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Questions related to solving the advection-diffusion equation using numerical methods, including derivation and implementation of boundary conditions.

6
votes
Because the advection-diffusion equation is linear, there are many exact solutions. One reference with many exact solutions (including source terms) is M. Th. van Genuchten and W. J. Alves Analytica …
answered Jul 4 '13 by Brian Zatapatique
2
votes
A couple of points: Let me start by clearing up a persistent mistake relating to the stability condition of the FTCS method you are using. The correct stability condition, derived using the von Neum …
answered Nov 7 '16 by Brian Zatapatique
0
votes
Two comments. First, about implementing periodic boundary conditions. There are several ways to implement such boundary conditions. In my opinion, the easiest is to directly incorporate them into yo …
answered Oct 25 by Brian Zatapatique