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Periodic Boundary Condition for upwind differenceHi,
I am solving 2D compressible inviscid flow by forward difference for time and upwind difference for space. I must also impose periodic boundary condition. But how should I treat the condition? Tentatively, I imposed following one-sided difference, f_0 = f_N+1 (-3f_0 + 4f_1 - f_2)/dx = (f_N-1 - 4f_N + 3f_N+1)/dx This condition gets along for a certain initial profile, such as homogeneous temperature. Otherwise, it diverges near downwind boundary ( j ~ 8 calculating j = 1 to 100 ). What is correct periodic boundary condition for upwind difference method? Thanks in advance. |

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