Example 325: Flow from a cavity into an unsaturated porous media

This example calculates the flow from a cavity into an unsaturated porous media using the Yukawa (modified Helmholtz) equation.

The comfile run by this example is as follows:

#Example_325 Flow from a cavity into an unsaturated porous media

#           The Yukawa equation (or modified Helmholtz equation) arises
#           in the study of infiltration into unsaturated soils.  The 
#           problem considered below is that of steady infiltration 
#           from a circular cylindrical cavity buried at a large depth 
#           in a porous medium.

fem
fem define node;r;cavityflow;example #the nodal coordinates for the cavity
#                                !  are stored in CAVITYFLOW.ipnode in 
#                                !  the example directory.
fem define window;c  
fem define base;r;;example           #defines a BEM Lagrange/Hermite basis
#                                !  function with quadratic
#                                !  interpolation in 1 Xi coordinate.
fem define element;r;;example        #defines 10 BEM elements.
fem draw node
fem draw element
fem draw line
fem define equation;r;;example       #defines a static analysis of the
#                                !  modified Helmholtz equation by 
#                                !  direct BEM.
fem list equation                #List the equation
fem define material;r;;example       #defines the parameter s
#                                !  (dimensionless size of the cavity) 
#                                !  as constant spatially with value 1.
fem define initial;r;;example        #defines the initial conditions around
#                                !  the cavity as H=e^-s*y.
fem list initial                 #List the initial conditions
fem define solve;r;;example          #defines the solution procedure.
fem solve
fem draw field                   #Draw the solution field
# To obtain the flux from the cavity use the "fem list output" command.
# The cavity flux should be 1.30 (analytic is 1.2902).

Additional testing commands:

FEM list node solution
FEM list node flux

Files used by this example are:

Name               Modified     Size

example_325.com    10-Apr-2000  1.8k
cavityflow.ipbase  10-Apr-2000  859 
cavityflow.ipdata  10-Apr-2000  277 
cavityflow.ipelem  10-Apr-2000  6.5k
cavityflow.ipequa  26-May-2003  1.2k
cavityflow.ipinit  10-Apr-2000  5.2k
cavityflow.ipmate  10-Apr-2000  310 
cavityflow.ipnode  10-Apr-2000  3.4k
cavityflow.ipsolv  13-Apr-2007  1.1k
test_output.com    10-Apr-2000   42 

Download the entire example:

Name                      Modified     Size

examples_3_32_325.tar.gz  14-Apr-2007  5.7k

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.
  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.

  
  
• cmiss_test.out
  

  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.

  
  

Html last generated: Sun Mar 6 05:50:16 2016

Input last modified: Fri Apr 13 10:32:10 2007