arXiv Open Access 2013

A conservative discontinuous Galerkin scheme for the 2D incompressible Navier--Stokes equations

Lukas Einkemmer Matthias Wiesenberger

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Abstrak

In this paper we consider a conservative discretization of the two-dimensional incompressible Navier--Stokes equations. We propose an extension of Arakawa's classical finite difference scheme for fluid flow in the vorticity-stream function formulation to a high order discontinuous Galerkin approximation. In addition, we show numerical simulations that demonstrate the accuracy of the scheme and verify the conservation properties, which are essential for long time integration. Furthermore, we discuss the massively parallel implementation on graphic processing units.

Topik & Kata Kunci

physics.comp-ph math.NA physics.flu-dyn physics.plasm-ph

Penulis (2)

Lukas Einkemmer

Matthias Wiesenberger

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APA MLA BibTeX

Einkemmer, L., Wiesenberger, M. (2013). A conservative discontinuous Galerkin scheme for the 2D incompressible Navier--Stokes equations. https://arxiv.org/abs/1311.7477

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Informasi Jurnal

Tahun Terbit: 2013
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓