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Discontinuous Galerkin solution of preconditioned Euler equations for very low Mach number flows

Nigro, A. and De Bartolo, C. and Hartmann, Ralf and Bassi, F. (2010) Discontinuous Galerkin solution of preconditioned Euler equations for very low Mach number flows. International Journal for Numerical Methods in Fluids, 63 (4), pp. 449-467. Wiley. DOI: 10.1002/fld.2083 ISSN 0271-2091

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Abstract

In this work we present a Discontinuous Galerkin (DG) method designed to improve the accuracy and efficiency of the solution at very low Mach number flows using an explicit scheme for the temporal discretization of the compressible Euler equations. The algorithm is based on a perturbed formulation of the governing equ ations and employs the preconditioning of both the instationary term of the governing equations and the dissipative term of the numerical flux function (full preconditioning approach). The performance of the method is demonstrated by solving an inviscid flow past a NACA0012 airfoil at different very low Mach numbers using various degrees of polynomial approximations. We present numerical results computed with and without perturbed variables which illustrate the influence of the cancellation errors on both the convergence and the accuracy of the DG solutions at low Mach numbers.

Item URL in elib:https://elib.dlr.de/63164/
Document Type:Article
Title:Discontinuous Galerkin solution of preconditioned Euler equations for very low Mach number flows
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Nigro, A.UNSPECIFIEDUNSPECIFIED
De Bartolo, C.UNSPECIFIEDUNSPECIFIED
Hartmann, RalfRalf.Hartmann (at) dlr.dehttps://orcid.org/0000-0002-0403-1221
Bassi, F.UNSPECIFIEDUNSPECIFIED
Date:2010
Journal or Publication Title:International Journal for Numerical Methods in Fluids
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:63
DOI :10.1002/fld.2083
Page Range:pp. 449-467
Publisher:Wiley
ISSN:0271-2091
Status:Published
Keywords:Discontinuous Galerkin method, low Mach number; cancellation error; preconditioning; compressible Euler equations
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Concepts & Integration (old)
Location: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > CASE
Deposited By: Hartmann, Dr.rer.nat. Ralf
Deposited On:15 Feb 2010 13:50
Last Modified:31 Jul 2019 19:27

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