## Abstract

During the past several years, the authors have developed a 2-D unsteady compressible viscous magnetohydrodynamics (MHD) code which has been validated for 2-D internal and external flows. The code solves the coupled MHD equations (mass, momentum and energy equations of fluid flow including MHD effects, magnetic induction equations and Maxwell equations) and includes a 7-species (N_{2}, O_{2}, NO, NO^{+}, N, O and e) finite rate chemical kinetics model for dissociated air, several electrical conductivity models, variable viscosity and heat conductivity equations and electron momentum equations. In this paper, this 2-D MHD code with finite rate chemistry is validated against the numerical results of MacCormack. The 2-D MHD code is also extended to 3-D to solve the ideal compressible MHD equations. The governing MHD equations are written in generalized coordinates. In order to solve these equations, a modified four-stage Runge-Kutta time integration scheme with second-order accurate spatial discretization is employed. A symmetric Davis-Yee Total Variation Diminishing (TVD) flux- limiter for 2-D code and a second-order upwind Harten-Yee TVD flux-limiter for 3-D code is employed to damp the oscillations in the shock regions. Numerical simulations are performed for hypersonic flow past a blunt body.

Original language | English |
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State | Published - 2002 |

Event | 40th AIAA Aerospace Sciences Meeting and Exhibit 2002 - Reno, NV, United States Duration: Jan 14 2002 → Jan 17 2002 |

### Conference

Conference | 40th AIAA Aerospace Sciences Meeting and Exhibit 2002 |
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Country/Territory | United States |

City | Reno, NV |

Period | 01/14/02 → 01/17/02 |