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Numerical integration of the plasma fluid equations with a modification of the second-order Nessyahu–Tadmor central scheme and soliton modeling

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  • Naidoo, R.
  • Baboolal, S.

Abstract

Here we outline a modification of the second order central difference scheme based on staggered spatial grids due to Nessyahu and Tadmor [H. Nessyahu, E. Tadmor, Non-oscillatory central differencing for hyperbolic conservation laws, J. Comput. Phys. 87 (1990) 408] to a non-staggered scheme for one-dimensional hyperbolic systems which can additionally include source terms. With this modification we integrate the one-dimensional electrostatic plasma fluid-Poisson equations to illustrate ion-acoustic soliton formation and propagation. This application is interesting because, to our knowledge, it is the first time that a high-resolution scheme has been employed on the plasma fluid equations, where in particular, we test its ability to handle a coupled fluid-Poisson system and also, we examine its performance on very long time integrations involving thousands of time steps. As a check on the accuracy of the modified scheme we perform tests on a shock capturing problem in a Broadwell gas, and in both cases, the results obtained are compared with those from previously reported schemes.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:69:y:2005:i:5:p:457-466
    DOI: 10.1016/j.matcom.2005.03.010
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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.
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    Cited by:

    1. 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.

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    1. 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.

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