CHANNEL
Finite Element Model of 2D Channel Flow


CHANNEL is a FORTRAN77 program which computes the time-independent flow of a viscous incompressible fluid in a 2D channel. The strength of the flow at the inlet is determined by a parameter. The desired flow profile along a line downstream is given. The task is to determine the inflow parameter that generates a flow that minimizes the difference with the given profile data.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

CHANNEL is available in a FORTRAN77 version and a FORTRAN90 version.

Related Data and Programs:

BUMP, a FORTRAN90 program which solves a fluid flow problem in a channel including a bump which obstructs and redirects the flow.

FEM1D, a FORTRAN77 program which applies the finite element method, with piecewise linear basis functions, to a two point boundary value problem;

FLOW3, a FORTRAN90 program which solves steady incompressible Navier Stokes equations in 2D using the finite element method.

FLOW5, a FORTRAN90 program which solves steady incompressible Navier Stokes equations in 2D using the finite element method.

HCELL, a FORTRAN77 program which computes the pressure and velocity for a Navier Stokes flow in an "H"-shaped region.

INOUT, a FORTRAN77 program which computes the pressure and velocity for a Navier Stokes flow in a square region with an inlet and an outlet.

MHD_CONTROL, a FORTRAN90 program which tries to control the evolution of an MHD system so that a particular state is achieved.

MHD_FLOW, a FORTRAN90 program for the evolution of an MHD system.

NAST2D, a C++ program which computes the pressure and velocity for a Navier Stokes flow.

NAST2D_F90, a FORTRAN90 program which computes the pressure and velocity for a Navier Stokes flow.

NSASM, a C library, intended to be used with a MATLAB calling program, and which set up the sparse matrix needed for a Newton iteration to solve a finite element formulation of the steady incompressible 2D Navier Stokes equations.

TCELL, a FORTRAN77 program which computes the pressure and velocity for a Navier Stokes flow in a "T"-shaped region.

Reference:

  1. Max Gunzburger,
    Finite Element Methods for Viscous Incompressible Flows,
    A Guide to Theory, Practice, and Algorithms,
    Academic Press, 1989,
    ISBN: 0-12-307350-2,
    LC: TA357.G86.

Source Code:

Examples and Tests:

The program writes out "XY" (node coordinate) and "UV" (velocity component) data files for the optimized solution.

List of Routines:

You can go up one level to the FORTRAN77 source codes.


Last revised on 02 December 2006.