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September 28, 2015, 02:20 |
projection method, commutator error
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#1 |
New Member
adam
Join Date: Sep 2015
Posts: 2
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Dear Community,
I'm studying projection methods. I saw some papers mentioned some second order methods (e.g., J. B. Bell, P. Colella, and H. M. Glaz. J. Comp. Phys., 85(2):257{283, 1989) have commutator error if boundary condition is not periodic, because the projection operator and the laplacian don't commute. 1. Does Bell etal's method still have commutator error on staggered grid? 2. Does this error decreases with time step size? 3. Is Chorin's first order method (on staggered grid) also have this kind commutator error? 4. Can anyone recommend some paper talking about this kind of error? Thanks in advance. Adam Last edited by adamphy; September 28, 2015 at 02:31. Reason: add details |
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September 28, 2015, 04:11 |
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#2 | |
Senior Member
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,893
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Quote:
The commutator error does not depend on the type of grid, it is a more general "mathematical" issue. Some years ago I published a couple of paper that analyzed these topics, you can find them on IJNMF |
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September 28, 2015, 11:38 |
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#3 |
New Member
adam
Join Date: Sep 2015
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commutator error, projection method, staggered grid |
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