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

Comparison: Finite Volume Method vs. Analytic Method

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

Reply
 
LinkBack Thread Tools Search this Thread Display Modes
Old   March 5, 2010, 07:39
Default Comparison: Finite Volume Method vs. Analytic Method
  #1
New Member
 
Join Date: Mar 2010
Posts: 1
Rep Power: 0
m-fry is on a distinguished road
Hi,
at the moment I'm writing an assessment and need some help. The problem is to calculate the steady state temperature using the finite volume method in a plate. In addition, the results of the finite volume method should be compared to the exact analytical solution.

The following chart shows the results of each calculation method and the difference between them:

Temperature on node Tx: T1 T2 T3 T4 T5
Finite Volume Method: 120°C / 160°C / 200°C / 240°C / 280°C
Analytic Method: 121,8°C / 164,2°C / 205°C / 244,2°C / 281,8°C
Differences: 1,8°C / 4,2°C / 5°C / 4,2°C /1,8°C

(T0= 100°C; T6=300°C = Known surface temperature)

The Chart shows that the values of the differences get some symmetrical characteristics (1,8; 4,2; 5; 4,2; 1,8). The highest difference is to find on temperature T3 with 5°C. On both sides the differences get smaller.

My question is: How can I explain this effect? Why is the highest difference on node T3 (5°C) and why get the differences smaller on the start T1 and end T5 node.

I hope somebody can help me!

Best regards,

m-fry
m-fry is offline   Reply With Quote

Old   April 20, 2010, 14:40
Default
  #2
New Member
 
kirilhs's Avatar
 
Kiril Shterev
Join Date: Jan 2010
Location: Sofia, Bulgaria
Posts: 2
Blog Entries: 1
Rep Power: 0
kirilhs is on a distinguished road
The reason is order of accuracy of the approximation
If You use more control volumes (close to infinity) two solution have to coinside.
kirilhs is offline   Reply With Quote

Reply

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
What is C.V. based finite element method C-H Kuo Main CFD Forum 4 September 19, 2022 14:06
Finite Difference Vs. Finite Volume elankov Main CFD Forum 43 December 18, 2010 16:30
[blockMesh] BlockMesh FOAM warning gaottino OpenFOAM Meshing & Mesh Conversion 7 July 19, 2010 14:11
[blockMesh] Axisymmetrical mesh Rasmus Gjesing (Gjesing) OpenFOAM Meshing & Mesh Conversion 10 April 2, 2007 14:00
ALE in finite volume method littlelz Main CFD Forum 5 June 21, 2003 12:50


All times are GMT -4. The time now is 10:53.