Computational Fluid Dynamics

Computational fluid dynamics solves the equations of motion of a fluid numerically, and most of the difficulty lies in the fact that the interesting regimes are the ones where the nonlinearity dominates. The choices that matter are the discretisation, the treatment of the stiff linear part, and the dealiasing, since each decides which structures the simulation is capable of representing. Writing here covers pseudospectral Navier-Stokes solvers, where spectral accuracy is available and the cost is paid in geometry and in memory bandwidth.