Periodic Boundary condition for Taylor Green Vortex problem

djr4cfd · May 24, 2019, 08:37

I am trying to write a Python program to simulate Taylor green test problem. It is mentioned in research article that I need to use 'periodic boundary' condition for the same. Can anyone explain to me, how I can implement periodic boundary condition??

Here is the doi of the article based on which I am trying to write the code.

https://doi.org/10.1016/j.jcp.2018.07.058

vesp · May 24, 2019, 09:48

Just consider how it should be done in 1D: copy the state from each end of the domain into a ghost state and compute as a standard boundary condition. Details on how to do that depend on the discretization, but the idea remains the same.

ulfu · May 24, 2019, 12:48

I would like to help, but I am note sure what your question is. The concept of a periodic boundary should be clear. So are you asking how to implement that in your code? What scheme as you programming?

djr4cfd · May 27, 2019, 07:12

Thank you Vesp. can u explain to me how periodic boundary condition is implimented in 1D?? or please suggest some literature that explains this.

djr4cfd · May 27, 2019, 07:20

Thank you Ulfu. I am trying to test my discretisation of a General pressure equation using Taylor Green vortex. This involves the discretisation of Navier stokes equations for momentum and an additional pressure equation as suggested in the literature. We have the analytical solution of NS for Taylor Green vortex problem, given in the literature. i.e. we have u(x,y,t), v(x,y,t) and P(x,y,t). For boundary conditions all that is mentioned is that it is periodic. As I am a beginner in CFD, I really dont know much about periodic BCs.

May 24, 2019, 08:37	Periodic Boundary condition for Taylor Green Vortex problem	#1
djr4cfd New Member djr4cfd Join Date: Jan 2018 Posts: 13 Rep Power: 8	I am trying to write a Python program to simulate Taylor green test problem. It is mentioned in research article that I need to use 'periodic boundary' condition for the same. Can anyone explain to me, how I can implement periodic boundary condition?? Here is the doi of the article based on which I am trying to write the code. https://doi.org/10.1016/j.jcp.2018.07.058

May 24, 2019, 09:48		#2
vesp Member Join Date: Aug 2018 Posts: 77 Rep Power: 8	Just consider how it should be done in 1D: copy the state from each end of the domain into a ghost state and compute as a standard boundary condition. Details on how to do that depend on the discretization, but the idea remains the same. djr4cfd likes this.

May 24, 2019, 12:48		#3
ulfu New Member Join Date: Apr 2019 Posts: 5 Rep Power: 7	I would like to help, but I am note sure what your question is. The concept of a periodic boundary should be clear. So are you asking how to implement that in your code? What scheme as you programming? djr4cfd likes this.

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May 27, 2019, 07:12		#4
djr4cfd New Member djr4cfd Join Date: Jan 2018 Posts: 13 Rep Power: 8	Thank you Vesp. can u explain to me how periodic boundary condition is implimented in 1D?? or please suggest some literature that explains this.

May 27, 2019, 07:20		#5
djr4cfd New Member djr4cfd Join Date: Jan 2018 Posts: 13 Rep Power: 8	Thank you Ulfu. I am trying to test my discretisation of a General pressure equation using Taylor Green vortex. This involves the discretisation of Navier stokes equations for momentum and an additional pressure equation as suggested in the literature. We have the analytical solution of NS for Taylor Green vortex problem, given in the literature. i.e. we have u(x,y,t), v(x,y,t) and P(x,y,t). For boundary conditions all that is mentioned is that it is periodic. As I am a beginner in CFD, I really dont know much about periodic BCs.