Maire's new cell-centered Lagrangian method based on arbitrary Riemann solver

Yan Liu; Weidong Shen; Baolin Tian; De Kang Mao

doi:10.1109/CSCI.2014.158

Maire's new cell-centered Lagrangian method based on arbitrary Riemann solver

Yan Liu
, Weidong Shen
, Baolin Tian
, De Kang Mao

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

Abstract

In this paper, we develop an approach to stably apply the Riemann solvers without an acoustic form to the Maire's node-based Lagrangian scheme developed in (P. H. Maire, R. Abgrall, J. Breil, et al, A cell-centered lagrangian scheme for multidimensional compressible ow problems, SIAM J. Sci. Comput, 2007, 29, 1781-1824). We apply the Dukowicz [2], HLLC Riemann solver with complex wave speed estimate and exact Riemann solver to the Maire's scheme by this approach. Numerical examples are presented to validate the Maire's scheme using these three Riemann solvers

Original language	English
Title of host publication	Proceedings - 2014 International Conference on Computational Science and Computational Intelligence, CSCI 2014
Publisher	IEEE Computer Society
Pages	374-379
Number of pages	6
ISBN (Print)	9781479930098
DOIs	https://doi.org/10.1109/CSCI.2014.158
State	Published - 2014
Externally published	Yes
Event	2014 International Conference on Computational Science and Computational Intelligence, CSCI 2014 - Las Vegas, NV, United States Duration: 10 Mar 2014 → 13 Mar 2014

Publication series

Name	Proceedings - 2014 International Conference on Computational Science and Computational Intelligence, CSCI 2014
Volume	1

Conference

Conference	2014 International Conference on Computational Science and Computational Intelligence, CSCI 2014
Country/Territory	United States
City	Las Vegas, NV
Period	10/03/14 → 13/03/14

Keywords

Acoustic form
Dukowicz Riemann solver
Exact Riemann solver
HLLC Riemann solver
Maires node-based Lagrangian scheme

Access to Document

10.1109/CSCI.2014.158

Cite this

Liu, Y., Shen, W., Tian, B., & Mao, D. K. (2014). Maire's new cell-centered Lagrangian method based on arbitrary Riemann solver. In Proceedings - 2014 International Conference on Computational Science and Computational Intelligence, CSCI 2014 (pp. 374-379). Article 6822138 (Proceedings - 2014 International Conference on Computational Science and Computational Intelligence, CSCI 2014; Vol. 1). IEEE Computer Society. https://doi.org/10.1109/CSCI.2014.158

Liu, Yan ; Shen, Weidong ; Tian, Baolin et al. / Maire's new cell-centered Lagrangian method based on arbitrary Riemann solver. Proceedings - 2014 International Conference on Computational Science and Computational Intelligence, CSCI 2014. IEEE Computer Society, 2014. pp. 374-379 (Proceedings - 2014 International Conference on Computational Science and Computational Intelligence, CSCI 2014).

@inproceedings{812a3e4553ac4dc4aeda84f0d14515be,

title = "Maire's new cell-centered Lagrangian method based on arbitrary Riemann solver",

abstract = "In this paper, we develop an approach to stably apply the Riemann solvers without an acoustic form to the Maire's node-based Lagrangian scheme developed in (P. H. Maire, R. Abgrall, J. Breil, et al, A cell-centered lagrangian scheme for multidimensional compressible ow problems, SIAM J. Sci. Comput, 2007, 29, 1781-1824). We apply the Dukowicz [2], HLLC Riemann solver with complex wave speed estimate and exact Riemann solver to the Maire's scheme by this approach. Numerical examples are presented to validate the Maire's scheme using these three Riemann solvers",

keywords = "Acoustic form, Dukowicz Riemann solver, Exact Riemann solver, HLLC Riemann solver, Maires node-based Lagrangian scheme",

author = "Yan Liu and Weidong Shen and Baolin Tian and Mao, \{De Kang\}",

year = "2014",

doi = "10.1109/CSCI.2014.158",

language = "英语",

isbn = "9781479930098",

series = "Proceedings - 2014 International Conference on Computational Science and Computational Intelligence, CSCI 2014",

publisher = "IEEE Computer Society",

pages = "374--379",

booktitle = "Proceedings - 2014 International Conference on Computational Science and Computational Intelligence, CSCI 2014",

address = "美国",

note = "2014 International Conference on Computational Science and Computational Intelligence, CSCI 2014 ; Conference date: 10-03-2014 Through 13-03-2014",

}

Liu, Y, Shen, W, Tian, B & Mao, DK 2014, Maire's new cell-centered Lagrangian method based on arbitrary Riemann solver. in Proceedings - 2014 International Conference on Computational Science and Computational Intelligence, CSCI 2014., 6822138, Proceedings - 2014 International Conference on Computational Science and Computational Intelligence, CSCI 2014, vol. 1, IEEE Computer Society, pp. 374-379, 2014 International Conference on Computational Science and Computational Intelligence, CSCI 2014, Las Vegas, NV, United States, 10/03/14. https://doi.org/10.1109/CSCI.2014.158

Maire's new cell-centered Lagrangian method based on arbitrary Riemann solver. / Liu, Yan; Shen, Weidong; Tian, Baolin et al.
Proceedings - 2014 International Conference on Computational Science and Computational Intelligence, CSCI 2014. IEEE Computer Society, 2014. p. 374-379 6822138 (Proceedings - 2014 International Conference on Computational Science and Computational Intelligence, CSCI 2014; Vol. 1).

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

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AU - Tian, Baolin

AU - Mao, De Kang

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N2 - In this paper, we develop an approach to stably apply the Riemann solvers without an acoustic form to the Maire's node-based Lagrangian scheme developed in (P. H. Maire, R. Abgrall, J. Breil, et al, A cell-centered lagrangian scheme for multidimensional compressible ow problems, SIAM J. Sci. Comput, 2007, 29, 1781-1824). We apply the Dukowicz [2], HLLC Riemann solver with complex wave speed estimate and exact Riemann solver to the Maire's scheme by this approach. Numerical examples are presented to validate the Maire's scheme using these three Riemann solvers

AB - In this paper, we develop an approach to stably apply the Riemann solvers without an acoustic form to the Maire's node-based Lagrangian scheme developed in (P. H. Maire, R. Abgrall, J. Breil, et al, A cell-centered lagrangian scheme for multidimensional compressible ow problems, SIAM J. Sci. Comput, 2007, 29, 1781-1824). We apply the Dukowicz [2], HLLC Riemann solver with complex wave speed estimate and exact Riemann solver to the Maire's scheme by this approach. Numerical examples are presented to validate the Maire's scheme using these three Riemann solvers

KW - Acoustic form

KW - Dukowicz Riemann solver

KW - Exact Riemann solver

KW - HLLC Riemann solver

KW - Maires node-based Lagrangian scheme

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DO - 10.1109/CSCI.2014.158

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SN - 9781479930098

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BT - Proceedings - 2014 International Conference on Computational Science and Computational Intelligence, CSCI 2014

PB - IEEE Computer Society

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ER -

Liu Y, Shen W, Tian B, Mao DK. Maire's new cell-centered Lagrangian method based on arbitrary Riemann solver. In Proceedings - 2014 International Conference on Computational Science and Computational Intelligence, CSCI 2014. IEEE Computer Society. 2014. p. 374-379. 6822138. (Proceedings - 2014 International Conference on Computational Science and Computational Intelligence, CSCI 2014). doi: 10.1109/CSCI.2014.158

Maire's new cell-centered Lagrangian method based on arbitrary Riemann solver

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