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December 18, 2013, 03:28 |
Mathematical derivation of SIMPLE etc.
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#1 |
New Member
Join Date: Jan 2013
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Hi,
are the any mathematical derivations/proofs which show that the algorithms like SIMPLE/SIMPLER/PISO are working? I can only find the original papers but I don't like to buy them till I know that this mathematical stuff is included. Best Regards, Za-ck |
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December 18, 2013, 09:38 |
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#2 |
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Philipp
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Location: Germany
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I don't think there are any proofs. Like all other non-linear solvers (at least that I know) I think you can not show that they converge for every case. As far as I know, this (showing convergence) only works with really simple cases, such as linear problems.
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The skeleton ran out of shampoo in the shower. Last edited by RodriguezFatz; December 19, 2013 at 04:09. |
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December 18, 2013, 10:40 |
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#3 |
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I don't know about the specific algorithms above, but YOU CAN show stability and convergence for nonlinear solvers.
In fact I'm pretty sure you must show stability and convergence of any new solver. CFX for example is unconditionally stable/// |
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December 19, 2013, 04:13 |
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#4 |
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Philipp
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This statement does not make any sense. CFX is a software tool with tons of different numerical methods.
Please go to CFX and set under relaxation factor for pressure to 100 in SIMPLE. See what happens.
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The skeleton ran out of shampoo in the shower. |
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December 19, 2013, 04:49 |
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#5 | |
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Filippo Maria Denaro
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Quote:
Could you better formulate your question? what do you mean with "are working"? Discrete formulations that are consistent and stable must always work ... |
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