velocities after subdivision, would have 9x10 x face velocities and 10x9 y face velocities? So why would the 9x9 mask be a 9x9 matrix?

With the local approximation, how is the 9x9 mask swept across the 17x17 grid to approximate the global scheme? I couldn't quite understand how the local approximation was done conceptually.

Thanks!

Abhik

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: Hi : I just read Henrik Weimer and Professor Warren's paper on the Subdivision of Fluid Flow and studied chapter 5 their book on Subdivision Methods which is also on the same. However, I have questions on some of the conventions used: : I am confused as how to interpret the matrices posted on the website referenced in the paper. In the paper it is mentioned how s11 is symmetric in x and y. What is meant by that? The matrices posted don't seem symmetric in the usual sense. : Also, I am confused as to what is meant by a nxn mask. In the readme on the website it says n = the number of cells. If the velocities are on the faces, the example in the paper for 2d flow ( Figure 6 ), which shows 9x9 center velocities after subdivision, would have 9x10 x face velocities and 10x9 y face velocities? So why would the 9x9 mask be a 9x9 matrix? : With the local approximation, how is the 9x9 mask swept across the 17x17 grid to approximate the global scheme? I couldn't quite understand how the local approximation was done conceptually. : Thanks! : Abhik

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