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BUG: fixed latex errors in MPPIC header documentation

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william 2013-12-18 10:46:53 +00:00
parent ccf3e1a376
commit 77d18a2c3f
6 changed files with 24 additions and 18 deletions
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8
src/lagrangian/intermediate/submodels/MPPIC/CorrectionLimitingMethods/absolute/absolute.H
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@ -25,9 +25,11 @@ Class
Foam::CorrectionLimitingMethods::absolute
Description
Correction limiting method that limits the velocity correction to that of a
rebound with a coefficient of restitution $e$. The absolute velocity of the
particle is used when calculating the magnitude of the limited correction.
Correction limiting method based on the absolute particle velocity.
This method that limits the velocity correction to that of a rebound with a
coefficient of restitution \f$e\f$. The absolute velocity of the particle
is used when calculating the magnitude of the limited correction.
The direction is calculated using the relative velocity.
SourceFiles

10
src/lagrangian/intermediate/submodels/MPPIC/CorrectionLimitingMethods/relative/relative.H
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@ -25,10 +25,12 @@ Class
Foam::CorrectionLimitingMethods::relative
Description
Correction limiting method that limits the velocity correction to that of a
rebound with a coefficient of restitution $e$. The relative velocity of the
particle with respect to the mean value is used to calculate the direction
and magnitude of the limited velocity.
Correction limiting method based on the relative particle velocity.
This method limits the velocity correction to that of a rebound with a
coefficient of restitution \f$e\f$. The relative velocity of the particle
with respect to the mean value is used to calculate the direction and
magnitude of the limited velocity.
SourceFiles
relative.C

1
src/lagrangian/intermediate/submodels/MPPIC/PackingModels/Explicit/Explicit.H
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@ -39,6 +39,7 @@ Description
D Snider
Journal of Computational Physics
Volume 170, Issue 2, Pages 523-549, July 2001
\endverbatim
SourceFiles
Explicit.C

10
src/lagrangian/intermediate/submodels/MPPIC/ParticleStressModels/HarrisCrighton/HarrisCrighton.H
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@ -29,12 +29,12 @@ Description
The stress value takes the following form:
\f[
\dfrac{P_s \alpha^\beta}{\max \left( \alpha_{pack} - \alpha , \epsilon
( 1 - \alpha ) \right) }
\frac{P_s \alpha^\beta}{ \mathrm{max} \left( \alpha_{pack} - \alpha ,
\epsilon ( 1 - \alpha ) \right) }
\f]
Here, $\alpha$ is the volume fraction of the dispersed phase, and the other
values are modelling constants. A small value $\epsilon$ is used to limit
the denominator to ensure numerical stability.
Here, \f$\alpha\f$ is the volume fraction of the dispersed phase, and the
other values are modelling constants. A small value \f$\epsilon\f$ is used
to limit the denominator to ensure numerical stability.
Reference:
\verbatim

12
src/lagrangian/intermediate/submodels/MPPIC/ParticleStressModels/Lun/Lun.H
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@ -29,13 +29,13 @@ Description
The stress value takes the following form:
\f[
\left[ \alpha \rho + \alpha^2 \rho (1 + e) \frac{3}{5}
\left( \frac{\alpha_{pack}}{\alpha_{pack} - \alpha}
\right)^\frac{1}{3} \right] \frac{1}{3} \sigma^2
\left( \alpha \rho + \alpha^2 \rho (1 + e) \frac{3}{5}
\left( 1 - \left( \frac{\alpha}{\alpha_{pack}} \right)^\frac{1}{3}
\right) \right) \frac{1}{3} \sigma^2
\f]
Here, $\alpha$ is the volume fraction of the dispersed phase, $\rho$ is the
density of the dispersed phase, $e$ is a coefficient of restitution, and
$\sigma$ is the RMS velocityh fluctuation.
Here, \f$\alpha\f$ is the volume fraction of the dispersed phase,
\f$\rho\f$ is the density of the dispersed phase, \f$e\f$ is a coefficient
of restitution, and \f$\sigma\f$ is the RMS velocity fluctuation.
Reference:
\verbatim

1
src/lagrangian/intermediate/submodels/MPPIC/TimeScaleModels/nonEquilibrium/nonEquilibrium.H
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@ -36,6 +36,7 @@ Description
P O'Rourke and D Snider
Chemical Engineering Science
Volume 65, Issue 22, Pages 6014-6028, November 2010
\endverbatim
SourceFiles
nonEquilibrium.C