Numerical method for incompressible vortical flows with two unbounded directions (Q1375505)

A new method has been developed for computing unsteady, incompressible, viscous flows in a domain where two dimensions are unbounded, the third dimension is periodic, and the vorticity is rapidly decaying in the unbounded directions. We use the term unbounded to mean doubly infinite (no boundaries of any kind). The method has finite, but arbitrarily high order, formal accuracy, and incurs substantial additional cost for a given mesh. However, this increased cost is more than offset by the reduction in the number of mesh points required for a given accuracy.