Need help for calculation stream function from u and v velocities

way2sherin · July 4, 2024, 03:49

Hello friends, I am new to CFD, and I am trying to solve the De Vahl Davis paper on natural convection of air in a square cavity, a benchmark numerical solution. I am solving this using numerical methods by solving u,v momentum equations, then solving the energy balance equation using the SIMPLE algorithm on Fortran. I got the solutions for every value of Ra, Pr for u, v, and T. Now the problem I am facing is finding the stream function and vorticity using the solutions I got. I tried discretizing the given stream function vorticity equation, but I am not getting the desired results.
What I get is a combination of graphs of u and v. I will be grateful if anyone can help me.

way2sherin · July 4, 2024, 03:53

https://drive.google.com/file/d/183f...usp=drive_link

way2sherin · July 4, 2024, 03:54

https://drive.google.com/file/d/1Y8l...usp=drive_link

way2sherin · July 4, 2024, 03:56

https://drive.google.com/file/d/12-i...usp=drive_link

FMDenaro · July 4, 2024, 11:59

Quote:

Originally Posted by way2sherin

Hello friends, I am new to CFD, and I am trying to solve the De Vahl Davis paper on natural convection of air in a square cavity, a benchmark numerical solution. I am solving this using numerical methods by solving u,v momentum equations, then solving the energy balance equation using the SIMPLE algorithm on Fortran. I got the solutions for every value of Ra, Pr for u, v, and T. Now the problem I am facing is finding the stream function and vorticity using the solutions I got. I tried discretizing the given stream function vorticity equation, but I am not getting the desired results.
What I get is a combination of graphs of u and v. I will be grateful if anyone can help me.

In order to get the stream function field, solve the Poisson equation with homogeneous BCs.

July 4, 2024, 03:49	Need help for calculation stream function from u and v velocities	#1
way2sherin New Member Sherin Join Date: Jul 2024 Posts: 4 Rep Power: 2	Hello friends, I am new to CFD, and I am trying to solve the De Vahl Davis paper on natural convection of air in a square cavity, a benchmark numerical solution. I am solving this using numerical methods by solving u,v momentum equations, then solving the energy balance equation using the SIMPLE algorithm on Fortran. I got the solutions for every value of Ra, Pr for u, v, and T. Now the problem I am facing is finding the stream function and vorticity using the solutions I got. I tried discretizing the given stream function vorticity equation, but I am not getting the desired results. What I get is a combination of graphs of u and v. I will be grateful if anyone can help me.

July 4, 2024, 03:53	Original result	#2
way2sherin New Member Sherin Join Date: Jul 2024 Posts: 4 Rep Power: 2	https://drive.google.com/file/d/183f...usp=drive_link

July 4, 2024, 03:54	My result	#3
way2sherin New Member Sherin Join Date: Jul 2024 Posts: 4 Rep Power: 2	https://drive.google.com/file/d/1Y8l...usp=drive_link

July 4, 2024, 03:56	Equation	#4
way2sherin New Member Sherin Join Date: Jul 2024 Posts: 4 Rep Power: 2	https://drive.google.com/file/d/12-i...usp=drive_link

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
[mesh manipulation] refineMesh Error	mohsen.boojari	OpenFOAM Meshing & Mesh Conversion	3	March 1, 2018 22:07
[snappyHexMesh] How to define to right point for locationInMesh	Mirage12	OpenFOAM Meshing & Mesh Conversion	7	March 13, 2016 14:07
[swak4Foam] installation problem with version 0.2.3	Claudio87	OpenFOAM Community Contributions	9	May 8, 2013 10:20
Version 15 on Mac OS X	gschaider	OpenFOAM Installation	113	December 2, 2009 10:23
Problem with rhoSimpleFoam	matteo_gautero	OpenFOAM Running, Solving & CFD	0	February 28, 2008 06:51