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fem2d_navier_stokes_inout.html
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<html>
<head>
<title>
FEM2D_NAVIER_STOKES_INOUT - "Inout" Routines for FEM2D_NAVIER_STOKES
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
FEM2D_NAVIER_STOKES_INOUT <br> "Inout" Routines for FEM2D_NAVIER_STOKES
</h1>
<hr>
<p>
<b>FEM2D_NAVIER_STOKES_INOUT</b>
is a FORTRAN90 library which
supplies information defining a Navier-Stokes flow problem in the
"inout" region, which is a square region that is 1 unit wide and 1 unit
high. A parabolic inflow is specified on the lower left, and
a zero Neumann outflow is specified on the upper right.
</p>
<p>
<i>
The Neumann condition on the outflow is not working as expected,
so we have temporarily backtracked to using a Dirichlet outflow
condition there...
</i>
</p>
<p>
To run the problem directly, you only need the user-supplied routines
in <b>inout.f90</b>, the node data in <b>nodes6.txt</b>, and the
element data in <b>triangles6.txt</b>.
</p>
<p>
You compile and link the solver with <b>inout.f90</b>, using
commands like:
<pre>
gfortran fem2d_navier_stokes.f90 inout.f90
mv a.out channel
</pre>
and then run the program with the command
<pre>
./inout nodes6.txt triangles6.txt
</pre>
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this
web page are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/fem2d_navier_stokes/fem2d_navier_stokes.html">
FEM2D_NAVIER_STOKES</a>,
a FORTRAN90 program which
solves the 2D incompressible Navier-Stokes equations in an
arbitrary triangulated region.
In order to run, it requires
user-supplied routines that define problem data.
</p>
<p>
<a href = "../../f_src/fem2d_navier_stokes_cavity/fem2d_navier_stokes_cavity.html">
FEM2D_NAVIER_STOKES_CAVITY</a>,
a FORTRAN90 library which
contains the user-supplied routines necessary to run <b>fem2d_navier_stokes</b>
on the "cavity" problem.
</p>
<p>
<a href = "../../f_src/fem2d_navier_stokes_channel/fem2d_navier_stokes_channel.html">
FEM2D_NAVIER_STOKES_CHANNEL</a>,
a FORTRAN90 library which
contains the user-supplied routines necessary to run <b>fem2d_navier_stokes</b>
on the "channel" problem.
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "inout.f90">inout.f90</a>,
the user-supplied routines to evaluate the right hand side
and boundary conditions;
</li>
<li>
<a href = "inout.sh">inout.sh</a>,
commands to compile the user routines, link them with
the partial program, and run the program;
</li>
<li>
<a href = "inout_output.txt">inout_output.txt</a>,
output from a run of the program;
</li>
</ul>
</p>
<p>
The geometry is defined by sets of nodes and triangles.
The velocities use the full set of nodes,
and quadratic (6 node) triangles.
<ul>
<li>
<a href = "nodes6.txt">nodes6.txt</a>,
a text file containing the velocity nodes;
</li>
<li>
<a href = "nodes6.png">nodes6.png</a>,
a PNG image of
the velocity nodes;
</li>
<li>
<a href = "triangles6.txt">triangles6.txt</a>,
the quadratic triangulation;
</li>
<li>
<a href = "triangles6.png">triangles6.png</a>,
a PNG image of
the order 6 triangulation;
</li>
</ul>
</p>
<p>
The pressures are associated with a subset of the nodes
called "pressure nodes", and linear (3 node) triangles.
Note that, in the order 3 triangulation, the nodes are renumbered,
and do NOT inherit the labels used in the order 6 triangulation.
<ul>
<li>
<a href = "nodes3.txt">nodes3.txt</a>,
a text file containing the pressure nodes;
</li>
<li>
<a href = "nodes3.png">nodes3.png</a>,
a PNG image of
the pressure nodes;
</li>
<li>
<a href = "triangles3.txt">triangles3.txt</a>,
the linear triangulation;
</li>
<li>
<a href = "triangles3.png">triangles3.png</a>,
a PNG image of
the linear triangulation;
</li>
</ul>
</p>
<p>
The nonlinear Navier Stokes equations are solved, using
the Stokes solution as a starting point.
<ul>
<li>
<a href = "pressure3.txt">
pressure3.txt</a>,
a text file containing the Navier Stokes pressure P at each
pressure node;
</li>
<li>
<a href = "pressure3.png">
pressure3.png</a>,
a PNG image of
a contour plot of the Navier Stokes pressure, produced by
<a href =
"../../m_src/triangulation_order3_contour/triangulation_order3_contour.html">
TRIANGULATION_ORDER3_CONTOUR</a>.
</li>
<li>
<a href = "velocity6.txt">
velocity6.txt</a>,
a text file containing the Navier Stokes velocity (U,V)
at each velocity node;
</li>
<li>
<a href = "velocity6_dir.png">
velocity6_dir.png</a>,
a PNG image of
the Navier Stokes velocity direction field, created by
<a href = "../../f_src/vector_plot/vector_plot.html">
VECTOR_PLOT.</a>
</li>
<li>
<a href = "velocity6_vec.png">velocity6_vec.png</a>,
a PNG image of
the Navier Stokes velocity field, created by
<a href = "../../f_src/vector_plot/vector_plot.html">
VECTOR_PLOT.</a>
</li>
<li>
<a href = "velocity6_arrows.png">velocity6_arrows.png</a>,
a PNG image of the Navier Stokes velocity field, created by
<a href = "../../m_src/velocity_arrows/velocity_arrows.html">
VELOCITY_ARROWS.</a>
</li>
</ul>
</p>
<hr>
<i>
Last revised on 28 December 2010.
</i>
<!-- John Burkardt -->
</body>
</html>