On the preservation of total enthalpy in SUPG methods

Steven W. Bova; Benjamin S. Kirk

On the preservation of total enthalpy in SUPG methods

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Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We analyze the artificial dissipation introduced by a streamline-upwind Petrov-Galerkin finite element method and consider its effect on the conservation of total enthalpy for the Euler and laminar Navier-Stokes equations. We also consider the chemically reacting case. We demonstrate that in general, total enthalpy is not conserved for the important special case of the steady-state Euler equations. A modification to the artificial dissipation is proposed and shown to significantly improve the conservation of total enthalpy.

Original language	English
Title of host publication	20th AIAA Computational Fluid Dynamics Conference 2011
State	Published - 2011
Event	20th AIAA Computational Fluid Dynamics Conference 2011 - Honolulu, HI, United States Duration: Jun 27 2011 → Jun 30 2011

Publication series

Name	20th AIAA Computational Fluid Dynamics Conference 2011

Conference

Conference	20th AIAA Computational Fluid Dynamics Conference 2011
Country/Territory	United States
City	Honolulu, HI
Period	06/27/11 → 06/30/11

Cite this

@inproceedings{0f3d85b0c1964fb281f3999514a7269d,

title = "On the preservation of total enthalpy in SUPG methods",

abstract = "We analyze the artificial dissipation introduced by a streamline-upwind Petrov-Galerkin finite element method and consider its effect on the conservation of total enthalpy for the Euler and laminar Navier-Stokes equations. We also consider the chemically reacting case. We demonstrate that in general, total enthalpy is not conserved for the important special case of the steady-state Euler equations. A modification to the artificial dissipation is proposed and shown to significantly improve the conservation of total enthalpy.",

author = "Bova, \{Steven W.\} and Kirk, \{Benjamin S.\}",

year = "2011",

language = "English",

isbn = "9781624101489",

series = "20th AIAA Computational Fluid Dynamics Conference 2011",

booktitle = "20th AIAA Computational Fluid Dynamics Conference 2011",

note = "20th AIAA Computational Fluid Dynamics Conference 2011 ; Conference date: 27-06-2011 Through 30-06-2011",

}

TY - GEN

T1 - On the preservation of total enthalpy in SUPG methods

AU - Bova, Steven W.

AU - Kirk, Benjamin S.

PY - 2011

Y1 - 2011

N2 - We analyze the artificial dissipation introduced by a streamline-upwind Petrov-Galerkin finite element method and consider its effect on the conservation of total enthalpy for the Euler and laminar Navier-Stokes equations. We also consider the chemically reacting case. We demonstrate that in general, total enthalpy is not conserved for the important special case of the steady-state Euler equations. A modification to the artificial dissipation is proposed and shown to significantly improve the conservation of total enthalpy.

AB - We analyze the artificial dissipation introduced by a streamline-upwind Petrov-Galerkin finite element method and consider its effect on the conservation of total enthalpy for the Euler and laminar Navier-Stokes equations. We also consider the chemically reacting case. We demonstrate that in general, total enthalpy is not conserved for the important special case of the steady-state Euler equations. A modification to the artificial dissipation is proposed and shown to significantly improve the conservation of total enthalpy.

UR - https://www.scopus.com/pages/publications/84880614011

M3 - Conference contribution

AN - SCOPUS:84880614011

SN - 9781624101489

T3 - 20th AIAA Computational Fluid Dynamics Conference 2011

BT - 20th AIAA Computational Fluid Dynamics Conference 2011

T2 - 20th AIAA Computational Fluid Dynamics Conference 2011

Y2 - 27 June 2011 through 30 June 2011

ER -

On the preservation of total enthalpy in SUPG methods

Abstract

Publication series

Conference

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