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

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

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

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

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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
Place of Publication	Enschede
Publisher	University of Twente
ISBN (Print)	0169-2690
Publication status	Published - 2005

Publication series

Name	Memoranda
Publisher	Department of Applied Mathematics, University of Twente
No.	1774
ISSN (Print)	0169-2690

Keywords

MSC-35L65
MSC-35Q30
MSC-65M60
MSC-76M10
IR-65958
MSC-76D17
MSC-76N15
EWI-3594
METIS-226336
MSC-76D05

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Cite this

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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 = "MSC-35L65, MSC-35Q30, MSC-65M60, MSC-76M10, IR-65958, MSC-76D17, MSC-76N15, EWI-3594, METIS-226336, MSC-76D05",

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

note = "Imported from MEMORANDA",

year = "2005",

language = "Undefined",

isbn = "0169-2690",

series = "Memoranda",

publisher = "University of Twente",

number = "1774",

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TY - BOOK

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 - Imported from MEMORANDA

PY - 2005

Y1 - 2005

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 - MSC-35L65

KW - MSC-35Q30

KW - MSC-65M60

KW - MSC-76M10

KW - IR-65958

KW - MSC-76D17

KW - MSC-76N15

KW - EWI-3594

KW - METIS-226336

KW - MSC-76D05

M3 - Report

SN - 0169-2690

T3 - Memoranda

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

PB - University of Twente

CY - Enschede

ER -