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Heterogeneous Domain Decomposition Methods for Compressible Magneto-plasma Flows

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Hyperbolic Problems: Theory, Numerics, Applications

Abstract

We present nonoverlapping domain decomposition methods for the numerical treatment of compressible viscous plasma flows inside a self—field magnetoplasmadynamic (MPD) accelerator. The magneto—plasma flow is modelled by a system of conservation laws extended by partial differential equations describing the electromagnetic field. Since the numerical solution of the governing equations is extremely expensive, the flow—field domain is decomposed into two or three model zones, characterized by different physical properties of the flow. The compressible Navier—Stokes equations (extended under the influence of an arc discharge) in the near field of the accelerator are coupled with simplified models of extended conservation laws in the far field via appropriate transmission conditions at the artificial coupling boundaries. Results of our numerical computations are presented.

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© 2001 Springer Basel AG

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Auweter-Kurtz, M., Coclici, C.A., Heiermann, J., Wendland, W.L. (2001). Heterogeneous Domain Decomposition Methods for Compressible Magneto-plasma Flows. In: Freistühler, H., Warnecke, G. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 140. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8370-2_10

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  • DOI: https://doi.org/10.1007/978-3-0348-8370-2_10

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9537-8

  • Online ISBN: 978-3-0348-8370-2

  • eBook Packages: Springer Book Archive

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