Three-dimensional simulations of tornado-like vortices are presented. The simulations are from a numerical model of the incompressible Navier-Stokes equations, with a Reynolds number, based on scales of the entire recirculating updraft, of up to 4.0 × 10 4 . In a companion axisymmetric model, the theory for the corner flow swirl ratio provides an excellent prediction of the results. For the three-dimensional nonaxisymmetric model, the corner flow swirl ratio is not easily applied a priori, but nonetheless provides a framework for identifying a consistent departure of the three-dimensional simulations from the axisymmetric simulations.