inout, a FORTRAN77 code which computes the pressure and velocity for a flow governed by the time-dependent Navier Stokes Equations (NSE) in a square 1D region with an inlet and an outlet, by Hyung-Chun Lee.
As time increases, other flow parameters may be varied as well. For this code, the flow parameter that can vary is the magnitude of the inflow specified at the left boundary. The program stores the results of each timestep in a file. Each solution may be thought of as a "snapshot" of the gradual evolution of the flow field over time. In a typical run, 500 such files might be created.
A collection of snapshot files may be analyzed to seek a small underlying basis of fundamental flows. This basis may be used to approximate the entire set, or indeed to generate a reduced basis program that can quickly and cheaply compute new flow solutions whose flow parameters vary in small ways from those of the original set.
The "INOUT" region is contained in the unit square, [0,1] x [0,1]. There is an inlet on the left side, from [0,0] to [0,0.2], and an outlet on the right side, from [1,0.8] to [1.0,1.0].
+-----------------------+
|+----------------------+
|| --->
|| ----->
|| --->
|| ++
|| ||
|| ||
|| ||
|| ||
++ ||
---> ||
-----> ||
---> ||
+----------------------+|
+-----------------------+
There are 1,681 nodes in a 41 by 41 evenly spaced grid. The nodes
are organized into 800 6-node triangular elements
which are quadratic in velocity and linear in pressure.
Hyun-Chun Lee,
Ajou University, Korea,
in collaboration
with Max Gunzburger and John Burkardt.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
inout is available in a FORTRAN77 version.
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