BURGERS_SOLUTION
Exact Solution of Time Dependent 1D Viscous Burgers Equation
BURGERS_SOLUTION,
a Python library which
evaluates an exact solution of the timedependent 1D viscous Burgers equation.
The form of the Burgers equation considered here is:
du du d^2 u
 + u *  = nu * 
dt dx dx^2
for 1.0 < x < +1.0, and 0.0 < t.
Licensing:
The computer code and data files described and made available on this
web page are distributed under
the GNU LGPL license.
Languages:
BURGERS_SOLUTION 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:
BURGERS,
a dataset directory which
contains 40 solutions of the Burgers equation in one space dimension and time,
at equally spaced times from 0 to 1, with values
at 41 equally spaced nodes in [0,1];
Reference:

Claude Basdevant, Michel Deville, Pierre Haldenwang, J Lacroix,
J Ouazzani, Roger Peyret, Paolo Orlandi, Anthony Patera,
Spectral and finite difference solutions of the Burgers equation,
Computers and Fluids,
Volume 14, Number 1, 1986, pages 2341.
Source Code:

burgers_solution_test01.txt,
a data file of solution #1 values for 1 <= x <= +1,
0 <= t <= 3/pi, using 11 grid points in x and in t.

burgers_solution_test02.txt,
a data file of solution #1 values for 1 <= x <= +1,
0 <= t <= 3/pi, using 41 grid points in x and in t.

burgers_solution_test03.txt,
a data file of solution #2 values for 0 <= x <= 2 Pi,
0 <= t <= 1, using 11 grid points in x and in t.

burgers_solution_test04.txt,
a data file of solution #2 values for 0 <= x <= 2 Pi,
0 <= t <= 1, using 41 grid points in x and in t.
Last revised on 18 January 2020.