A fully implicit scheme for simulating ionized gas flows using the gas dynamics electrodynamics coupled system

作者: Konstantinos T. Panourgias , John A. Ekaterinaris

DOI: 10.1002/FLD.3956

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摘要: SUMMARY The flow of ionized gases under the influence electromagnetic fields is governed by coupled system compressible equations and Maxwell equations. In this system, coupling with field obtained through nonlinear stiff source terms, which may cause difficulties numerical solution system. The discontinuous Galerkin finite element method used for For magnetic vector, discretization performed using a divergence-free vector base to preserve zero divergence in retain implicit constraint down very low level both globally locally. To circumvent resulting from presence time marching fully avoid wrong wave shapes propagation speeds that are when terms lagged or splitting iterative schemes. Numerical solutions benchmark problems computed on collocated meshes variables monolithic approach showed good agreement other exact results. Copyright © 2014 John Wiley & Sons, Ltd.

参考文章(52)
WILLIA M. B. BUSH, The Stagnation-Point Boundary Layer in the Presence of an Applied Magnetic Field Journal of the Aerospace Sciences. ,vol. 28, pp. 610- 611 ,(1961) , 10.2514/8.9114
WILLIAM B. BUSH, Magnetohydrodynamic-Hypersonic Flow Past a Blunt Body Journal of the Aerospace Sciences. ,vol. 25, pp. 685- 690 ,(1958) , 10.2514/8.7845
Bo-nan Jiang, Jie Wu, L.A. Povinelli, The Origin of Spurious Solutions in Computational Electromagnetics Journal of Computational Physics. ,vol. 125, pp. 104- 123 ,(1996) , 10.1006/JCPH.1996.0082
John A. Ekaterinaris, High-Order Numerical Method for Magnetohydrodynamic Control of Shock-Induced Separation AIAA Journal. ,vol. 48, pp. 2781- 2792 ,(2010) , 10.2514/1.45526
Domenico Giordano, Hypersonic-Flow Governing Equations with Electromagnetic Files 33rd Plasmadynamics and Lasers Conference. ,(2002) , 10.2514/6.2002-2165
Dinshaw S. Balsara, Divergence-free reconstruction of magnetic fields and WENO schemes for magnetohydrodynamics Journal of Computational Physics. ,vol. 228, pp. 5040- 5056 ,(2009) , 10.1016/J.JCP.2009.03.038
F. Assous, P. Degond, E. Heintze, P.A. Raviart, J. Segre, On a finite-element method for solving the three-dimensional Maxwell equations Journal of Computational Physics. ,vol. 109, pp. 222- 237 ,(1993) , 10.1006/JCPH.1993.1214
Bernardo Cockburn, San-Yih Lin, Chi-Wang Shu, TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems Journal of Computational Physics. ,vol. 84, pp. 90- 113 ,(1989) , 10.1016/0021-9991(89)90183-6