Example 317: Heat distribution in a plate using integrated point fluxes with biquadratic elements

This example calculates the steady state temperature distribution inside a plate using FEM, with integrated point fluxes and biquadratic elements.

The comfile run by this example is as follows:

#Example_317 Steady state temperature distribution in a plate (see example_111).
#This example uses point fluxes to enter intial conditions.
fem                                #Set the FEM environment
fem define parameters;r;quadratic;example #Reads parameters needed to define the plate

fem define coordinates;r;;example  #Reads in the coordinates used for the plate
fem define nodes;r;;example        #Reads in the nodes to define the plate
fem define bases;r;;example        #Defines a biquadratic basis function
fem define elements;r;;example     #Reads in elements from file
fem define wind;c                  #Calculates the graphic window size
fem draw lines                     #Makes the line segments visible
fem draw nodes                     #Makes the node numbers visible
fem define equation;r;;example     #Defines a STATIC analysis of LAPLACE's 
#                                  !equation (STANDARD) using GALERKIN 
#                                  !FINITE ELEMENTS with LINEAR ANALYSIS
fem define material;r;;example     #Define material properties (none)
fem define initial;r;;example      #Defines initial conditions
#                                  !Three sides are held at zero and the forth
#                                  !side has a uniform heat flux of 1
fem list init                      #list the initial conditions
fem define solve;r;;example        #Defines solver options, default all settings
fem sol                            #Solves the boundary value problem
fem draw field                     #This will draw colour temperature field

Additional testing commands:

FEM list init

Files used by this example are:

Name              Modified     Size

example_317.com 20-Nov-2001 1.5k quadratic.ipbase 10-Apr-2000 1.2k quadratic.ipcoor 10-Apr-2000 858 quadratic.ipelem 10-Apr-2000 1.3k quadratic.ipequa 26-May-2003 1.3k quadratic.ipinit 10-Apr-2000 727 quadratic.ipmate 10-Apr-2000 54 quadratic.ipnode 10-Apr-2000 4.2k quadratic.ippara 12-Nov-2002 5.9k quadratic.ipsolv 13-Apr-2007 1.1k test_output.com 10-Apr-2000 14

Download the entire example:

Name                      Modified     Size

examples_3_31_317.tar.gz 14-Apr-2007 7.1k

Testing status by version:

StatusTestedReal time (s)
cmSuccessSun Mar 6 00:01:45 20161
cm-debugSuccessSat Mar 5 00:02:01 20160
cmSuccessSun Aug 19 01:22:28 20073
cm-debugSuccessWed Aug 15 01:20:44 20075
cm-debug-clear-mallocSuccessSat Aug 18 01:23:33 20079
cm-debug-clear-malloc7SuccessMon Aug 20 01:21:39 20078
cm64SuccessSun Aug 19 01:25:21 20072
cm64-debugSuccessTue Aug 21 01:19:52 20075
cm64-debug-clear-mallocSuccessThu Apr 1 10:12:43 20043
cmSuccessWed Mar 4 01:07:00 20091
cm-debugSuccessMon Mar 2 01:06:16 20091
cm64SuccessWed Mar 4 01:07:00 20091
cm64-debugSuccessTue Mar 3 01:11:51 20091
cmSuccessSun Mar 6 00:01:01 20160
cm-debugSuccessSat Mar 5 00:01:12 20160

Testing status by file:

Html last generated: Sun Mar 6 05:50:15 2016

Input last modified: Fri Apr 13 10:31:56 2007

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