Calculates the potential generated due a dipole in concentric spheres with bilinear basis functions. The inner sphere has unit radius and the outer sphere a radius of 2. There is a conductivity of 0.3 in the inner sphere and 0.2 in the outer sphere.
The numerical solution is compared to the analytic solution.
The output for the mesh with
discretisation 16x16 is also given and
can be visualised using
draw.com. The potential field on the inner and outer spheres is shown
below.
#Example 329 # # Dipole in bilinear concentric spheres with a static dipole. # $size= "8x8" $size= "16x16" $size= "32x32" $size= "4x4" #choose a mesh resolution fem def para;r;bemsphere;example fem def coord 3,1 fem def base;r;bilinear;example #bilinear basis function fem def mesh;r;bemsphere_$size;example fem export node;sphere as sphere reg all #export geometry fem export elem;inner as inner reg 1 fem export elem;outer as outer reg 2 fem def equa;r;bemsphere;example region all #gen. laplaces equation fem def mate;r;bemsphere;example region all fem def sour;r;bemsphere;example region 1 #static dipole fem def anal;r;bemsphere_$size;example region all fem def init;g region all fem def coup;r;bemsphere;example fem def solv;r;bemsphere;example coupled region all
#Testing example 329 fem solve coupled fem check solution sphere region 2 # # Export the solution field # fem export node;soln as soln reg all field fem export elem;soln_inner field as soln_inner reg 1 fem export elem;soln_outer field as soln_outer reg 2
Name Modified Size
example_329.com 24-Oct-2000 834 bemsphere.ipcoup 21-Aug-2002 437 bemsphere.ipcoup.old 24-Oct-2000 386 bemsphere.ippara 12-Nov-2002 5.9k bemsphere.ipsour 24-Oct-2000 299 bemsphere.irequa 26-May-2003 1.9k bemsphere.irmate 24-Oct-2000 1.7k bemsphere.irsolv 13-Apr-2007 1.3k bemsphere_16x16.ipmesh 24-Oct-2000 1.3k bemsphere_16x16.iranal 24-Oct-2000 1.3k bemsphere_32x32.ipmesh 24-Oct-2000 1.3k bemsphere_32x32.iranal 24-Oct-2000 1.3k bemsphere_4x4.ipmesh 24-Oct-2000 1.3k bemsphere_4x4.iranal 24-Oct-2000 1.3k bemsphere_8x8.ipmesh 24-Oct-2000 1.3k bemsphere_8x8.iranal 24-Oct-2000 1.3k bilinear.ipbase 24-Oct-2000 3.4k test_output.com 24-Oct-2000 263
Name Modified Size
examples_3_32_329.tar.gz 14-Apr-2007 117k
| Status | Tested | Real time (s) | |
| i686-linux | |||
| cm | Success | Sun Mar 6 00:01:49 2016 | 1 |
| cm-debug | Success | Sat Mar 5 00:02:06 2016 | 1 |
| mips-irix | |||
| cm | Success | Sun Aug 19 01:31:20 2007 | 5 |
| cm-debug | Success | Wed Aug 15 01:30:54 2007 | 15 |
| cm-debug-clear-malloc | Success | Sat Aug 18 01:41:19 2007 | 29 |
| cm-debug-clear-malloc7 | Success | Mon Aug 20 01:37:09 2007 | 27 |
| cm64 | Success | Sun Aug 19 01:30:31 2007 | 5 |
| cm64-debug | Success | Tue Aug 21 01:29:31 2007 | 16 |
| cm64-debug-clear-malloc | Success | Thu Apr 1 10:13:24 2004 | 10 |
| rs6000-aix | |||
| cm | Success | Wed Mar 4 01:08:02 2009 | 1 |
| cm-debug | Success | Mon Mar 2 01:07:55 2009 | 3 |
| cm64 | Success | Wed Mar 4 01:08:02 2009 | 1 |
| cm64-debug | Success | Tue Mar 3 01:13:13 2009 | 3 |
| x86_64-linux | |||
| cm | Success | Sun Mar 6 00:01:02 2016 | 1 |
| cm-debug | Success | Sat Mar 5 00:01:13 2016 | 1 |
| i686-linux | |||
| Success | cm: | cmiss_test.log.retain. | |
| Success | cm-debug: | cmiss_test.log.retain. | |
| mips-irix | |||
| Success | cm: | cmiss_test.log.retain. | |
| Success | cm-debug: | cmiss_test.log.retain. | |
| Success | cm-debug-clear-malloc: | cmiss_test.log.retain. | |
| Success | cm-debug-clear-malloc7: | cmiss_test.log.retain. | |
| Success | cm64: | cmiss_test.log.retain. | |
| Success | cm64-debug: | cmiss_test.log.retain. | |
| Success | cm64-debug-clear-malloc: | cmiss_test.log.retain. | |
| rs6000-aix | |||
| Success | cm: | cmiss_test.log.retain. | |
| Success | cm-debug: | cmiss_test.log.retain. | |
| Success | cm64: | cmiss_test.log.retain. | |
| Success | cm64-debug: | cmiss_test.log.retain. | |
| x86_64-linux | |||
| Success | cm: | cmiss_test.log.retain. | |
| Success | cm-debug: | cmiss_test.log.retain. |
| i686-linux | |||
| Success | cm: | ndiff test: no significant differences with generic answer. | |
| Success | cm-debug: | ndiff test: no significant differences with generic answer. | |
| mips-irix | |||
| Success | cm: | ndiff test: no significant differences with generic answer. | |
| Success | cm-debug: | ndiff test: no significant differences with generic answer. | |
| Success | cm-debug-clear-malloc: | ndiff test: no significant differences with generic answer. | |
| Success | cm-debug-clear-malloc7: | ndiff test: no significant differences with generic answer. | |
| Success | cm64: | ndiff test: no significant differences with generic answer. | |
| Success | cm64-debug: | ndiff test: no significant differences with generic answer. | |
| Success | cm64-debug-clear-malloc: | ndiff test: no significant differences with generic answer. | |
| rs6000-aix | |||
| Success | cm: | ndiff test: no significant differences with generic answer. | |
| Success | cm-debug: | ndiff test: no significant differences with generic answer. | |
| Success | cm64: | ndiff test: no significant differences with generic answer. | |
| Success | cm64-debug: | ndiff test: no significant differences with generic answer. | |
| x86_64-linux | |||
| Success | cm: | ndiff test: no significant differences with generic answer. | |
| Success | cm-debug: | ndiff test: no significant differences with generic answer. |
Graphical output from this problem is given here.
Html last generated: Sun Mar 6 05:50:17 2016
Input last modified: Fri Apr 13 10:32:20 2007