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Plasma accelerator simulations using semi-lagrangian 1D and 2D Vlasov code

  • Plasma And Gravitation
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Dynamical Systems, Plasmas and Gravitation

Part of the book series: Lecture Notes in Physics ((LNP,volume 518))

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Abstract

A semi-lagrangian relativistic Vlasov model is described for a hierarchy of applications of increasing complexity, in one and two dimensions. Attention is focused on its accuracy, stability, efficiency properties and implementation facilities on massively parallel computers. Such a code provides good resolution all over phase space, including very low density regions where Particles-In-Cell PIC codes simply run out of particles for which to compute. Recent developments in applying semi-lagrangian Vlasov codes to 1D and 2D problems in an electromagnetic regime (including Forward Raman Scattering and Relativistic Modulational Instability) are then reviewed.

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References

  • Akhiezer, A.I., Polovin, R.V. (1956): Theory of wave motion of an electron plasma. Sov. Phys, JETP 3, 696–705

    MATH  MathSciNet  Google Scholar 

  • Kaw, P., Dawson, J. (1970): Relativistic nonlinear propagation of laser beams in clod overdense plasmas. Phys. Fluids 13, 472–483

    Article  ADS  Google Scholar 

  • Bertrand, P., Ghizzo, A., Johnston, T.W., Shoucri, M., Fijalkow, E., Feix, M.R. (1990): A nonperiodic Euler-Vlasov code for the numerical simulation of laser-plasma beatwave acceleration and Raman Scattering. Phys. Fluids B 2 (5), 1028–1037

    Article  ADS  Google Scholar 

  • Dawson, J.M. (1959): Nonlinear electron oscillations in a cold plasma. Phys. Rev 113, 383–387

    Article  MATH  ADS  MathSciNet  Google Scholar 

  • Dawson, J.M., Sheng, Z.M., meyer-ter-Vehn, T. (1997): Relativistic wave breaking in warm plasmas. Phys. Plasmas 4 (2), 493–495

    Article  ADS  Google Scholar 

  • Gagné, R.J., Shoucri, M. (1977): A splitting scheme for the numerical solution of the one-dimensional Vlasov equation. J. Comp. Phys. 24, 445–449

    Article  MATH  ADS  Google Scholar 

  • Ghizzo, A., Bertrand, P., Lebas, J., Johnston, T.W., Shoucri, M. (1996): A hybrid Eulerian Vlasov code. Study of high frequency beatwave experiment in a finite casual system. Phys. Plasmas 3 (2), 650–668

    Article  ADS  Google Scholar 

  • Ghizzo, A., Bertrand, P., Shoucri, M., Johnston, T.W., Fijalkow, E., Feix, M.R. (1990): A Vlasov code for the numerical simulation of stimulated Raman scattering. J. Comp. Phys. 90 (2), 431–457

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • Guérin, S., Laval, G., Mora, P., Adam, J.C., Héron, A., Bendib, A. (1995): Phys. Plasmas 2 (7), 2807–2814

    Article  ADS  Google Scholar 

  • Johnston, T.W., Bertrand, P., Ghizzo, A., Shoucri, M., Fijalkow, E., Feix, M.R. (1992): Stimulated Raman Scattering: action evolution and particle trapping via Euler-Vlasov fluid simulation. Phys. Fluids B 4 (8), 2523–2537

    Article  ADS  Google Scholar 

  • Knor, G., Cheng, C.G. (1976): Integration of the Vlasov equation in configuration space. J. Comp. Phys. 22, 330–351

    Article  ADS  Google Scholar 

  • Staniforth, A., Coté, J. (1991): Semi-lagranfian integration schemes for atmospheric models. Monthly Weather Review 119, 2206–2223

    Article  ADS  Google Scholar 

  • Tajima, T., Dawson, J.M. (1979): Laser electron accelerator. Phys. Rev. Lett. 43, 267–270

    Article  ADS  Google Scholar 

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P. G. L. Leach S. E. Bouquet J.-L. Rouet E. Fijalkow

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© 1999 Springer-Verlag

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Ghizzo, A., Bertrand, P., Bégué, ML. (1999). Plasma accelerator simulations using semi-lagrangian 1D and 2D Vlasov code. In: Leach, P.G.L., Bouquet, S.E., Rouet, JL., Fijalkow, E. (eds) Dynamical Systems, Plasmas and Gravitation. Lecture Notes in Physics, vol 518. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105910

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  • DOI: https://doi.org/10.1007/BFb0105910

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65467-4

  • Online ISBN: 978-3-540-49251-1

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