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Nov 5, 2023 at 21:59 comment added Vladimir F Героям слава That is true, but the first sentence of the first paragraph is formulated in an absolute way ("in any application that I know of"). BTW, CN is also one of the few twmporal schemes offered by OpenFOAM (together with backward Euler and BDF2).
Nov 3, 2023 at 3:08 comment added Philip Roe @Vladimir The question was about pure advection.
Mar 24, 2023 at 10:24 comment added Vladimir F Героям слава The Crank-Nicolson method is actually one of the two second-order temporal schemes offered by OpenFOAM for Navier-Stokes equations. The other is BDF2. For diffusion problems Crank-Nicolson is still quite popular. It used to be used in a combination with Adams-Bashforth and now more typically with Runge-Kutta. In such a combination CN solves the implicit diffusive part.
May 28, 2021 at 22:14 history edited Philip Roe CC BY-SA 4.0
corrected typo in equation
May 27, 2021 at 23:46 history answered Philip Roe CC BY-SA 4.0