
Numerical Solution for the Ladyzhenskaya Equations (AGELADY) 



Tables
of Contents 


1) WHAT IS AGELADY 


2) HOW TO USE AGELADY 


3) MATLAB & FORTRAN FILES 

1) WHAT IS AGELADY: 

AGELADY is a FORTRAN77 program, using double precision arithmetic, which solves the Ladyzhenskaya equations in the streamfunctionvoricity version describing the flow of an incompressible fluid. 














where and









* If
we set the above equaton reduces to the streamfunction
equation of the NavierStokes equations. 



* This program uses the alternating Group Explict (AGE) Iterative method to solve a problem with known solution in the 2dimensional square [0,1]X[0,1]. 



* The program can solve the NavierStokes equations and the Smagorinsky model and the Biharmonic equation. 



* The program uses the GUI MATLAB as interface method to communicate friendly with the users. Also it uses all graphing utilities in MATLAB to visualize the solution of the problem. 



* Fig. 1 shows the first window of the program 





Fig. 1 



2) HOW TO USE AGELADY: 

Copy the AGELADY folder in your hard disk and within MATLAB command go to AGELADY folder and just type main the above window will be started. Then enter the parameters and press RUN. For the first time we recommend that you just press the RUN button and accept the parameters. 



3) MATLAB & FORTRAN FILES 
