Numerical solution of compressible viscous MHD equations with chemical kinetics

Prasanta Deb, Ramesh K. Agarwal

Research output: Contribution to conferencePaperpeer-review

3 Scopus citations


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 (N2, O2, 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 languageEnglish
StatePublished - 2002
Event40th AIAA Aerospace Sciences Meeting and Exhibit 2002 - Reno, NV, United States
Duration: Jan 14 2002Jan 17 2002


Conference40th AIAA Aerospace Sciences Meeting and Exhibit 2002
Country/TerritoryUnited States
CityReno, NV


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