[moustafa]

Now I am coding a Matlab code to solve a flow inside channel using the Choirn projection method.
First thing I specified boundary conditions on each boundary from the four boundaries and specified the initial condition (the velocities in the domain)
FIRSTLY , I solved for intermediate velocity from Discretized Navier Stokes equation in the x direction(Finite difference method) with the pressure term dropped.
after this point I do not now to proceed , how to solve for the pressures and velocities at the next time step.
I want to know how to proceed as I am stuck at this point ?
and How to specify Boundary conditions for pressures ?

[Eifoehn4]

Never heard of the method CoHIRN projection. Do you mean Chorin's projection instead?

Regards

[FMDenaro]

Originally Posted by moustafa

Now I am coding a Matlab code to solve a flow inside channel using the Cohirn projection method.
First thing I specified boundary conditions on each boundary from the four boundaries and specified the initial condition (the velocities in the domain)
FIRSTLY , I solved for intermediate velocity from Discretized Navier Stokes equation in the x direction(Finite difference method) with the pressure term dropped.
after this point I do not now to proceed , how to solve for the pressures and velocities at the next time step.
I want to know how to proceed as I am stuck at this point ?
and How to specify Boundary conditions for pressures ?

What textbook are you reading? Do you have the original Chorin’s paper?

[moustafa]

Originally Posted by FMDenaro

What textbook are you reading? Do you have the original Chorin’s paper?

I am not using a textbook , I use research papers in order to understand
if you recommend a textbook that explain this method for undergraduate level , I will be so grateful

[FMDenaro]

Originally Posted by moustafa

I am not using a textbook , I use research papers in order to understand
if you recommend a textbook that explain this method for undergraduate level , I will be so grateful

You can read Sec.7.2 here

https://www.springer.com/gp/book/9783319996912


and Sec. 12.4 in Charles Hirsch - Numerical Computation of Internal and External Flows. Elsevier 2007.


The original Chorin's method is described in his papers:
https://www.researchgate.net/publica...okes_Equations


https://www.researchgate.net/publica...okes_Equations


be aware that there are decades of study and proposals about this method.