Application of a Higher Order Discontinuous Galerkin

A. V. Wolkov; Ch. Hirsch; N. B. Petrovskaya

Mathematical Modelling of Natural Phenomena (2011)

  • Volume: 6, Issue: 3, page 237-263
  • ISSN: 0973-5348

Abstract

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We discuss the issues of implementation of a higher order discontinuous Galerkin (DG) scheme for aerodynamics computations. In recent years a DG method has intensively been studied at Central Aerohydrodynamic Institute (TsAGI) where a computational code has been designed for numerical solution of the 3-D Euler and Navier-Stokes equations. Our discussion is mainly based on the results of the DG study conducted in TsAGI in collaboration with the NUMECA International. The capacity of a DG scheme to tackle challenging computational problems is demonstrated and its potential advantages over FV schemes widely used in modern computational aerodynamics are highlighted.

How to cite

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Wolkov, A. V., Hirsch, Ch., and Petrovskaya, N. B.. "Application of a Higher Order Discontinuous Galerkin." Mathematical Modelling of Natural Phenomena 6.3 (2011): 237-263. <http://eudml.org/doc/222321>.

@article{Wolkov2011,
abstract = {We discuss the issues of implementation of a higher order discontinuous Galerkin (DG) scheme for aerodynamics computations. In recent years a DG method has intensively been studied at Central Aerohydrodynamic Institute (TsAGI) where a computational code has been designed for numerical solution of the 3-D Euler and Navier-Stokes equations. Our discussion is mainly based on the results of the DG study conducted in TsAGI in collaboration with the NUMECA International. The capacity of a DG scheme to tackle challenging computational problems is demonstrated and its potential advantages over FV schemes widely used in modern computational aerodynamics are highlighted. },
author = {Wolkov, A. V., Hirsch, Ch., Petrovskaya, N. B.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {computational aerodynamics; discontinuous Galerkin; higher order schemes},
language = {eng},
month = {5},
number = {3},
pages = {237-263},
publisher = {EDP Sciences},
title = {Application of a Higher Order Discontinuous Galerkin},
url = {http://eudml.org/doc/222321},
volume = {6},
year = {2011},
}

TY - JOUR
AU - Wolkov, A. V.
AU - Hirsch, Ch.
AU - Petrovskaya, N. B.
TI - Application of a Higher Order Discontinuous Galerkin
JO - Mathematical Modelling of Natural Phenomena
DA - 2011/5//
PB - EDP Sciences
VL - 6
IS - 3
SP - 237
EP - 263
AB - We discuss the issues of implementation of a higher order discontinuous Galerkin (DG) scheme for aerodynamics computations. In recent years a DG method has intensively been studied at Central Aerohydrodynamic Institute (TsAGI) where a computational code has been designed for numerical solution of the 3-D Euler and Navier-Stokes equations. Our discussion is mainly based on the results of the DG study conducted in TsAGI in collaboration with the NUMECA International. The capacity of a DG scheme to tackle challenging computational problems is demonstrated and its potential advantages over FV schemes widely used in modern computational aerodynamics are highlighted.
LA - eng
KW - computational aerodynamics; discontinuous Galerkin; higher order schemes
UR - http://eudml.org/doc/222321
ER -

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