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December 28, 2010, 12:42 |
Grid mapping
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#1 |
New Member
Join Date: Jul 2010
Posts: 10
Rep Power: 15 |
Hi,
I have a finite difference model for solving the Reynolds equation. This model can only work with a uniform grid. But I also want to use this model for non-uniform grids. Therefore I will use a grid mapping technique based on the Jacobian matrix. I know how this is done for the first spatial derivative (with the inverse of the Jacobian) but there are also second order spatial derivatives in my equation. How is this done for the second order derivatives (central difference formula)? Also with the Jacobian matrix? How does the Jacobian Matrix then look likes? Thanks |
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January 1, 2011, 09:55 |
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#2 |
Senior Member
John Chawner
Join Date: Mar 2009
Location: Fort Worth, Texas, USA
Posts: 275
Rep Power: 18 |
I think you should be able to find what you're looking for in here:
http://www.hpc.msstate.edu/publications/gridbook/ Good Luck
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John Chawner / jrc@pointwise.com / www.pointwise.com Blog: http://blog.pointwise.com/ on Twitter: @jchawner |
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