A characteristics based box scheme for compressible Eight-Wave structure ideal MHD equations

Ramesh K. Agarwal, Justin Augustinus

Research output: Contribution to conferencePaperpeer-review

Abstract

A characteristics based box scheme is developed for steady state solution of one-dimensional eight-wave ideal MHD equations. The scheme can be considered as an extension of Murman-Cole scheme for mixed elliptic-hyperbolic equations. A set of eigenvalues and associated eigenvectors are employed to develop the scheme. Solutions are obtained for MHD shock tube for different 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 with those obtained with a central difference scheme with TVD dissipation and Runge-Kutta time integration.

Original languageEnglish
Pages636-643
Number of pages8
StatePublished - 1999
Event14th Computational Fluid Dynamics Conference, 1999 - Norfolk, United States
Duration: Nov 1 1999Nov 5 1999

Conference

Conference14th Computational Fluid Dynamics Conference, 1999
Country/TerritoryUnited States
CityNorfolk
Period11/1/9911/5/99

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