Lattice Boltzmann formulation for Braginskii magnetohydrodynamics

作者: Paul J. Dellar

DOI: 10.1016/J.COMPFLUID.2010.12.004

关键词:

摘要: Braginskii magnetohydrodynamics is a single-fluid description of large-scale motions in strongly magnetised plasma, one which the ion gyroradius much smaller than mean free path between collisions an unmagnetised plasma same density and temperature. The relation stress strain rate then becomes highly anisotropic, with viscous being predominantly aligned parallel to magnetic field lines. We modify existing lattice Boltzmann formulation isotropic resistive simulate by introducing anisotropic collision operator for hydrodynamic distribution functions. This applies different relaxation time component directed field. method illustrated comparison independent numerical solutions steady planar channel flows.

参考文章(26)
Radu Balescu, Transport Processes in Plasmas ,(1989)
Braginski, Transport Processes in a Plasma Reviews of Plasma Physics. ,(1965)
Harold Grad, Principles of the Kinetic Theory of Gases HDP. ,vol. 3, pp. 205- 294 ,(1958) , 10.1007/978-3-642-45892-7_3
T. G. Cowling, Sydney Chapman, David Park, The mathematical theory of non-uniform gases ,(1939)
M.J. Pattison, K.N. Premnath, N.B. Morley, M.A. Abdou, Progress in lattice Boltzmann methods for magnetohydrodynamic flows relevant to fusion applications Fusion Engineering and Design. ,vol. 83, pp. 557- 572 ,(2008) , 10.1016/J.FUSENGDES.2007.10.005
Paul J. Dellar, Lattice Kinetic Schemes for Magnetohydrodynamics Journal of Computational Physics. ,vol. 179, pp. 95- 126 ,(2002) , 10.1006/JCPH.2002.7044
C. M. Care, I. Halliday, K. Good, S. V. Lishchuk, Generalized lattice Boltzmann algorithm for the flow of a nematic liquid crystal with variable order parameter Physical Review E. ,vol. 67, pp. 061703- 061703 ,(2003) , 10.1103/PHYSREVE.67.061703
Lyman Spitzer, Physics of fully ionized gases ,(1957)
Xiaoyi He, Shiyi Chen, Gary D. Doolen, A Novel Thermal Model for the Lattice Boltzmann Method in Incompressible Limit Journal of Computational Physics. ,vol. 146, pp. 282- 300 ,(1998) , 10.1006/JCPH.1998.6057