Need help for calculation stream function from u and v velocities

way2sherin · July 4, 2024, 04:49

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, 04:53

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

way2sherin · July 4, 2024, 04:54

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

way2sherin · July 4, 2024, 04:56

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

FMDenaro · July 4, 2024, 12:59

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, 04:49	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, 04:53	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, 04:54	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, 04:56	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

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