......@@ -38,7 +38,7 @@ keywords such as ``mfix``, ``amr``, ``geometry``, ``nodal_proj`` etc.
.. toctree::
:maxdepth: 1
Units, mesh, geometry, species, fluid, DEM, regions, inital and boundary conditions <inputs/InputsProblemDefinition>
Units, mesh, geometry, species, fluid, DEM, regions, initial and boundary conditions <inputs/InputsProblemDefinition>
Particle drag <inputs/InputsDrag>
inputs/InputsTimeStepping
inputs/InputsInitialization
......
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......@@ -139,7 +139,7 @@ The :cpp:`mfix` class stores the following EB data:
As discussed in the previous sub-section, the difference between
:cpp:`mfix::eb_levels` and :cpp:`mfix::particle_eb_levels` enables the user to
specify a modfied EB geometry for particles only. Whereas the fluid sees the EB
specify a modified EB geometry for particles only. Whereas the fluid sees the EB
geometry in :cpp:`mfix::eb_levels`. If no addition particle EB geometry is
specified (point 4 in the previous section), then
:cpp:`mfix::particle_eb_levels` points to :cpp:`mfix::eb_levels`.
......
......
......@@ -39,7 +39,7 @@ With the variables defined as follows:
* Mug - gas laminar viscosity
* ROpg - gas density * EP_g
* vrel - magnitude of gas-solids relative velocity
* DPM - particle diamater of solids phase M
* DPM - particle diameter of solids phase M
* DPA - average particle diameter
* PHIS - solids volume fraction of solids phases
* fvelx - x component of the fluid velocity at the particle position
......
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......@@ -660,7 +660,7 @@ tridimensional). We recall that, on the remaining part of the EBs, homogeneous
Neumann boundary conditions are assumed by default.
In the following table there is a list of the possible entries for EB boundary
conditions. Each entry must be preceeded by `bc.[region0].`
conditions. Each entry must be preceded by `bc.[region0].`
+---------------------+-----------------------------------------------------------------------+-------------+-----------+
| | Description | Type | Default |
......
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......@@ -67,7 +67,7 @@ numerical results for roughly the first half of the transien: an initially flat
interface gives way to many fingers falling into the gas which merge and form
a semi-stable bubble pattern. However, the simulated bubbles appear to be less
stable than those in the lab, which rise uniformily to the surface. However, in
the simulations the center bubble rises slighlty faster than the one on the
the simulations the center bubble rises slightly faster than the one on the
left, which shifts more weight over the left-hand bubble, which further impedes
its rise and eventually "squishes" the left-hand bubble into the center bubble
as it breaks the surface. Later, the right hand bubble also merges with (what
......@@ -77,7 +77,7 @@ significantly accelerates the second half of the transient (notice the
different times between experiment and simulation). Several different
variations of this setup were performed: different drag laws, slower inversion
time, different combinations of particle restitution and friction coefficients,
inclusion of front and back walls. Although all tests were slighlty different,
inclusion of front and back walls. Although all tests were slightly different,
none were able to match the stability of the later time bubble pattern observed
experimentally.
......
......
......@@ -8,7 +8,7 @@ The HCS is the simplest non-trivial particulate gas-solid system. The continuum
gas-phase is initially at rest. The particles are uniformily distributed in space
and have zero momentum in all three directions. However, the particle pecular
velocity is non-zero, quantified by an initial *granular* temperature,
:math:`T_0`. The system is periodic in all direcitons and no external forces act
:math:`T_0`. The system is periodic in all directions and no external forces act
on the system. Under homogeneous conditions, the granular temperature, :math:`T`,
is equivalent to two-thirds of the the (massless) mean particle kinetic energy.
In the HCS, the Eulerian kinetic theory (KT) model of Garzo et al. [GTSH12]_
......@@ -62,7 +62,7 @@ the ideal :cpp:`BVK2` DNS drag law is applied, see [BvK07]_, [TPKKv15]_.
Three replicate systems are simulated with MFiX-Exa 19.08, differing only
in initial particle locations and pecular velocities. The particle kinetic
energy is averaged in the simulations (red) and compared to the analytical
granular temperature (black) of the HCS as a funciton of time in the figure
granular temperature (black) of the HCS as a function of time in the figure
above. The kinetic energy :math:`KE / KE_0` decays by two to three orders of
magnitude in line with the HCS result until clustering and localized mean
motion cause a drastic deviation. The final result at :math:`t^* = 1000`
......@@ -78,7 +78,3 @@ of the clustering instability the HCS.
Clustered state of the HCS observed by Goldhirsch and Zanetti [GZ93]_
(left) compared to an MFiX-Exa result (right).
......@@ -3,7 +3,7 @@
Qualitative Benchmarks
======================
MFiX-Exa uses a three level approach to regression testing spaning from simple
MFiX-Exa uses a three level approach to regression testing spanning from simple
and/or short smoke tests to validation problems comparing against experimental
data. Most of the validation benchmarks target the physics of interest to
MFiX-Exa's intended audience, i.e., dense bubbling, fast fluidization and
......@@ -25,4 +25,3 @@ can be seen in the
single_bubble
biseg
refs
......@@ -9,7 +9,7 @@ patterns are observed depending largely on the Geldart classification [G73]_
of the particles and the size of the bed. Like gas bubbles in a liquid bed,
the dynamics are almost always highly irregular and chaotic in nature.
However, by periodically driving the gas flow, chaotic bubbling can be
suppressed yeilding quasi-regular periodic bubbling [PB98]_. Studying bubble
suppressed yielding quasi-regular periodic bubbling [PB98]_. Studying bubble
control methods, Coppens and coworkers [Cv03]_ realized that periodic bubbling
produces starkly regular patterns in thin beds, which may be useful for code
validation [WdLC16]_. Shahnam and coworkers took the problem even further and
......@@ -50,5 +50,3 @@ constant diameter and density of :math:`d_p = 400` microns and
The bed is simulated using MFiX-Exa 19.08 for an initial transient period of
10 s before an observation window of an additional 5 s. The desired left-right
pattern is seen as shown in the figure above.
......@@ -22,7 +22,7 @@ References
*Chemical Engineering Journal*, **96**, 117--124 (2003).
.. [FLYH18] W.D. Fullmer, X. Li, X. Yin and C.M. Hreyna. Notes on clustering
in hte gas-solid HCS. `arxiv:1809.04173 <https://arxiv.org/abs/1809.04173>`_
in the gas-solid HCS. `arxiv:1809.04173 <https://arxiv.org/abs/1809.04173>`_
(2018).
.. [G73] D. Geldart. Types of gas fluidization. *Powder Technology*, **7** (5), 285--292 (1973)
......@@ -82,5 +82,3 @@ References
.. [YZMH13] X. Yin, J.R. Zenk, P.P. Mitrano, and C.M. Hrenya. Impact of
Collisional Versus Viscous Dissipation on Flow Instabilities in
Gas-Solid Systems. *Journal of Fluid Mechanics*, **727**, R2 (2013).
......@@ -48,7 +48,7 @@
</center>
</div>
<div class="8u$ 12u(small)">
Describ the animation here.
Describe the animation here.
<p><p>
Image courtesy of Contrib A, <a href="https://www.contribb.page.com">Contrib B</a>,
......@@ -114,7 +114,7 @@ END TEMPLATE-->
by C.M. Boyce and coworkers considers the rapid, high-speed injection
of a single bubble into an incipiently fluidized bed. Here, the 50 m/s jet is turned on
for 150 ms causing a single large bubble to form, rise through the 3 mm particle bed and
erupt a the surface. <a href="https://ovito.org">Ovito</a> animaiton shows particles in
erupt a the surface. <a href="https://ovito.org">Ovito</a> animation shows particles in
the center 10 mm thick slice of the 190 mm diameter bed, colored by their vercial
velocity ranging from -0.3 m/s (black) to 1.0 m/s (white).
Simulation models 260K particles with MFiX-Exa 19.08 using 32 CPU cores.
......@@ -239,7 +239,7 @@ END TEMPLATE-->
In this simulation,
the multiphase field method is used and the evolution equation is integrated explicitly.
Microstructure evolution is driven by boundary curvature (as in high temperature annealing) which causes coarsening.
The microstructure is initialized using a Voronoi tesselation with 40 initial grains.
The microstructure is initialized using a Voronoi tessellation with 40 initial grains.
The simulation has three levels of mesh refinement,
and was run on the Texas Advanced Computing Center Stampede2 computer with 512 MPI processes for 10 hours. <p><p>
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