navier_stokes_2d_exact


navier_stokes_2d_exact, an Octave code which evaluates exact solutions to the incompressible time-dependent Navier-Stokes equations (NSE) over an arbitrary domain in 2D.

Licensing:

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

Languages:

navier_stokes_2d_exact is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

navier_stokes_2d_exact_test

navier_stokes_3d_exact, an Octave code which evaluates exact solutions to the incompressible time-dependent Navier-Stokes equations (NSE) over an arbitrary domain in 3D.

spiral_data, an Octave code which computes a velocity vector field that satisfies the continuity equation, writing the data to a file that can be plotted by gnuplot.

stokes_2d_exact, an Octave code which evaluates exact solutions to the incompressible steady Stokes equations over the unit square in 2D.

Reference:

  1. Jean-Luc Guermand, Peter Minev, Jie Shen,
    An overview of projection methods for incompressible flows,
    Computer methods in applied mechanics and engineering,
    Volume 105, pages 6011-6045, 2006.
  2. Xiaoli Li, Jie Shen,
    Error analysis of the SAC-MAC scheme for the Navier-Stokes equations,
    arXiv:1909.05131v1 [math.NA] 8 Sep 2019
  3. Maxim Olshanskii, Leo Rebholz,
    Application of barycenter refined meshes in linear elasticity and incompressible fluid dynamics,
    ETNA: Electronic Transactions in Numerical Analysis,
    Volume 38, pages 258-274, 2011.
  4. Tien-Mo Shih, C H Tan, B C Hwang,
    Effects of grid staggering on numerical schemes,
    International Journal for Numerical Methods of Fluids,
    Volume 9, Number 2, pages 193-212, February 1989.
  5. Geoffrey Taylor,
    On the decay of vortices in a viscous fluid,
    Philosophical Magazine,
    Volume 46, 1923, pages 671-674.
  6. Geoffrey Taylor, Albert Green,
    Mechanism for the production of small eddies from large ones,
    Proceedings of the Royal Society of London,
    Series A, Volume 158, 1937, pages 499-521.

Source Code:


Last revised on 27 August 2020.