Global convergence strategies for a spectral-element space-time discontinuous-Galerkin discretization of the Navier Stokes–equations

ABSTRACT

This paper presents two global convergence strategies for a spectral-element, space-time discretisation of the Navier–Stokes equations. The first employs a hierarchical temporal mesh subdivision and polynomial order reduction to approximate the high-order solution. The second generalises Pseudo-Transient Continuation for steady problems to a space-time system.

KEYWORDS:

• Newton continuation methods
• space-time discretization

Acknowledgments

The first author acknowledges the support provided by the Oak Ridge Associated Universities via NASA's Postdoctoral Program.

Disclosure statement

No potential conflict of interest was reported by the authors.