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Discontinuous Galerkin Methods for inviscid low Mach number flows

Nigro, Alessandra (2008) Discontinuous Galerkin Methods for inviscid low Mach number flows. Dissertation. DLR-Interner Bericht. DLR-IB 124-2008/1, 103 S. (In Press)

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Abstract

In this work we present two preconditioning techniques for inviscid low Mach number flows. The space discretization used is a high-order Discontinuous Galerkin finite element method. The time discretizations analyzed are explicit and implicit schemes. The convective physical flux is replaced by a flux difference splitting scheme. Computations were performed on triangular and quadrangular grids to analyze the influence of the spatial discretization. For the preconditioning of the explicit Euler equations we propose to apply the fully preconditioning approach: a formulation that modifies both the instationary term of the governing equations and the dissipative term of the numerical flux function. For the preconditioning of the implicit Euler equations we propose to apply the flux preconditioning approach: a formulation that modifies only the dissipative term of the numerical flux function. Both these formulations permit to overcome the stiffness of the governing equations and the loss of accuracy of the solution that arise when the Mach number tends to zero. Finally, we present a splitting technique, a proper manipulation of the flow variables that permits to minimize the cancellation error that occurs as an accumulation effect of round-off errors as the Mach number tends to zero.

Item URL in elib:https://elib.dlr.de/52933/
Document Type:Monograph (DLR-Interner Bericht, Dissertation)
Title:Discontinuous Galerkin Methods for inviscid low Mach number flows
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Nigro, AlessandraUNSPECIFIEDUNSPECIFIED
Date:January 2008
Refereed publication:No
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Number of Pages:103
ISSN:1614-7790
Status:In Press
Keywords:discontinuous Galerkin method, preconditioning technique, explicit scheme, implicit scheme, cancellation, splitting technique
Institution:University of Calabria
Department:Department of Mechanical Engineering
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:17 Jan 2008
Last Modified:31 Jul 2019 19:21

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