|
[Sponsors] |
What are strong and weak form of conservative form |
|
LinkBack | Thread Tools | Search this Thread | Display Modes |
July 3, 2019, 04:53 |
What are strong and weak form of conservative form
|
#1 |
Senior Member
Mandeep Shetty
Join Date: Apr 2016
Posts: 185
Rep Power: 10 |
While going through Anderson book i read this paragraph:1.PNG Here both the strong and weak forms of the equations are given in terms of differential form without any specific explanation. I thought differential forms where strong form and the integral forms where in the weak form. Can you please shed some light on the topic. Also here it talking about the strong and the weak form of conservation form of the equation. Does that mean non-conservation form doesn't have strong and weak form? (Here hardly any thing is told about non-conservation form ...any more info on that too will be helpful. I know its also best to use conservation form for numerical method...where is non conservation form used?)
|
|
July 3, 2019, 05:02 |
|
#2 |
Senior Member
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,842
Rep Power: 73 |
This is a mathematical topic on PDE, it is not strictly a fluid dynamics or CFD issue. You can find a lot of hystorical literature about that.
In terms of the CFD framework, I suggesto to read the dedicated section in the textbook of Leveque where it is explained the concept of weak solution and it is demonstrate the link between the weak formulation and the volume integral formulation of the conservation laws. |
|
July 3, 2019, 11:18 |
|
#3 | |
Senior Member
Mandeep Shetty
Join Date: Apr 2016
Posts: 185
Rep Power: 10 |
Quote:
|
||
July 3, 2019, 11:25 |
|
#4 |
Senior Member
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,842
Rep Power: 73 |
it is explained also in the more recent https://www.cambridge.org/core/books...D52EAD6909E2B9 |
|
Tags |
weak form |
Thread Tools | Search this Thread |
Display Modes | |
|
|
Similar Threads | ||||
Thread | Thread Starter | Forum | Replies | Last Post |
Strong and Weak Forms | cfdeep | Main CFD Forum | 1 | December 11, 2016 12:36 |
vortex shedding is strong on one side and weak on the other one | leezseven | FLUENT | 0 | April 3, 2014 04:44 |
Question about FDM and supersonic flows | Guillaume_Fournier | Main CFD Forum | 2 | January 20, 2013 22:41 |
Weak and strong form of Discontinuous Galerkin method | aferrero | Main CFD Forum | 0 | June 14, 2012 11:49 |
what is the meaning of "weak form " | ztdep | Main CFD Forum | 2 | March 20, 2006 03:09 |