Format:
20
ISSN:
1090-2716
Content:
In this paper we consider discontinuous Galerkin (DG) methods for the incompressible Navier-Stokes equations in the framework of projection methods. In particular we employ symmetric interior penalty DG methods within the second-order rotational incremental pressure correction scheme. The major focus of the paper is threefold: i) We propose a modified upwind scheme based on the Vijayasundaram numerical flux that has favourable properties in the context of DG. ii) We present a novel postprocessing technique in the Helmholtz projection step based on H(div) reconstruction of the pressure correction that is computed locally, is a projection in the discrete setting and ensures that the projected velocity satisfies the discrete continuity equation exactly. As a consequence it also provides local mass conservation of the projected velocity. iii) Numerical results demonstrate the properties of the scheme for different polynomial degrees applied to two-dimensional problems with known solution as well as large-scale three-dimensional problems. In particular we address second-order convergence in time of the splitting scheme as well as its long-time stability.
Note:
Available online: 5 December 2017
,
Gesehen am 21.04.2020
In:
Journal of computational physics, Amsterdam : Elsevier, 1961, 356(2018), Seite 220-239, 1090-2716
In:
volume:356
In:
year:2018
In:
pages:220-239
In:
extent:20
Language:
English
DOI:
10.1016/j.jcp.2017.11.035
URL:
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