periodic boundary conditions with a gradient term -- CFD Online Discussion Forums

March 6, 2013, 04:11	periodic boundary conditions with a gradient term	#1
Hooman Senior Member Join Date: Jun 2010 Posts: 111 Rep Power: 15	Hi, I have been trying to implement periodic bc's in my 1D code, I have a gradient term in my code, which I have discretized by using central differencing, so I have du/dx = (u_i+1 - u_i)/(x_i+1 - x_i) so for a periodic bc at the left and right boundaries I have used du/dx = (u_1 - u_N)/(x_1 - x_N) where N is the final cell, but for some reason I get weird results at the boundaries. Could someone please confirm that what I am doing it correct. Thanks!

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