A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics

Samet Y. Kadioglu; Rupert Klein; Michael L. Minion

doi:10.1016/j.jcp.2007.10.008

A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics

Samet Y. Kadioglu
, Rupert Klein
, Michael L. Minion^*

^*Bu çalışma için yazışmadan sorumlu yazar

Idaho National Laboratory
Free University of Berlin
University of North Carolina at Chapel Hill

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

40 Atıf (Scopus)

Özet

A fourth-order numerical method for the zero-Mach-number limit of the equations for compressible flow is presented. The method is formed by discretizing a new auxiliary variable formulation of the conservation equations, which is a variable density analog to the impulse or gauge formulation of the incompressible Euler equations. An auxiliary variable projection method is applied to this formulation, and accuracy is achieved by combining a fourth-order finite-volume spatial discretization with a fourth-order temporal scheme based on spectral deferred corrections. Numerical results are included which demonstrate fourth-order spatial and temporal accuracy for non-trivial flows in simple geometries.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	2012-2043
Sayfa sayısı	32
Dergi	Journal of Computational Physics
Hacim	227
Basın numarası	3
DOI'lar	https://doi.org/10.1016/j.jcp.2007.10.008
Yayın durumu	Yayınlandı - 10 Oca 2008
Harici olarak yayınlandı	Evet

Finansman

M.M. acknowledges the support of the Alexander-von-Humboldt Stiftung through a research stipend, and funding of part of the present work by the US Department of Energy. S.K. was funded by the US Department of Energy through the Scientific Discovery Through Advanced Computing program. R.K. appreciates partial funding of the present work by Deutsche Forschungsgemeinschaft, grants KL 611/6, KL 611/14. The authors thank Matthias Münch for helping out with the second-order calculations in Section 4.3.2 .

Finansörler	Finansör numarası
Alexander-von-Humboldt Stiftung
U.S. Department of Energy
Deutsche Forschungsgemeinschaft	KL 611/6, KL 611/14

Belgeye Erişim

10.1016/j.jcp.2007.10.008

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics",

abstract = "A fourth-order numerical method for the zero-Mach-number limit of the equations for compressible flow is presented. The method is formed by discretizing a new auxiliary variable formulation of the conservation equations, which is a variable density analog to the impulse or gauge formulation of the incompressible Euler equations. An auxiliary variable projection method is applied to this formulation, and accuracy is achieved by combining a fourth-order finite-volume spatial discretization with a fourth-order temporal scheme based on spectral deferred corrections. Numerical results are included which demonstrate fourth-order spatial and temporal accuracy for non-trivial flows in simple geometries.",

keywords = "Auxiliary variable methods, Deferred corrections, Gas dynamics, Gauge methods, Impulse methods, Projection methods",

author = "Kadioglu, \{Samet Y.\} and Rupert Klein and Minion, \{Michael L.\}",

year = "2008",

month = jan,

day = "10",

doi = "10.1016/j.jcp.2007.10.008",

language = "English",

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T1 - A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics

AU - Kadioglu, Samet Y.

AU - Klein, Rupert

AU - Minion, Michael L.

PY - 2008/1/10

Y1 - 2008/1/10

N2 - A fourth-order numerical method for the zero-Mach-number limit of the equations for compressible flow is presented. The method is formed by discretizing a new auxiliary variable formulation of the conservation equations, which is a variable density analog to the impulse or gauge formulation of the incompressible Euler equations. An auxiliary variable projection method is applied to this formulation, and accuracy is achieved by combining a fourth-order finite-volume spatial discretization with a fourth-order temporal scheme based on spectral deferred corrections. Numerical results are included which demonstrate fourth-order spatial and temporal accuracy for non-trivial flows in simple geometries.

AB - A fourth-order numerical method for the zero-Mach-number limit of the equations for compressible flow is presented. The method is formed by discretizing a new auxiliary variable formulation of the conservation equations, which is a variable density analog to the impulse or gauge formulation of the incompressible Euler equations. An auxiliary variable projection method is applied to this formulation, and accuracy is achieved by combining a fourth-order finite-volume spatial discretization with a fourth-order temporal scheme based on spectral deferred corrections. Numerical results are included which demonstrate fourth-order spatial and temporal accuracy for non-trivial flows in simple geometries.

KW - Auxiliary variable methods

KW - Deferred corrections

KW - Gas dynamics

KW - Gauge methods

KW - Impulse methods

KW - Projection methods

UR - https://www.scopus.com/pages/publications/37249061618

U2 - 10.1016/j.jcp.2007.10.008

DO - 10.1016/j.jcp.2007.10.008

M3 - Article

AN - SCOPUS:37249061618

SN - 0021-9991

VL - 227

SP - 2012

EP - 2043

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 3

ER -

A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics

Özet

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

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