Numerical solutions of the eight-wave structure ideal MHD equations by modified Runge-Kutta scheme with TVD

Justin Augustinus; Shigeki Harada; Ramesh K. Agarwal; Klaus A. Hoffmann

Numerical solutions of the eight-wave structure ideal MHD equations by modified Runge-Kutta scheme with TVD

Justin Augustinus
, Shigeki Harada
, Ramesh K. Agarwal
, Klaus A. Hoffmann

Research output: Contribution to conference › Paper › peer-review

Abstract

The one-dimensional eight-wave ideal MHD equations are used to investigate the accuracy of the proposed Runge-Kutta scheme with added TVD acting as a dissipation mechanism. This investigation is performed to establish the procedure for extension to multidimensional problems in MHD. A set of eigenvalues and a set of new associated eigenvectors have been developed. Three well known TVD models and several limiters for each model are investigated for their accuracy and robustness. Solutions are obtained for diffferent cases, each under the influence of a different magnetic field in order to identify the formation of wave patterns in the flow field. The numerical solutions are compared to each other and analytical solutions when available.

Original language	English
State	Published - 1997
Event	28th Plasmadynamics and Lasers Conference, 1997 - Atlanta, United States Duration: Jun 23 1997 → Jun 25 1997

Conference

Conference	28th Plasmadynamics and Lasers Conference, 1997
Country/Territory	United States
City	Atlanta
Period	06/23/97 → 06/25/97

Cite this

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title = "Numerical solutions of the eight-wave structure ideal MHD equations by modified Runge-Kutta scheme with TVD",

abstract = "The one-dimensional eight-wave ideal MHD equations are used to investigate the accuracy of the proposed Runge-Kutta scheme with added TVD acting as a dissipation mechanism. This investigation is performed to establish the procedure for extension to multidimensional problems in MHD. A set of eigenvalues and a set of new associated eigenvectors have been developed. Three well known TVD models and several limiters for each model are investigated for their accuracy and robustness. Solutions are obtained for diffferent cases, each under the influence of a different magnetic field in order to identify the formation of wave patterns in the flow field. The numerical solutions are compared to each other and analytical solutions when available.",

author = "Justin Augustinus and Shigeki Harada and Agarwal, \{Ramesh K.\} and Hoffmann, \{Klaus A.\}",

note = "Publisher Copyright: {\textcopyright} 1997, American Institute of Aeronautics and Astronautics, Inc.; 28th Plasmadynamics and Lasers Conference, 1997 ; Conference date: 23-06-1997 Through 25-06-1997",

year = "1997",

language = "English",

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TY - CONF

T1 - Numerical solutions of the eight-wave structure ideal MHD equations by modified Runge-Kutta scheme with TVD

AU - Augustinus, Justin

AU - Harada, Shigeki

AU - Agarwal, Ramesh K.

AU - Hoffmann, Klaus A.

PY - 1997

Y1 - 1997

N2 - The one-dimensional eight-wave ideal MHD equations are used to investigate the accuracy of the proposed Runge-Kutta scheme with added TVD acting as a dissipation mechanism. This investigation is performed to establish the procedure for extension to multidimensional problems in MHD. A set of eigenvalues and a set of new associated eigenvectors have been developed. Three well known TVD models and several limiters for each model are investigated for their accuracy and robustness. Solutions are obtained for diffferent cases, each under the influence of a different magnetic field in order to identify the formation of wave patterns in the flow field. The numerical solutions are compared to each other and analytical solutions when available.

AB - The one-dimensional eight-wave ideal MHD equations are used to investigate the accuracy of the proposed Runge-Kutta scheme with added TVD acting as a dissipation mechanism. This investigation is performed to establish the procedure for extension to multidimensional problems in MHD. A set of eigenvalues and a set of new associated eigenvectors have been developed. Three well known TVD models and several limiters for each model are investigated for their accuracy and robustness. Solutions are obtained for diffferent cases, each under the influence of a different magnetic field in order to identify the formation of wave patterns in the flow field. The numerical solutions are compared to each other and analytical solutions when available.

UR - https://www.scopus.com/pages/publications/84894386482

M3 - Paper

AN - SCOPUS:84894386482

T2 - 28th Plasmadynamics and Lasers Conference, 1997

Y2 - 23 June 1997 through 25 June 1997

ER -

Numerical solutions of the eight-wave structure ideal MHD equations by modified Runge-Kutta scheme with TVD

Abstract

Conference

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