Open Access
Volume 53, Number 2, March-April 2019
Page(s) 701 - 728
Published online 29 May 2019
  1. K. Asano, On the incompressible limit of the compressible euler equation. Jpn. J. Appl. Math 4 (1987) 455–488. [CrossRef] [MathSciNet] [Google Scholar]
  2. M. Badsi, M. Campos Pinto, B. Déspres, A minimization formulation of a bi-kinetic sheath. Kinet. Relat. Mod. 9 (2016) 621–656. [CrossRef] [Google Scholar]
  3. G. Bispen, M. Lukacova-Medvidova, L. Yelsh, Asymptotic preserving IMEX finite volume schemes for low mach number euler equations with gravitation. J. Comput. Phys. 335 (2017) 222–248. [Google Scholar]
  4. F.F. Chen, Introduction to Plasma Physics and Controlled Fusion. Springer, Berlin (1984). [CrossRef] [Google Scholar]
  5. P. Crispel, P. Degond, M.-H. Vignal, An asymptotic preserving scheme for the two-fluid euler poisson model in the quasineutral limit. J. Comput. Phys. 223 (2007) 208–234. [Google Scholar]
  6. P. Degond, F. Deluzet, A. Sangam, M.-H. Vignal, An asymptotic-preserving scheme for the euler equations in a strong magnetic field. J. Comput. Phys. 228 (2009) 3540–3558. [Google Scholar]
  7. F. Deluzet, M. Ottaviani, S. Possaner, A drift-asymptotic scheme for a fluid description of plasmas in strong magnetic fields. Comput. Phys. Commun. 219 (2017) 164–177. [Google Scholar]
  8. G. Dimarco, R. Loubère, M.-H. Vignal, Study of a new asymptotic preserving scheme for the euler system in the low mach number limit. SIAM J. Sci. Comput. 39 (2017) A2099–A2128. [Google Scholar]
  9. T.F. Riemann, Solvers and Numerical Methods for Fluid Dynamics. Springer-Verlag, Berlin (1997). [Google Scholar]
  10. F. Filbet, S. Jin, An asymptotic-preserving scheme for the ES-BGK model of the boltzmann equation. J. Sci. Comput. 46 (2011) 204–224. [Google Scholar]
  11. L. Gastaldo, R. Herbin, J.-C. Latché, A discretization of the phase mass balance in fractional step algorithms for the drift-flux model. IMA J. Numer. Anal. 31 (2011) 116–146. [CrossRef] [Google Scholar]
  12. D. Grapsas, R. Herbin, W. Kheriji, J.-C. Latché, An unconditionnaly stable staggered pressure correction scheme for the compressible navier-stokes equations. J. Comput. Math. 2 (2016) 51–97. [Google Scholar]
  13. H. Guillard, C. Viozat, On the behavior of upwind schemes in the low Mach number limit. Comput. Fluids 28 (1999) 63–86. [Google Scholar]
  14. R. Hazeltine, J. Meiss, Plasma Confinement, Inc. Mineola, New York, NY (2003). [Google Scholar]
  15. J. Jaack, S. Jin, J.-G. Liu, An all-speed asymptotic-preserving method for the isentropic euler and navier-stokes equations. Commun. Comput. Phys. 12 (2012) 955–980. [Google Scholar]
  16. S. Jin, Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms. J. Comput. Phys. 122 (1995) 51–67. [Google Scholar]
  17. S. Jin, Efficient asymptotic-preserving (AP) schemes for some multiscale kinetic equations. SIAM J. Sci. Comput. 21 (1999) 441–154. [Google Scholar]
  18. T. Kato, The cauchy problem for quasi-linear symmetric hyperbolic systems. Ration. Mech. Anal. 58 (1975) 181–205. [CrossRef] [MathSciNet] [Google Scholar]
  19. K. Klainerman, A. Majda, Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids. Commun. Pure Appl. Math. 4 (1981) 481–524. [Google Scholar]
  20. R.J. Leveque, Numerical Methods for Conservation Laws. Birkhauser, Basel (1992). [CrossRef] [Google Scholar]
  21. R.J. Leveque, Finite-Volume Methods for Hyperbolic Problems. Cambridge University Press, Cambridge (2004). [Google Scholar]
  22. A. Majda, Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables. Springer, Berlin (1984). [CrossRef] [Google Scholar]
  23. G. Metivier, S. Schochet, The incompressible limit of the non-isentropic euler equations. Arch. Rational Mech. Anal. 158 (2001) 61–90. [CrossRef] [Google Scholar]
  24. C. Negulescu, S. Possaner, Closure of the strongly-magnetized electron fluid equations in the adiabatic regime. Multi. Model. Simul. 14 (2016) 839–873. [CrossRef] [Google Scholar]
  25. P. Degond, F. Deluzet, C. Negulescu, An asymptotic-preserving scheme for strongly anisotropic problems. Multi. Model. Simul. 8 (2010) 645–666. [CrossRef] [Google Scholar]
  26. P. Degond, M. Tang, All speed scheme for the low mach number limit of the itenstropic euler equations. Commun. Comput. Phys. 10 (2011) 1–31. [Google Scholar]
  27. R. Herbin, J. Latché, T.T. Nguyen, Consistent explicit staggered schemes for the Euler equations. Part II: The Euler equation. Preprint Hal-00821070 (2013). [Google Scholar]
  28. S. Brull, P. Degond, F. Deluzet, A. Mouton, An asymptotic-preserving scheme for a bi-fluid Euler-Lorentz model. Kinet. Relat. Mod. 4 (2011) 991–1023. [Google Scholar]
  29. S. Schochet, The compressible euler equations in a bounded domain: existence of solutions and the incompressible limit. Commun. Math. Phys. 104 (1986) 49–75. [CrossRef] [MathSciNet] [Google Scholar]
  30. P. Stangeby, The Plasma Boundary of Magnetic Fusion Devices. Institute of Physics Publishing, Bristol (2000). [CrossRef] [Google Scholar]
  31. H. Zakerzadeh, On the mach-uniformity of the lagrange-projection scheme. ESAIM: M2AN 51 (2017) 1343–1366. [EDP Sciences] [Google Scholar]

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