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An Integrated Computational Tool for Hypersonic Flow Simulation

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Technical rept. Jun 1999-Sep 2004

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The development of a computational tool for the solution of turbulent magnetohydrodynamic MHD equations, including turbulence or chemically reacting flows is presented. For the MHD solver, option is provided to solve either the full MHD equations or the low magnetic Reynolds number equations. For turbulence, the Reynolds Averaged approach is considered for its low requirement in terms of computational resources. Six turbulence models, ranging from simple algebraic model to more sophisticated two-equation models are considered to evaluate the eddy viscosity. Since the turbulence models were originally designed for non-magnetic flows, they require some modifications to account for the presence of a magnetic field. The governing equations are numerically solved by a modified Runge-Kutta scheme augmented with a Total Variation Diminishing scheme for accurate shock capturing. The numerical solutions are compared with available experimental data and existing analytical solutions. For the simulation of hypersonic high-temperature effects, two chemical models are utilized, namely a nonequilibrium model and an equilibrium model. A loosely coupled approach is implemented to communicate between the magnetogasdynamic equations and the chemical models. The nonequilibrium model is a one-temperature, five-species, seventeen-reaction model solved by an implicit flux-vector splitting scheme. The effectiveness of the chemical models for hypersonic flow over blunt body is examined in various flow conditions. It is shown that the proposed schemes perform well in a variety of test cases, though some limitations have been identified.

Subject Categories:

  • Fluid Mechanics
  • Plasma Physics and Magnetohydrodynamics

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