SHALLOW_WATER_1D
The Shallow Water Equations in 1D

SHALLOW_WATER_1D is a FORTRAN90 program which simulates a system governed by the shallow water equations in 1D.

Licensing:

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

Languages:

SHALLOW_WATER_1D is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.

Related Data and Programs:

SHALLOW_WATER_1D_DISPLAY, a MATLAB program which can display a solution of the shallow water equations in 1D, generally as computed by the program shallow_water_1d.

SHALLOW_WATER_2D, a MATLAB program which solves the 2D shallow water equations.

Reference:

1. Cleve Moler,
   Experiments with MATLAB,
   http://www.mathworks.com/moler/exm/index.html

Source Code:

• shallow_water_1d.f90, the source code.

Examples and Tests:

The program was run with the default settings.

• shallow_water_1d.txt, the output file.
• test01_h.txt, the H file.
• test01_t.txt, the T file.
• test01_uh.txt, the UH file.
• test01_x.txt, the X file.

List of Routines:

• MAIN is the main program for SHALLOW_WATER_1D.
• INITIAL_CONDITIONS sets the initial conditions.
• CH_CAP capitalizes a single character.
• CH_EQI is a case insensitive comparison of two characters for equality.
• CH_TO_DIGIT returns the integer value of a base 10 digit.
• GET_UNIT returns a free FORTRAN unit number.
• INITIAL_CONDITIONS sets the initial conditions.
• R8MAT_WRITE writes an R8MAT file.
• R8VEC_LINSPACE creates a vector of linearly spaced values.
• R8VEC_WRITE writes an R8VEC file.
• S_TO_I4 reads an I4 from a string.
• S_TO_R8 reads an R8 from a string.
• TIMESTAMP prints the current YMDHMS date as a time stamp.

You can go up one level to the FORTRAN90 source codes.