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THE ALTERNATING GROUP EXPLICIT (AGE) ITERATIVE METHOD FOR SOLVING A LADYZHENSKAYA AND NAVIER-STOKES EQUATIONS FOR STATIONARY INCOMPRESSIBLE VISCOUS FLOW Dr. Faisal A. Fairag, Assistant Professor, Math. Sciences |
ABSTRACT
In this
project, the alternating group explicit (AGE) iterative method is applied to a
nonlinear 4th order
PDE describing the flow of an incompressible fluid. This equation is a
Ladyzhenskaya equation. The AGE method is
shown to be extremely powerful and flexible and affords its users many
advantages. Computational results are obtained
to demonstrate the applicability of the method on some problems with known
solutions. This research demonstrates
that the (AGE) method can be implemented to approximate efficiently solutions to
the Navier-Stokes equations and
the Ladyzhenskaya equations. Problems with a known solution are considered to
test the method and to compare
the computed results with the exact values. Streamfunction contours and some
plots are displayed showing the main
features of the solution.
MATLAB & FORTRAN CODES
AGELADY: |
AGELADY: is a FORTRAN77 program, using double precision arithmetic, which solves the Ladyzhenskaya equations in the pure streamfunction version using the AGE Method. More information about the program can be found here