Example 3154: Steady state heat distibution in a plate calculated using the laplace equation. Refined three times

This family of example use the laplace equation to calculate the temperature distribution inside a plate using FEM. Bicubic hermite bases functions are used as the elements. This is the same problem as 3151, but with Xi refined three times in each direction.

The comfile run by this example is as follows:

#Example_3154 Steady state temperature distribution in a plate (see example_3141).
#This example is used to test the convergence of the Laplace or Poisson equation
#This example is example_3151 refined three times per Zhi. The basis function is bicubic hermite. 
#
fem                                        #Set the FEM environment
fem define parameter;r;lapcub4;example     #Defines the necessary parameters
fem define coordinate;r;lapcub4;example    #Reads in the coordinates used for the plate
fem define nodes;r;lapcub4;example         #Reads in the nodes to define the plate
fem define bases;r;lapcub4;example         #Defines a bicubic hermite basis function
fem define elements;r;lapcub4;example      #Reads in elements from file
fem define wind;c                          #Calculates the graphic window size
fem draw lines                             #Makes the line segments visible
fem define equation;r;lapcub4;example      #Defines a STATIC analysis of LAPLACE's eqn
fem define material;r;lapcub4;example      #Define material properties (none)
fem define initial;r;lapcub4;example       #Defines initial conditions
#                                          !Three sides are held at zero and the forth
#                                          !side has a heat function of Sin(Pi Y/L)
fem define solve;r;lapcub4;example         #Defines solver options, default all settings
fem sol                                    #Solves the boundary value problem
fem draw field                             #This will draw colour temperature field
fem draw contours label off                #Draws 10 contours step size 0.1 deg

Additional testing commands:

#Testing example 3154

Files used by this example are:

Name              Modified     Size

example_3154.com  17-Jul-2001  1.6k
lapcub4.ipbase    07-Jul-2000  1.5k
lapcub4.ipcoor    07-Jul-2000  860 
lapcub4.ipelem    07-Jul-2000  135k
lapcub4.ipequa    26-May-2003  1.3k
lapcub4.ipinit    28-Jun-2001   25k
lapcub4.ipmate    07-Jul-2000   54 
lapcub4.ipnode    07-Jul-2000  332k
lapcub4.ippara    12-Nov-2002  5.9k
lapcub4.ipsolv    13-Apr-2007  1.1k
lapcub4.opvari    07-Jul-2000  320k
test_output.com   07-Jul-2000   22 

Download the entire example:

Name                           Modified     Size

examples_3_31_315_3154.tar.gz  24-May-2010   74k

Testing status by version:

Testing status by file:

• cmiss_test.log
  

  i686-linux
  Success	cm:	cmiss_test.log.retain.
  Success	cm-debug:	cmiss_test.log.retain.
  x86_64-linux
  Success	cm:	cmiss_test.log.retain.
  Success	cm-debug:	cmiss_test.log.retain.

  
  

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

Input last modified: Fri Apr 13 10:31:51 2007