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TOMS866 - IFISS - Incompressible Flow Iterative Solution Software
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TOMS866 <br> IFISS - Incompressible Flow Iterative Solution Software
</h1>
<hr>
<p>
<b>TOMS866</b>
is a MATLAB library which
contains the IFISS program, which is software that can model the
steady (time-independent) flow of a 2D incompressible fluid.
</p>
<p>
The library includes algorithms for discretization by mixed finite element
methods and for a posteriori error estimation of the computed solution.
</p>
<p>
The most recent version of the software may be found by going to
<a href = "http://www.maths.manchester.ac.uk/~djs/ifiss/">
http://www.maths.manchester.ac.uk/~djs/ifiss/ </a>
</p>
<p>
The text of many ACM TOMS algorithms is available online
through ACM:
<a href = "http://www.acm.org/pubs/calgo/">
http://www.acm.org/pubs/calgo</a>
or NETLIB:
<a href = "http://www.netlib.org/toms/index.html">
http://www.netlib.org/toms/index.html</a>.
</p>
<p>
The four classes of problems that can be solved by this code are identified
by an alphabetic code:
<ul>
<li>
<b>P</b>, the Poisson or diffusion equation;
</li>
<li>
<b>CD</b>, the convection/diffusion equation;
</li>
<li>
<b>S</b>, the Stokes equations;
</li>
<li>
<b>NS</b>, the Navier Stokes equation;
</li>
</ul>
</p>
<p>
There are four predefined example problems for the Poisson or diffusion equation:
<ul>
<li>
<b>P1</b>, diffusion in a square plate;
</li>
<li>
<b>P2</b>, diffusion in an L-shaped region;
</li>
<li>
<b>P3</b>, diffusion in the square, with an exact analytic solution;
</li>
<li>
<b>P4</b>, diffusion in an L-shaped region with an exact analytic solution;
</li>
</ul>
</p>
<p>
There are four predefined example problems for the convection/diffusion equation.
All problems are posed on a square domain with a convective velocity of order 1:
<ul>
<li>
<b>CD1</b>, constant convective velocity (0,1), with an exponential
boundary layer;
</li>
<li>
<b>CD2</b>, convective velocity (0,1+(x+1)^2/4); characteristic boundary layers.
</li>
<li>
<b>CD3</b>, convective velocity (-sin(pi/6),cos(pi/6)), with a solution
discontinuity that is smeared by viscosity;
</li>
<li>
<b>CD4</b>, a simple model for temperature diffusion in a cavity;
</li>
</ul>
</p>
<p>
The four predefined Stokes problems:
<ul>
<li>
<b>S1</b>, steady horizontal channel flow, (Poiseuille flow);
</li>
<li>
<b>S2</b>, slow flow in a rectangular duct with sudden expansion,
flow over a step;
</li>
<li>
<b>S3</b>, driven cavity flow;
</li>
<li>
<b>S4</b>, colliding flow;
</li>
</ul>
</p>
<p>
The four predefined Navier-Stokes problems:
<ul>
<li>
<b>S1</b>, steady horizontal channel flow, (Poiseuille flow);
</li>
<li>
<b>S2</b>, slow flow in a rectangular duct with sudden expansion,
flow over a step;
</li>
<li>
<b>S3</b>, driven cavity flow, with a choice of leaky, watertight
or regularized boundary conditions;
</li>
<li>
<b>S4</b>, boundary layer flow over a flat plate, (Blasius flow);
</li>
</ul>
</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/arby4/arby4.html">
ARBY4</a>,
a FORTRAN90 program which
analyzes a 2D fluid flow using the reduced basis method.
This is version 4 of a program which had 4 versions.
</p>
<p>
<a href = "../../f_src/bump/bump.html">
BUMP</a>,
a FORTRAN90 program which
solves a fluid flow problem
in a 2D channel including a bump which obstructs and redirects the flow.
</p>
<p>
<a href = "../../f_src/channel/channel.html">
CHANNEL</a>,
a FORTRAN90 program which
solves a fluid flow problem in a channel.
</p>
<p>
<a href = "../../py_src/dolfin/dolfin.html">
DOLFIN</a>,
PYTHON scripts which
are used with the DOLFIN library to set up and solve
a wide variety of problems using the finite element method.
</p>
<p>
<a href = "../../f77_src/inout/inout.html">
INOUT</a>,
a FORTRAN77 program which
computes the pressure and velocity for a Navier Stokes flow in a
square 1D region with an inlet and an outlet.
</p>
<p>
<a href = "../../f_src/mhd_flow/mhd_flow.html">
MHD_FLOW</a>,
a FORTRAN90 program which
simulates the evolution of a system governed by the equations for 2D
magnetohydrodynamics.
</p>
<p>
<a href = "../../cpp_src/nast2d/nast2d.html">
NAST2D</a>,
a C++ program which
solves the 2D Navier Stokes fluid flow equations
</p>
<p>
<a href = "../../m_src/ns3d_fem/ns3d_fem.html">
NS3D_FEM</a>,
a MATLAB program which
sets up and solves a finite element formulation of the steady
incompressible 3D Navier Stokes equations on a user-defined geometry.
The program can output graphics files for TECPLOT, VU or the VTK format
used by PARAVIEW.
</p>
<p>
<a href = "../../datasets/tcell_flow/tcell_flow.html">
TCELL_FLOW</a>,
a dataset directory which
contains 500 time steps of Navier-Stokes flow in a 2D "T"-shaped region.
</p>
<h3 align = "center">
Author:
</h3>
<p>
<ul>
<li>
Howard Elman,<br>
Department of Computer Science,<br>
University of Maryland,<br>
College Park, Maryland 20742,<br>
USA,<br>
elman@cs.umd.edu
</li>
<li>
Alison Ramage,<br>
Department of Mathematics,<br>
University of Strathclyde,<br>
26 Richmond Street,<br>
Glasgow G1 1XH,<br>
United Kingdom,<br>
a.ramage@strath.ac.uk
</li>
<li>
David Silvester,<br>
School of Mathematics,<br>
University of Manchester,<br>
Sackville Street,<br>
Manchester M60 1QD,<br>
United Kingdom,<br>
na.silvester@na-net.ornl.gov
</li>
</ul>
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Howard Elman, Alison Ramage, David Silvester,<br>
Finite Elements and Fast Iterative Solvers with
Applications in Incompressible Fluid Dynamics,<br>
Oxford, 2005,<br>
ISBN: 978-0198528678,<br>
LC: QA911.E39.
</li>
<li>
Howard Elman, Alison Ramage, David Silvester,<br>
Algorithm 866: IFISS, A Matlab Toolbox for Modelling Incompressible Flow,<br>
ACM Transactions on Mathematical Software,<br>
Volume 33, Number 2, June 2007.
</li>
<li>
Howard Elman, Alison Ramage, David Silvester,<br>
Incompressible Flow Iterative Solution Software (IFISS),
Installation and Software Guide,<br>
<a href = "http://www.maths.manchester.ac.uk/~djs/ifiss//ifiss_guide_3.0.pdf">
http://www.maths.manchester.ac.uk/~djs/ifiss//ifiss_guide_3.0.pdf</a>.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "activemode.m">activemode.m</a>,
turns off batch processing for IFISS.
</li>
<li>
<a href = "batchmode.m">batchmode.m</a>,
enables batch processing for IFISS test problems. The command
<b>batchmode('P2')</b> uses the file <b>diffusion/test_problems/P2_batch.m</b>
to generate and solve the second test problem for the Poisson (diffusion)
equation.
</li>
<li>
<a href = "default.m">default.m</a>,
gets response to IFISS prompt.
</li>
<li>
<a href = "gohome.m">gohome.m</a>,
positions command prompt at top level directory.
</li>
<li>
<a href = "helpme.m">helpme.m</a>,
IFISS interactive help facility.
</li>
<li>
<a href = "ifiss.m">ifiss.m</a>,
returns IFISS version number.
</li>
<li>
<a href = "install_pc.m">install_pc.m</a>,
sets up IFISS on non-UNIX computer.
</li>
<li>
<a href = "install_unix.m">install_unix.m</a>,
sets up IFISS on UNIX computer
</li>
<li>
<a href = "readme.m">readme.m</a>,
contains information to be read by the user.
</li>
<li>
<a href = "setpath.m">setpath.m</a>,
sets the IFISS search path.
</li>
</ul>
</p>
<h3 align = "center">
Subdirectories:
</h3>
<p>
<ul>
<li>
<a href = "batchfiles/batchfiles.html">batchfiles</a>,
example files for solving problems in batch mode.
</li>
<li>
<a href = "convection/convection.html">convection</a>,
for the convection-diffusion equation.
</li>
<li>
<a href = "datafiles/datafiles.html">datafiles</a>,
a directory for storing intermediate data.
Programs run with the <b>batchmode</b> command, for instance,
will store their results here.
</li>
<li>
<a href = "diffusion/diffusion.html">diffusion</a>,
for the Poisson equation.
</li>
<li>
<a href = "graphs/graphs.html">graphs</a>,
functions that visualize the computed solutions.
</li>
<li>
<a href = "grids/grids.html">grids</a>,
functions associated with the domain geometry and grid generation.
</li>
<li>
<a href = "matlab704/matlab704.html">matlab704</a>,
patched versions of four MATLAB 7.0.4 functions.
</li>
<li>
<a href = "navier_flow/navier_flow.html">navier_flow</a>,
for the Navier-Stokes equations.
</li>
<li>
<a href = "plotfiles/plotfiles.html">plotfiles</a>,
a directory for storying intermediate data for plotting.
</li>
<li>
<a href = "solvers/solvers.html">solvers</a>,
specialized fast iterative solvers.
</li>
<li>
<a href = "specific_files/specific_files.html">specific_files</a>,
functions which set up specific examples from the reference.
</li>
<li>
<a href = "stokes_flow/stokes_flow.html">stokes_flow</a>,
for the Stokes equations.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../m_src.html">
the MATLAB source codes</a>.
</p>
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<i>
Last modified on 25 September 2009.
</i>
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