On the computation of the Baer-Nunziato model

Fabien Crouzet; Frédéric Daude; Pascal Galony; Philippe Helluyz; Jean Marc Hérardx; Yujie Liu

doi:10.2514/6.2012-3355

On the computation of the Baer-Nunziato model

Fabien Crouzet
, Frédéric Daude
, Pascal Galony
, Philippe Helluyz
, Jean Marc Hérardx
, Yujie Liu

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

Abstract

This paper is devoted to the computation of the Baer-Nunziato model, and more precisely to the verification of a few schemes, while using analytic solutions of the one-dimensional Riemann problem. Since classical perfect gas EOS may imply specific behaviours, we wish to investigate any kind of EOS, and thus we focus on and verify capabilities and drawbacks of simple enough solvers such as the Rusanov scheme. For so-called first-order (respectively second-order) Finite-Volume schemes, we check that a h^1/2 (resp. h^2/3) rate of convergence is retrieved. Actually, the fractional step approach is also shown to be more stable than the single-step approach.

Original language	English
Title of host publication	42nd AIAA Fluid Dynamics Conference and Exhibit 2012
Publisher	American Institute of Aeronautics and Astronautics Inc.
ISBN (Print)	9781600869334
DOIs	https://doi.org/10.2514/6.2012-3355
Publication status	Published - 1 Jan 2012
Externally published	Yes
Event	42nd AIAA Fluid Dynamics Conference and Exhibit 2012 - New Orleans, LA, United States Duration: 25 Jun 2012 → 28 Jun 2012

Publication series

Name	42nd AIAA Fluid Dynamics Conference and Exhibit 2012

Conference

Conference	42nd AIAA Fluid Dynamics Conference and Exhibit 2012
Country/Territory	United States
City	New Orleans, LA
Period	25/06/12 → 28/06/12

Access to Document

10.2514/6.2012-3355

Cite this

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title = "On the computation of the Baer-Nunziato model",

abstract = "This paper is devoted to the computation of the Baer-Nunziato model, and more precisely to the verification of a few schemes, while using analytic solutions of the one-dimensional Riemann problem. Since classical perfect gas EOS may imply specific behaviours, we wish to investigate any kind of EOS, and thus we focus on and verify capabilities and drawbacks of simple enough solvers such as the Rusanov scheme. For so-called first-order (respectively second-order) Finite-Volume schemes, we check that a h1/2 (resp. h2/3) rate of convergence is retrieved. Actually, the fractional step approach is also shown to be more stable than the single-step approach.",

author = "Fabien Crouzet and Fr{\'e}d{\'e}ric Daude and Pascal Galony and Philippe Helluyz and H{\'e}rardx, \{Jean Marc\} and Yujie Liu",

year = "2012",

month = jan,

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doi = "10.2514/6.2012-3355",

language = "English",

isbn = "9781600869334",

series = "42nd AIAA Fluid Dynamics Conference and Exhibit 2012",

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

booktitle = "42nd AIAA Fluid Dynamics Conference and Exhibit 2012",

note = "42nd AIAA Fluid Dynamics Conference and Exhibit 2012 ; Conference date: 25-06-2012 Through 28-06-2012",

}

Crouzet, F, Daude, F, Galony, P, Helluyz, P, Hérardx, JM & Liu, Y 2012, On the computation of the Baer-Nunziato model. in 42nd AIAA Fluid Dynamics Conference and Exhibit 2012. 42nd AIAA Fluid Dynamics Conference and Exhibit 2012, American Institute of Aeronautics and Astronautics Inc., 42nd AIAA Fluid Dynamics Conference and Exhibit 2012, New Orleans, LA, United States, 25/06/12. https://doi.org/10.2514/6.2012-3355

On the computation of the Baer-Nunziato model. / Crouzet, Fabien; Daude, Frédéric; Galony, Pascal et al.
42nd AIAA Fluid Dynamics Conference and Exhibit 2012. American Institute of Aeronautics and Astronautics Inc., 2012. (42nd AIAA Fluid Dynamics Conference and Exhibit 2012).

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

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T1 - On the computation of the Baer-Nunziato model

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AU - Hérardx, Jean Marc

AU - Liu, Yujie

PY - 2012/1/1

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N2 - This paper is devoted to the computation of the Baer-Nunziato model, and more precisely to the verification of a few schemes, while using analytic solutions of the one-dimensional Riemann problem. Since classical perfect gas EOS may imply specific behaviours, we wish to investigate any kind of EOS, and thus we focus on and verify capabilities and drawbacks of simple enough solvers such as the Rusanov scheme. For so-called first-order (respectively second-order) Finite-Volume schemes, we check that a h1/2 (resp. h2/3) rate of convergence is retrieved. Actually, the fractional step approach is also shown to be more stable than the single-step approach.

AB - This paper is devoted to the computation of the Baer-Nunziato model, and more precisely to the verification of a few schemes, while using analytic solutions of the one-dimensional Riemann problem. Since classical perfect gas EOS may imply specific behaviours, we wish to investigate any kind of EOS, and thus we focus on and verify capabilities and drawbacks of simple enough solvers such as the Rusanov scheme. For so-called first-order (respectively second-order) Finite-Volume schemes, we check that a h1/2 (resp. h2/3) rate of convergence is retrieved. Actually, the fractional step approach is also shown to be more stable than the single-step approach.

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T3 - 42nd AIAA Fluid Dynamics Conference and Exhibit 2012

BT - 42nd AIAA Fluid Dynamics Conference and Exhibit 2012

PB - American Institute of Aeronautics and Astronautics Inc.

T2 - 42nd AIAA Fluid Dynamics Conference and Exhibit 2012

Y2 - 25 June 2012 through 28 June 2012

ER -

On the computation of the Baer-Nunziato model

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