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Main Title: Numerical comparison of hybridized discontinuous Galerkin and finite volume methods for incompressible flow
Author(s): Ahnert, Tobias
Bärwolff, Günter
Type: Research Paper
Abstract: A numerical comparison of a hybridizable discontinuous Galerkin method proposed by Nguyen et al. and the well established finite volume method of second order in space represented by the icoFoam and simpleFoam solver of OpenFOAM is given. The hybridizable discontinuous Galerkin method has been reformulated as Picard iteration, hybridized and implemented from scratch. The methods are introduced and four numerical standard simulations are used in order to benchmark and evaluate the solver - the Taylor-Green vortex, the 180 degrees fence case as well as a two-dimensional stationary and non-stationary DFG benchmark. The numerical examples suggests hybridized discontinuous Galerkin methods are a competitive alternative to finite volume solvers for incompressible fluid simulations due to high accuracy and better stability properties.
Subject(s): discontinuous Galerkin method
finite volume method
incompressible Navier-Stokes equations
DFG benchmark
implicit Euler
Issue Date: 19-Mar-2013
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 65M12 Stability and convergence of numerical methods
65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2013, 08
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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