Application of Discontinuous Galerkin spectral method on hexahedral elements for aeroacoustic
DURUFLÉ, Marc
Propagation des Ondes : Étude Mathématique et Simulation [POEMS]
Institut de Mathématiques de Bordeaux [IMB]
Propagation des Ondes : Étude Mathématique et Simulation [POEMS]
Institut de Mathématiques de Bordeaux [IMB]
DURUFLÉ, Marc
Propagation des Ondes : Étude Mathématique et Simulation [POEMS]
Institut de Mathématiques de Bordeaux [IMB]
< Reduce
Propagation des Ondes : Étude Mathématique et Simulation [POEMS]
Institut de Mathématiques de Bordeaux [IMB]
Language
en
Article de revue
This item was published in
Journal of Computational Acoustics. 2009, vol. 17, n° 2, p. 175-196
World Scientific Publishing
English Abstract
A discontinuous Galerkin method is developed for linear hyperbolic systems on general hexahedral meshes. The use of hexahedral elements and tensorized quadrature formulas to evaluate the integrals leads to an efficient ...Read more >
A discontinuous Galerkin method is developed for linear hyperbolic systems on general hexahedral meshes. The use of hexahedral elements and tensorized quadrature formulas to evaluate the integrals leads to an efficient matrix-vector product. It is shown for high order approximations, the reduction in computational time can be very important, compared to tetrahedral elements. Two choices of quadrature points are considered, the Gauss points or Gauss-Lobatto points. The method is applied to the aeroacoustic system (simplified Linearized Euler Equations). Some 3-D numericals experiments show the importance of penalization, and the advantage of using high order.Read less <
Origin
Hal imported