Comparison: Finite Volume Method vs. Analytic Method

 User Name Remember Me Password
 Register Blogs Members List Search Today's Posts Mark Forums Read

 LinkBack Thread Tools Display Modes
 March 5, 2010, 08:39 Comparison: Finite Volume Method vs. Analytic Method #1 New Member   Join Date: Mar 2010 Posts: 1 Rep Power: 0 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

 April 20, 2010, 14:40 #2 New Member   Kiril Shterev Join Date: Jan 2010 Location: Sofia, Bulgaria Posts: 2 Blog Entries: 1 Rep Power: 0 The reason is order of accuracy of the approximation If You use more control volumes (close to infinity) two solution have to coinside.

 Thread Tools Display Modes Linear Mode

 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 OffTrackbacks are On Pingbacks are On Refbacks are On Forum Rules

 Similar Threads Thread Thread Starter Forum Replies Last Post elankov Main CFD Forum 43 December 18, 2010 17:30 gaottino OpenFOAM Native Meshers: blockMesh 7 July 19, 2010 14:11 Rasmus Gjesing (Gjesing) OpenFOAM Native Meshers: blockMesh 10 April 2, 2007 14:00 littlelz Main CFD Forum 5 June 21, 2003 12:50 C-H Kuo Main CFD Forum 3 November 5, 1998 10:07

All times are GMT -4. The time now is 19:32.

 Contact Us - CFD Online - Top