Space-time discontinuous Galerkin method for the compressible Navier-Stokes equations

C.M. Klaij; Jacobus J.W. van der Vegt; H. van der Ven

doi:10.1016/j.jcp.2006.01.018

Space-time discontinuous Galerkin method for the compressible Navier-Stokes equations

C.M. Klaij, Jacobus J.W. van der Vegt, H. van der Ven

Research output: Contribution to journal › Article › Academic › peer-review

165 Citations (Scopus)

2 Downloads (Pure)

Abstract

A space–time discontinuous Galerkin finite element method for the compressible Navier–Stokes equations is presented. We explain the space–time setting, derive the weak formulation and discuss our choices for the numerical fluxes. The resulting numerical method allows local grid adaptation as well as moving and deforming boundaries, which we illustrate by computing the flow around a 3D delta wing on an adapted mesh and by simulating the dynamic stall phenomenon of a 2D airfoil in rapid pitch-up maneuver.

Original language	Undefined
Article number	10.1016/j.jcp.2006.01.018
Pages (from-to)	589-611
Number of pages	23
Journal	Journal of computational physics
Volume	217
Issue number	500-266/2
DOIs	https://doi.org/10.1016/j.jcp.2006.01.018
Publication status	Published - 20 Sept 2006

Keywords

METIS-237832
Discontinuous Galerkin finite element methods
IR-63874
EWI-8853
Arbitrary Lagrangian Eularian (ALE) formulation
Compressible Navier–Stokes equations
Numerical fluxes

Access to Document

10.1016/j.jcp.2006.01.018

http://eprints.eemcs.utwente.nl/secure2/8853/01/discontinuous_Galerking_method_for_the_compressible_Nav_Stokes_equations.pdf

Cite this

@article{bda86ddc99fe450389125c9be853ec74,

title = "Space-time discontinuous Galerkin method for the compressible Navier-Stokes equations",

abstract = "A space–time discontinuous Galerkin finite element method for the compressible Navier–Stokes equations is presented. We explain the space–time setting, derive the weak formulation and discuss our choices for the numerical fluxes. The resulting numerical method allows local grid adaptation as well as moving and deforming boundaries, which we illustrate by computing the flow around a 3D delta wing on an adapted mesh and by simulating the dynamic stall phenomenon of a 2D airfoil in rapid pitch-up maneuver.",

keywords = "METIS-237832, Discontinuous Galerkin finite element methods, IR-63874, EWI-8853, Arbitrary Lagrangian Eularian (ALE) formulation, Compressible Navier–Stokes equations, Numerical fluxes",

author = "C.M. Klaij and {van der Vegt}, {Jacobus J.W.} and {van der Ven}, H.",

note = "http://eprints.ewi.utwente.nl/8853 ",

year = "2006",

month = sep,

day = "20",

doi = "10.1016/j.jcp.2006.01.018",

language = "Undefined",

volume = "217",

pages = "589--611",

journal = "Journal of computational physics",

issn = "0021-9991",

publisher = "Academic Press",

number = "500-266/2",

}

TY - JOUR

T1 - Space-time discontinuous Galerkin method for the compressible Navier-Stokes equations

AU - Klaij, C.M.

AU - van der Vegt, Jacobus J.W.

AU - van der Ven, H.

N1 - http://eprints.ewi.utwente.nl/8853

PY - 2006/9/20

Y1 - 2006/9/20

N2 - A space–time discontinuous Galerkin finite element method for the compressible Navier–Stokes equations is presented. We explain the space–time setting, derive the weak formulation and discuss our choices for the numerical fluxes. The resulting numerical method allows local grid adaptation as well as moving and deforming boundaries, which we illustrate by computing the flow around a 3D delta wing on an adapted mesh and by simulating the dynamic stall phenomenon of a 2D airfoil in rapid pitch-up maneuver.

AB - A space–time discontinuous Galerkin finite element method for the compressible Navier–Stokes equations is presented. We explain the space–time setting, derive the weak formulation and discuss our choices for the numerical fluxes. The resulting numerical method allows local grid adaptation as well as moving and deforming boundaries, which we illustrate by computing the flow around a 3D delta wing on an adapted mesh and by simulating the dynamic stall phenomenon of a 2D airfoil in rapid pitch-up maneuver.

KW - METIS-237832

KW - Discontinuous Galerkin finite element methods

KW - IR-63874

KW - EWI-8853

KW - Arbitrary Lagrangian Eularian (ALE) formulation

KW - Compressible Navier–Stokes equations

KW - Numerical fluxes

U2 - 10.1016/j.jcp.2006.01.018

DO - 10.1016/j.jcp.2006.01.018

M3 - Article

SN - 0021-9991

VL - 217

SP - 589

EP - 611

JO - Journal of computational physics

JF - Journal of computational physics

IS - 500-266/2

M1 - 10.1016/j.jcp.2006.01.018

ER -