English

High-order time stepping for the Navier-Stokes equations with minimal computational complexity

Numerical Analysis 2016-02-23 v1

Abstract

In this paper we present extensions of the schemes proposed in \cite{GM14} that lead to a decoupling of the velocity components in the momentum equation. The new schemes reduce the solution of the incompressible Navier-Stokes equations to a set of classical uncoupled parabolic problems for each Cartesian component of the velocity. The pressure is explicitly recovered after the velocity is computed.

Keywords

Cite

@article{arxiv.1602.06344,
  title  = {High-order time stepping for the Navier-Stokes equations with minimal computational complexity},
  author = {Jean-Luc Guermond and Peter Minev},
  journal= {arXiv preprint arXiv:1602.06344},
  year   = {2016}
}
R2 v1 2026-06-22T12:54:09.717Z