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Two-scale numerical solution of the electromagnetic two-fluid plasma-Maxwell equations: Shock and soliton simulation

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  • Baboolal, S.
  • Bharuthram, R.

Abstract

Here, we indicate how to integrate the set of conservation equations for mass, momentum and energy for a two-fluid plasma coupled to Maxwell’s equations for the electromagnetic field, written in a composite conservative form, by means of a recently modified non-staggered version of the staggered second order central difference scheme of Nessyahu and Tadmor [H. Nessyahu, E. Tadmor, Non-oscillatory central differencing for hyperbolic conservation laws, J. Comput. Phys. 87 (1990) 408–463]. Allowing for wave propagation in one dimension, we illustrate the formation and evolution of magnetosonic shocks and solitons using two sets of time and space normalizations.

Suggested Citation

  • Baboolal, S. & Bharuthram, R., 2007. "Two-scale numerical solution of the electromagnetic two-fluid plasma-Maxwell equations: Shock and soliton simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 76(1), pages 3-7.
  • Handle: RePEc:eee:matcom:v:76:y:2007:i:1:p:3-7
    DOI: 10.1016/j.matcom.2007.01.004
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    References listed on IDEAS

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    1. Baboolal, S., 2001. "Finite-difference modeling of solitons induced by a density hump in a plasma multi-fluid," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 55(4), pages 309-316.
    2. Naidoo, R. & Baboolal, S., 2005. "Numerical integration of the plasma fluid equations with a modification of the second-order Nessyahu–Tadmor central scheme and soliton modeling," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 69(5), pages 457-466.
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    Cited by:

    1. Liu, Yanhong & Wang, Huimin, 2020. "Simulations of the rectangular wave-guide pattern in the complex Maxwell vorticity equations by lattice Boltzmann method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 173(C), pages 1-15.

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    1. Naidoo, R. & Baboolal, S., 2005. "Numerical integration of the plasma fluid equations with a modification of the second-order Nessyahu–Tadmor central scheme and soliton modeling," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 69(5), pages 457-466.

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