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A discontinuous Galerkin method for laminar low Mach number flows

Nigro, Alessandra and Renda, Salvatore Manuel and De Bartolo, Carmine and Hartmann, Ralf and Bassi, Francesco (2011) A discontinuous Galerkin method for laminar low Mach number flows. 66th National Congress ATI, 5-9 Sept 2011, Rende, Italy.



In this paper we present a Discontinuous Galerkin (DG) method designed to improve the accuracy and efficiency of laminar flow simulations at low Mach numbers using a fully implicit scheme. The algorithm is based on the flux preconditioning approach, which modifies only the dissipative terms of the numerical flux. This formulation is quite simple to implement in existing implicit DG codes, it overcomes the time-stepping restrictions of explicit multistage algorithms, is consistent in time and thus applicable to unsteady flows. The performance of the method is demonstrated by solving a laminar flow past a NACA0012 airfoil at different low Mach numbers using various degrees of polynomial approximations. Computations with and without flux preconditioning are performed on different grid topologies to analyze the influence of the spatial discretization on the accuracy of the DG solutions at low Mach numbers.

Item URL in elib:https://elib.dlr.de/72400/
Document Type:Conference or Workshop Item (Speech, Paper)
Title:A discontinuous Galerkin method for laminar low Mach number flows
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Nigro, AlessandraUniversity of CalabriaUNSPECIFIED
Renda, Salvatore ManuelUniversity of CalabriaUNSPECIFIED
De Bartolo, CarmineUniversity of CalabriaUNSPECIFIED
Bassi, FrancescoUniversity of BergamoUNSPECIFIED
Date:September 2011
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:No
Keywords:Discontinuous Galerkin method, laminar flow, low Mach number preconditioning
Event Title:66th National Congress ATI
Event Location:Rende, Italy
Event Type:international Conference
Event Dates:5-9 Sept 2011
Organizer:University of Calabria
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 - Simulation & Validation (old)
Location: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > CASE
Deposited By: Hartmann, Dr.rer.nat. Ralf
Deposited On:06 Dec 2011 15:10
Last Modified:31 Jul 2019 19:33

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