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

2016/02/19 by Guermond, Jean-Luc, Minev, Peter
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1602.06344

Abstract

In this paper we present extensions of the schemes proposed in \citeGM14 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.

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