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October 27, 2010, 09:04 |
Euler, Backward time schemes
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#1 |
Senior Member
Claus Meister
Join Date: Aug 2009
Location: Wiesbaden, Germany
Posts: 241
Rep Power: 18 |
Dear Foamers,
hopefully someone has already experience with the Versteeg book and the Euler and backward time scheme. In Versteeg, three schemes are discussed from which I don't know which belongs to Euler and which to backward. Can anybody help? Cheers in advance |
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October 27, 2010, 15:06 |
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#2 |
Senior Member
Santiago Marquez Damian
Join Date: Aug 2009
Location: Santa Fe, Santa Fe, Argentina
Posts: 452
Rep Power: 24 |
If I interpreted well, Versteeg discusses three temporal schemes: explicit, fully implicit and Crank Nicholson, where fully implicit stands for Backward Euler and explicit for Forward Euler. Explicit scheme ins't implemented in FOAM as an option for Time Schemes, Crank Nicholson is the same (but you can tune up a parameter), Backward Euler is Euler in FOAM. Finally Backward from FOAM is not explained in Versteeg I think, and basically is a second order time scheme, using previous, actual and next time step data.
Regards.
__________________
Santiago MÁRQUEZ DAMIÁN, Ph.D. Research Scientist Research Center for Computational Methods (CIMEC) - CONICET/UNL Tel: 54-342-4511594 Int. 7032 Colectora Ruta Nac. 168 / Paraje El Pozo (3000) Santa Fe - Argentina. http://www.cimec.org.ar |
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October 27, 2010, 18:48 |
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#3 |
Senior Member
Claus Meister
Join Date: Aug 2009
Location: Wiesbaden, Germany
Posts: 241
Rep Power: 18 |
Let me change my question: is backward just the backward differencing formula approach (BDF) ?
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October 27, 2010, 19:09 |
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#4 |
Senior Member
Santiago Marquez Damian
Join Date: Aug 2009
Location: Santa Fe, Santa Fe, Argentina
Posts: 452
Rep Power: 24 |
Backward Scheme formulation is explained in Programmer's guide as a second order scheme in stead of backward differencing, that, at least as I know it, is a first order differencing scheme.
Regards.
__________________
Santiago MÁRQUEZ DAMIÁN, Ph.D. Research Scientist Research Center for Computational Methods (CIMEC) - CONICET/UNL Tel: 54-342-4511594 Int. 7032 Colectora Ruta Nac. 168 / Paraje El Pozo (3000) Santa Fe - Argentina. http://www.cimec.org.ar |
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December 17, 2015, 10:16 |
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#5 | |
New Member
SINA.KHAYYAM
Join Date: Dec 2015
Posts: 7
Rep Power: 10 |
Quote:
I want to implement the Forward Euler scheme in open Foam. In order to write it i need to get help from its Backward scheme. Unfortunately i cannot find it in Open Foam. I would like to know if you can show me the suitable path in Open Foam to get it and compare it with the Forward scheme which i wrote. Cheers in advance |
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