CFD Online Logo CFD Online URL
www.cfd-online.com
[Sponsors]
Home > Forums > General Forums > Main CFD Forum

What are strong and weak form of conservative form

Register Blogs Members List Search Today's Posts Mark Forums Read

Reply
 
LinkBack Thread Tools Search this Thread Display Modes
Old   July 3, 2019, 04:53
Default What are strong and weak form of conservative form
  #1
Senior Member
 
Mandeep Shetty
Join Date: Apr 2016
Posts: 185
Rep Power: 10
granzer is on a distinguished road
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?)
Attached Images
File Type: png 2.PNG (10.1 KB, 32 views)
File Type: png 3.PNG (70.9 KB, 33 views)
File Type: png 4.PNG (28.3 KB, 29 views)
File Type: png 5.PNG (26.7 KB, 27 views)
granzer is offline   Reply With Quote

Old   July 3, 2019, 05:02
Default
  #2
Senior Member
 
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,842
Rep Power: 73
FMDenaro has a spectacular aura aboutFMDenaro has a spectacular aura aboutFMDenaro has a spectacular aura about
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.
FMDenaro is offline   Reply With Quote

Old   July 3, 2019, 11:18
Default
  #3
Senior Member
 
Mandeep Shetty
Join Date: Apr 2016
Posts: 185
Rep Power: 10
granzer is on a distinguished road
Quote:
Originally Posted by FMDenaro View Post
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.
Is the book "Numerical methods for conservation law"?
granzer is offline   Reply With Quote

Old   July 3, 2019, 11:25
Default
  #4
Senior Member
 
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,842
Rep Power: 73
FMDenaro has a spectacular aura aboutFMDenaro has a spectacular aura aboutFMDenaro has a spectacular aura about
Quote:
Originally Posted by granzer View Post
Is the book "Numerical methods for conservation law"?

it is explained also in the more recent https://www.cambridge.org/core/books...D52EAD6909E2B9
FMDenaro is offline   Reply With Quote

Reply

Tags
weak form

Thread Tools Search this Thread
Search this Thread:

Advanced Search
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are Off
Pingbacks are On
Refbacks are On


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


All times are GMT -4. The time now is 08:41.