This is a scientific web page about the two-dimensional steady incompressible flow in a driven cavity. The steady incompressible 2-D Navier-Stokes equations are solved numerically. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. This is a scientific web page about the two-dimensional steady incompressible flow in a driven cavity. The steady incompressible 2-D Navier-Stokes equations are solved numerically. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations.

 

Downloads : Numerical Solutions & Codes

 

Many researchers have contacted me and requested the Fortran codes I have used in my researches. Click on the link below to goto download page for the Fortran codes that I wrote. Those Fortran codes solve the 2-D steady incompressible driven cavity flow problem using different numerical approaches. I have added many comments into the codes for easy understanding.
 


  FORTRAN CODES FOR DRIVEN CAVITY FLOW  
                            (Left Click, Goto Download Page)
 

Below you will find the fortran code I have used this study (Study 4) for the triangular driven cavity flow that uses Successive Over Relaxation (SOR) method which is most probably the simplest and most easy to code numerical method. In this code at every 25000 iterations, the solution is written to a data file and also the residuals (error parameters) defined in the manuscript are written to an other data file in order to have an idea about the convergence level of the solution.

 


  FORTRAN CODE FOR TRIANGULAR CAVITY FLOW  
                            (Left Click, Download On Next Page)
 

Below you will find my numerical solution datas for 2-D steady incompressible triangular cavity flow at various Reynolds numbers with various triangle geometries, obtained by solving the 2-D steady Navier-Stokes equations in streamfunction and vorticity formulation using Successive Over Relaxation (SOR) numerical method. In these solutions, the number of grids used is 513´513. The data files are binary. Use the fortran code at the bottom to read the binary files and also to check the accuracy of the solution. These numerical solutions satisfy the steady incompressible streamfunction and vorticity equations with very very low residuals.

Email me if you need any help with these fortran codes or data files or if you have any comments or suggestions. Please acknowledge this web site if you use these files in your studies.

 

The data files below are for triangle cavity with corner points :

  ,    ,    ,    ,  
DATA FILES
(Left Click, Download On Next Page)
Re=1 Re=50 Re=100
Re=200 Re=350 Re=500
Re=750 Re=1,000 Re=1,250
 
Re=1,500 Re=1,750  
Use the fortran code at the bottom to read the binary files
and also to check the accuracy of the solution.

 

The data files below are for triangle cavity with corner points :

  ,    ,    ,    ,  
DATA FILES
(Left Click, Download On Next Page)
Re=0 Re=12,5 Re=25
 
Re=100 Re=200  
Use the fortran code at the bottom to read the binary files
and also to check the accuracy of the solution.

 

The data files below are for triangle cavity with corner points :

  ,    ,    ,    ,  
DATA FILES
(Left Click, Download On Next Page)
θ=20° θ=30° θ=40°
θ=50° θ=60° θ=70°
 
θ=80° θ=90°  
Use the fortran code at the bottom to read the binary files
and also to check the accuracy of the solution.

 

The data files below are for triangle cavity with corner points :

  ,    ,    ,    ,  
DATA FILES
(Left Click, Download On Next Page)
Re=100 Re=500 Re=1,000
Re=2,500 Re=5,000 Re=7,500
Use the fortran code at the bottom to read the binary files
and also to check the accuracy of the solution.

 

The data files below are for triangle cavity with corner points :

  ,    ,    ,    ,  
DATA FILES
(Left Click, Download On Next Page)
Re=100 Re=500 Re=1,000
Re=1,500 Re=2,000 Re=2,500
Use the fortran code at the bottom to read the binary files
and also to check the accuracy of the solution.

 


  FORTRAN CODE FOR DATA FILES   (use this code to read the binary data files) 
               (Left Click, Download On Next Page)
 

I have been contacted by many researchers asking for an executable program to read the binary files. If you do not have a fortran compiler, you can use the following compiled executable code on a windows machine. This code will particularly read the binary files in this web page only, and write into an output ASCI file. Download and save the binary files and the executable code in the same directory on your computer, then run the code.


  EXECUTABLE CODE FOR DATA FILES   (use this code to read the binary data files) 
               (Left Click, Download On Next Page)
 


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