Lid driven cavity problem

thegodfather · December 2, 2012, 00:59

I'm trying to develop a finite volume stream function vorticity based solver for a lid driven cavity problem.. I want to use first order upwind scheme for discretization of the advection term... But to use it, the direction of velocities at all cell faces are to be known before hand... How do I incorporate this in my code? Plus, how do I determine the values of velocities at cell faces from cell centre velocities? Is it ok to do linear interpolation for that?

FMDenaro · December 2, 2012, 05:37

you can use linear interpolation, for example for a generic transport equation, the flux component along x writes

u_face_west = 0.5*(u(i-1,j)+u(i,j))
u_plus = 0.5*(u_face+|u_face|)
u_minus = 0.5*(u_face-|u_face|)
flux_west = u_plus*Phi(i-1,j) + u_minus*Phi(i,j)

December 2, 2012, 00:59	Lid driven cavity problem	#1
thegodfather New Member Aniket Sachdeva Join Date: Mar 2012 Posts: 22 Rep Power: 14	I'm trying to develop a finite volume stream function vorticity based solver for a lid driven cavity problem.. I want to use first order upwind scheme for discretization of the advection term... But to use it, the direction of velocities at all cell faces are to be known before hand... How do I incorporate this in my code? Plus, how do I determine the values of velocities at cell faces from cell centre velocities? Is it ok to do linear interpolation for that?

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
Lid Driven Cavity 3D	Mathias Krause	Main CFD Forum	5	October 17, 2006 07:34
lid driven cavity	perumal	Main CFD Forum	0	August 31, 2006 02:13
lid driven cavity	ani	Main CFD Forum	3	April 2, 2006 14:27
2D Driven square cavity problem	rvndr	Main CFD Forum	6	February 25, 2004 11:35
Driven cavity problem	Mukhopadhyay	Main CFD Forum	4	May 26, 2001 06:22

December 2, 2012, 05:37		#2
FMDenaro Senior Member Filippo Maria Denaro Join Date: Jul 2010 Posts: 6,897 Rep Power: 73	you can use linear interpolation, for example for a generic transport equation, the flux component along x writes u_face_west = 0.5(u(i-1,j)+u(i,j)) u_plus = 0.5(u_face+\|u_face\|) u_minus = 0.5(u_face-\|u_face\|) flux_west = u_plusPhi(i-1,j) + u_minus*Phi(i,j)