Abstract
| Original language | Undefined |
|---|---|
| Pages (from-to) | 46-77 |
| Number of pages | 32 |
| Journal | Journal of computational physics |
| Volume | 141 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 20 Mar 1998 |
Keywords
- Discontinuous Galerkin finite element methods
- Gas dynamics
- EWI-16349
- Anisotropic grid adaptation
- IR-73718
- METIS-206721
Cite this
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Discontinuous Galerkin finite element method with anisotropic local grid refinement for inviscid compressible flows. / van der Vegt, Jacobus J.W.; van der Ven, H.
In: Journal of computational physics, Vol. 141, No. 1, 20.03.1998, p. 46-77.Research output: Contribution to journal › Article › Academic › peer-review
TY - JOUR
T1 - Discontinuous Galerkin finite element method with anisotropic local grid refinement for inviscid compressible flows
AU - van der Vegt, Jacobus J.W.
AU - van der Ven, H.
PY - 1998/3/20
Y1 - 1998/3/20
N2 - A new discretization method for the three-dimensional Euler equations of gas dynamics is presented, which is based on the discontinuous Galerkin finite element method. Special attention is paid to an efficient implementation of the discontinuous Galerkin method that minimizes the number of flux calculations, which is generally the most expensive part of the algorithm. In addition a detailed discussion of the truncation error of the presented algorithm is given. The discretization of the Euler equations is combined with anisotropic grid refinement of an unstructured, hexahedron-type grid to achieve optimal resolution in areas with shocks, vortices, and other localized flow phenomena. The data structure and searching algorithms necessary for efficient calculation on highly irregular grids obtained with local grid refinement are discussed in detail. The method is demonstrated with calculations of the supersonic flow over a 10? ramp and the ONERA M6 wing under transsonic flow conditions
AB - A new discretization method for the three-dimensional Euler equations of gas dynamics is presented, which is based on the discontinuous Galerkin finite element method. Special attention is paid to an efficient implementation of the discontinuous Galerkin method that minimizes the number of flux calculations, which is generally the most expensive part of the algorithm. In addition a detailed discussion of the truncation error of the presented algorithm is given. The discretization of the Euler equations is combined with anisotropic grid refinement of an unstructured, hexahedron-type grid to achieve optimal resolution in areas with shocks, vortices, and other localized flow phenomena. The data structure and searching algorithms necessary for efficient calculation on highly irregular grids obtained with local grid refinement are discussed in detail. The method is demonstrated with calculations of the supersonic flow over a 10? ramp and the ONERA M6 wing under transsonic flow conditions
KW - Discontinuous Galerkin finite element methods
KW - Gas dynamics
KW - EWI-16349
KW - Anisotropic grid adaptation
KW - IR-73718
KW - METIS-206721
U2 - 10.1006/jcph.1998.5904
DO - 10.1006/jcph.1998.5904
M3 - Article
VL - 141
SP - 46
EP - 77
JO - Journal of computational physics
JF - Journal of computational physics
SN - 0021-9991
IS - 1
ER -