navier_stokes_2d_exact
navier_stokes_2d_exact,
a Fortran77 code which
evaluates exact solutions to the incompressible time-dependent
Navier-Stokes Equations (NSE) over an arbitrary domain in 2D.
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Lukas: steady flow, pressure is zero everywhere;
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Spiral: velocity is zero on the boundary of the unit square;
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Taylor: source term is zero everywhere.
Licensing:
The information on this web page is distributed under the MIT license.
Languages:
navier_stokes_2d_exact is available in
a C version and
a C++ version and
a Fortran77 version and
a Fortran90 version and
a MATLAB version and
a Python version.
Related Data and Programs:
navier_stokes_2d_exact_test
f77_exact,
a Fortran77 code which
evaluates exact solutions to a few selected examples of
ordinary differential equations (ODE) and partial differential
equations (PDE).
Reference:
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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.
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Geoffrey Taylor,
On the decay of vortices in a viscous fluid,
Philosophical Magazine,
Volume 46, 1923, pages 671-674.
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Geoffrey Taylor, A E 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 26 October 2023.