Stabilized finite element scheme for high speed flows with chemical non-equilibrium

Steven W. Bova; Ryan B. Bond; Benjamin S. Kirk

doi:10.2514/6.2010-1560

Stabilized finite element scheme for high speed flows with chemical non-equilibrium

Steven W. Bova, Ryan B. Bond, Benjamin S. Kirk

Consulting Services Group

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

6 Scopus citations

Abstract

A streamline upwind Petrov-Galerkin finite element method is presented for the case of a reacting mixture of thermally-perfect gases, using chemical non-equilibrium. Details of the stabilization scheme and nonlinear solution are presented. The authors have independently implemented the proposed algorithm in two separate codes, for both single temperature and and two temperature models. Example problems invoving a cylinder in Mach 20 crossflow, as well as a three-dimensional blunt nosetip are shown and compared to established codes.

Original language	English
Title of host publication	48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition
Publisher	American Institute of Aeronautics and Astronautics Inc.
ISBN (Print)	9781600867392
DOIs	https://doi.org/10.2514/6.2010-1560
State	Published - 2010

Publication series

Name	48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition

Access to Document

10.2514/6.2010-1560

Cite this

Bova, S. W., Bond, R. B., & Kirk, B. S. (2010). Stabilized finite element scheme for high speed flows with chemical non-equilibrium. In 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition Article 2010-1560 (48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition). American Institute of Aeronautics and Astronautics Inc.. https://doi.org/10.2514/6.2010-1560

Bova, Steven W. ; Bond, Ryan B. ; Kirk, Benjamin S. / Stabilized finite element scheme for high speed flows with chemical non-equilibrium. 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition. American Institute of Aeronautics and Astronautics Inc., 2010. (48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition).

@inproceedings{11b7eb9719cd4c62b64077592fc9a306,

title = "Stabilized finite element scheme for high speed flows with chemical non-equilibrium",

abstract = "A streamline upwind Petrov-Galerkin finite element method is presented for the case of a reacting mixture of thermally-perfect gases, using chemical non-equilibrium. Details of the stabilization scheme and nonlinear solution are presented. The authors have independently implemented the proposed algorithm in two separate codes, for both single temperature and and two temperature models. Example problems invoving a cylinder in Mach 20 crossflow, as well as a three-dimensional blunt nosetip are shown and compared to established codes.",

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

year = "2010",

doi = "10.2514/6.2010-1560",

language = "English",

isbn = "9781600867392",

series = "48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition",

publisher = "American Institute of Aeronautics and Astronautics Inc.",

booktitle = "48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition",

}

Bova, SW, Bond, RB & Kirk, BS 2010, Stabilized finite element scheme for high speed flows with chemical non-equilibrium. in 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition., 2010-1560, 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, American Institute of Aeronautics and Astronautics Inc. https://doi.org/10.2514/6.2010-1560

Stabilized finite element scheme for high speed flows with chemical non-equilibrium. / Bova, Steven W.; Bond, Ryan B.; Kirk, Benjamin S.
48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition. American Institute of Aeronautics and Astronautics Inc., 2010. 2010-1560 (48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition).

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

TY - GEN

T1 - Stabilized finite element scheme for high speed flows with chemical non-equilibrium

AU - Bova, Steven W.

AU - Bond, Ryan B.

AU - Kirk, Benjamin S.

PY - 2010

Y1 - 2010

N2 - A streamline upwind Petrov-Galerkin finite element method is presented for the case of a reacting mixture of thermally-perfect gases, using chemical non-equilibrium. Details of the stabilization scheme and nonlinear solution are presented. The authors have independently implemented the proposed algorithm in two separate codes, for both single temperature and and two temperature models. Example problems invoving a cylinder in Mach 20 crossflow, as well as a three-dimensional blunt nosetip are shown and compared to established codes.

AB - A streamline upwind Petrov-Galerkin finite element method is presented for the case of a reacting mixture of thermally-perfect gases, using chemical non-equilibrium. Details of the stabilization scheme and nonlinear solution are presented. The authors have independently implemented the proposed algorithm in two separate codes, for both single temperature and and two temperature models. Example problems invoving a cylinder in Mach 20 crossflow, as well as a three-dimensional blunt nosetip are shown and compared to established codes.

UR - https://www.scopus.com/pages/publications/78649891180

U2 - 10.2514/6.2010-1560

DO - 10.2514/6.2010-1560

M3 - Conference contribution

AN - SCOPUS:78649891180

SN - 9781600867392

T3 - 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition

BT - 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition

PB - American Institute of Aeronautics and Astronautics Inc.

ER -

Bova SW, Bond RB, Kirk BS. Stabilized finite element scheme for high speed flows with chemical non-equilibrium. In 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition. American Institute of Aeronautics and Astronautics Inc. 2010. 2010-1560. (48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition). doi: 10.2514/6.2010-1560

Stabilized finite element scheme for high speed flows with chemical non-equilibrium

Abstract

Publication series

Access to Document

Other files and links

Fingerprint

Cite this