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A high-order accurate discontinuous Galerkin finite element method for laminar low Mach number flows

Nigro, Alessandra and Renda, Salvatore and De Bartolo, Carmine and Hartmann, Ralf and Bassi, Francesco (2013) A high-order accurate discontinuous Galerkin finite element method for laminar low Mach number flows. International Journal for Numerical Methods in Fluids, 72 (1), pp. 43-68. Wiley. doi: 10.1002/fld.3732. ISSN 0271-2091.

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/fld.3732/pdf


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 an 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 the flow around a NACA0012 airfoil and on a flat plate, 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. The time accurate solution of unsteady flow is also demonstrated by solving the vortex shedding behind a circular cylinder at the Reynolds number of 100.

Item URL in elib:https://elib.dlr.de/78653/
Document Type:Article
Title:A high-order accurate discontinuous Galerkin finite element method for laminar low Mach number flows
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Nigro, Alessandraangri (at) unical.itUNSPECIFIED
Renda, Salvatoresalvatore.re (at) libero.itUNSPECIFIED
De Bartolo, Carminecarminedebartolo (at) gmail.comUNSPECIFIED
Hartmann, RalfRalf.Hartmann (at) dlr.deUNSPECIFIED
Bassi, Francescofrancesco.bassi (at) unibg.itUNSPECIFIED
Journal or Publication Title:International Journal for Numerical Methods in Fluids
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
DOI :10.1002/fld.3732
Page Range:pp. 43-68
EditorsEmailEditor's ORCID iD
Keywords:Discontinuous Galerkin method, BR2 scheme, low Mach number, preconditioning, Navier-Stokes 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 - Simulation & Validation (old)
Location: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > C²A²S²E - Center for Computer Applications in AeroSpace Science and Engineering
Deposited By: Hartmann, Dr.rer.nat. Ralf
Deposited On:12 Jun 2013 11:16
Last Modified:08 Mar 2018 18:37

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