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Commit ef7566fb authored by wenqing's avatar wenqing
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[Web] Added a description of "A test with nodal source term"

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title = "A test with nodal source term"
date = 2021-04-14T15:31:38+02:00
weight = 151
project = "HydroMechanics/HydroMechanics/NodalSourceTerm/nodal_source_test.prj"
author = "Wenqing Wang"
[menu]
[menu.benchmarks]
parent = "hydro-mechanics"
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{{< data-link >}}
---
The purpose of this benchmark is to test the source term type of NodalSourceTerm
being applied to the hydraulic equation in the computations with the
Taylor-Hood elements,
e.g., the pressure interpolation using linear shape function,
and the displacement interpolation using quadratic shape function.
The problem is solved on a rectangular domain 2 m $\times$ 1 m.
Nodal fluid flux is applied on the left boundary nodes with a value of
0.001 kg/s via the property of NodalSourceTerm.
The pore pressure on the right boundary is equal to the initial pore pressure
of $10^5$ Pa.
The displacement in the normal direction of all boundaries except
the left one is fixed.
Fluid and solid are incompressible.
All involved parameters are listed in the following tables:
<table>
<caption>Material Properties</caption>
<thead>
<tr class="header">
<th align="left">Property</th>
<th align="left">Value</th>
<th align="left">Unit</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td align="left">Fluid density</td>
<td align="left">$10^3$</td>
<td align="left">kg/m$^3$</td>
</tr>
<tr class="odd">
<td align="left">Viscosity</td>
<td align="left">$10^{-3}$</td>
<td align="left">Pa$\cdot$s</td>
</tr>
<tr class="odd">
<td align="left">Permeability</td>
<td align="left">$10^{-14}$</td>
<td align="left">m$^2$</td>
</tr>
<tr class="even">
<td align="left">Young’s modulus (bulk)</td>
<td align="left">$2.5\cdot 10^9$</td>
<td align="left">Pa</td>
</tr>
<tr class="odd">
<td align="left">Poisson ratio (bulk)</td>
<td align="left">$0.27$</td>
<td align="left">-</td>
</tr>
<tr class="even">
<td align="left">Biot coefficient</td>
<td align="left">$0.9$</td>
<td align="left">-</td>
</tr>
</tbody>
</table>
The time period of 86400 is discretised into 100 steps.
The distributions of pressure and displacement at the end time are shown in the
following figure:
{{< img src="../nodal_source_test.png" >}}
\ No newline at end of file
web/content/docs/benchmarks/hydro-mechanics/nodal_source_test.png

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