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