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  • $\begingroup$ Thank you so much for your extremely detailed and clear answer! I have decided to go with this approach. Besides your answer on modeling jump conditions in interphase mass transfer, do you recommend other resources for understanding and learning how to implement the quad mesh? $\endgroup$ Commented Aug 3, 2020 at 19:49
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    $\begingroup$ @Jan I have used the anisotropic quad meshing on many occasions. It is not necessarily trivial to implement, but it can solve many problems that are a result of the mesh and not the equations. My main inspiration came from this RegionProduct Example of a Tensor Grid. If you can construct a valid Region, then many of the typical meshing problems (e.g., duplicate vertices and node ordering go away). Would it help to append my answer with some links to where I have used quad meshing? $\endgroup$ Commented Aug 3, 2020 at 22:41
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    $\begingroup$ @Jan I added some examples of quad meshing. $\endgroup$ Commented Aug 4, 2020 at 4:01
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    $\begingroup$ @Jan Generally, that error is a result of the ordering of the temporal and spatial variables either in the dependent variable, c[t,r,z], or the ordering of the domain specification. To be consistent with the documented examples, I always use temporal, spatial list like $NDSolveValue[{op == 0, \Gamma in, ic}, c\begin{bmatrix} {\color{Red} t},{\color{Blue} r,z} \end{bmatrix}, \begin{Bmatrix} {{\color{Red} t}, 0, tend} \end{Bmatrix}, \begin{Bmatrix} {\color{Blue} r, z} \end{Bmatrix} \epsilon \ mesh]$. If this doesn't help, you could pose a new question. $\endgroup$ Commented Aug 6, 2020 at 0:59
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    $\begingroup$ @Jan I will look at it tonight or tomorrow and see if I can help. $\endgroup$ Commented Aug 7, 2020 at 0:45