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Katz & Zingale (2019, KZ19) recently studied a one-dimensional test problem,intended to mimic the process of detonation ignition in head-on collisions oftwo carbon--oxygen (CO) white dwarfs. They do not obtain ignition of adetonation in pure CO compositions unless the temperature is artificiallyincreased or 5% He is included. In both of these cases they obtain convergedignition only for spatial resolutions better than 0.1 km, which are beyond thecapability of multidimensional simulations. This is in a contradiction with theclaims of Kushnir et al. (2013, K13), that a convergence to $\sim10\%$ isachieved for a resolution of a few km. Using Eulerian and Lagrangian codes weshow that a converged and resolved ignition is obtained for pure CO in thistest problem without the need for He or increasing the temperature. The twocodes agree to within 1% and convergence is obtained at resolutions of severalkm. We calculate the case that includes He and obtain a similar slowconvergence, but find that it is due to a boundary numerical artifact that can(and should) be avoided. Correcting the boundary conditions allows convergencewith resolution of $\sim10\,\textrm{km}$ in an agreement with the claims ofK13. It is likely that the slow convergence obtained by KZ19 in this case isbecause of a similar boundary numerical artifact, but we are unable to verifythis. KZ19 further recommended to avoid the use of the burning limiterintroduced by K13. We show that their recommendation is not justified.

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