Effect of Magnetic Field on the Structure of High-Speed Flows

ADI-SGS scheme on ideal magnetohydrodynamics

“…(9), and DQ n can be obtained from the backward isweep calculation using Eq. (10). The operator in the g and f directions of Eq.…”

“…(9) and (10), the Jacobian matrices have to be evaluated at each cell and matrix operations are required. For the MHD equations, analytical evaluation and operation of these matrices are extremely complex procedures [10]. However, these operations can be eliminated by following approximations [12] …”

“…The detail general curvilinear coordinate transformations of the MHD equations are in Ref. [10]. In an implicit scheme, the righthand side of Eq.…”

Convergence of Chapman-Enskog calculation of transport coefficients of magnetized argon plasma

“…5 For collisional, ideal plasmas, the transport kinetic equation makes use of a collision operator of the Boltzmann form and the associated linear transport theory has been developed by Chapman and Enskog ͑C-E͒. In addition, the interest in magnetized plasma flows arises from the possibility of using an artificially generated magnetic field for the control of the transport properties of the flow around hypersonic vehicles ͑e.g., reduction of the heat flux during atmospheric re-entry͒; 8 therefore, the focus is on typical magnetic field strengths envisaged for these applications ͑i.e., up to few tesla͒. As a matter of fact at least the third approximation of the Chapman-Enskog method must be used for the calculation of the electrical conductivity and translational thermal conductivity of the plasma.…”

Electromagnetic Fluid Dynamics for Aerospace Applications. Part II: Numerical Simulations Using Different Physical Models

“…4,5 Conversely, most numerical methods for computational magneto-fluid dynamics are based on the SMFD model and have been developed following the guidelines coming from CFD methods, as it is demonstrated by the large number of publications where numerical procedures for CMFD are borrowed from different families of CFD methods. [6][7][8][9][10][11][12][13][14][15][16][17][18] In this paper, we present two different numerical methods. The one conceived to solve the full MFD equations is presented in Section II, while the other, which concerns the SMFD system, is described in Section III.…”