With modern-day computers and several open-source CFD packages, it is today quite straightforward to simulate Newtonian flows. Even for turbulent flows, several well-tested and efficient algorithms are available, so that reasonably high-Re Newtonian turbulence can be simulated on a personal laptop. The situation is dramatically different for Non-Newtonian flows, however, and their accurate simulation, especially in turbulent settings, remains an outstanding challenge.