Volumetric Integration¶
This option enables computation of overall integrated quantities for a specific volume. Several standard options are available and the user is permitted to define his/her own integrand to be evaluated in this section. However, the current implementation of these volumetric integrals is limited to generalized Newtonian fluids. Output is to a specified file.
Post Processing Volumetric Integration¶
Post Processing Volumetric Integration =
Description / Usage¶
This card indicates that the cards between this and an END OF VOLUME_INT card are to be read and processed. If this card (Post Processing Volumetric Integration) is not present, VOLUME_INT cards will be ignored.
Examples¶
There are no input parameters for this card, which always appears as follows:
Post Processing Volumetric Integration =
Technical Discussion¶
No Discussion.
References¶
No References.
VOLUME_INT¶
VOLUME_INT = {volume_type} <blk_id> <species_no> <file_string> [float_list]
Description / Usage¶
The VOLUME_INT card activates computation of specified volumetric integrals during post processing. As many of these VOLUME_INT cards as desired can be input to Goma. Definitions of the input parameters are as follows:
<volume_type> 
Several choices of volumetric integral are allowed and are referenced through this parameter. The permissible values and corresponding volume integral follow:

<blk_id> 
The element block id for which the volume integral is requested. 
<species_no> 
The species number for SPECIES_MASS volume integral. 
<file_string> 
A character string that corresponds to the name of the text file that will receive the results of the integration at each time step. 
[float_list] 
A floating point value that specifies the length scale of the smooth Heaviside function. This parameter is only used for VOLUME_INT cards in which the {volume_type} is {POSITIVENEGATIVE} _FILL or NEGATIVE_V{XYZ}. The float list is also used for the constants A, B, C, etc in the SURFACE_SPECIES type. 
Examples¶
Here is an example of an input deck with 3 VOLUME_INT cards.
Post Processing Volumetric Integration =
VOLUME_INT = VOLUME 1 0 volume.out
VOLUME_INT = SPECIES_MASS 2 3 species3.out
VOLUME_INT = NEGATIVE_FILL 1 0 fill.out 0.1
END OF VOLUME_INT
Technical Discussion¶
The volume integrations are carried out as follows:
volume_type 
volume integral 
VOLUME 
\(\int\) dV 
DISSIPATION 
\(\int\) (p \(\zeta + \tau\)) • \(\Delta\) vdV 
JOULE 
\(\int\) \(\frac{1}{\sigma}\) J • JdV 
SPECIES_MASS 
\(\int\) \(c_jdV\) 
MOMENTUM_{XYZ} 
\(\int\) \(\rho\) (ijk) • vdV 
STRESS_TRACE 
\(\int\) tr(p \(\zeta + \tau\)) dV 
{POSITIVENEGATIVE}_FILL 
\(\int\) H(\(\phi\)) dV 
NEGATIVE_V{XYZ} 
\(\int\) H(\(\phi\)) {ijk} • vdV 
POROUS_LIQ_INVENTORY 
\(\int\) [\(\rho_{gas}\) \(\phi\) (1S) + \(\rho_{liq}\) \(\phi\) S] dV 
References¶
No References.
END OF VOLUME_INT¶
END OF VOLUME_INT
Description / Usage¶
This card is used to denote the end of a set of VOLUME_INT cards and is only used when the Post Processing Volumetric Integration card is present and one or more VOLUME_INT cards are specified.
Examples¶
The VOLUME_INT card shows an example of using this card in context. Because the card has no input parameters, it always appears as
END OF VOLUME_INT
Technical Discussion¶
No Discussion.
References¶
No References.