Abstract

In this paper we present new multigrid line smoothers for the solution of higher order discretizations of convection-dominated problems directly. The behavior of the smoothers is analyzed theoretically with Fourier smoothing and two-grid analysis. A parallel tri-line variant is presented and evaluated. The smoothers are applied to scalar convection-diffusion problems, discretized with limiters and systems of incompressible Navier–Stokes and Euler equations.

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