WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
MGD Application to a Blunt Body in Three-Dimensions
Authors: ,
Abstract: In this paper, the Euler and Navier-Stokes equations are solved, according to the finite volume formulation and symmetrical structured discretization, applied to the problem of a blunt body in three-dimensions. The work of Gaitonde is the reference one to present the fluid dynamics and Maxwell equations of electromagnetism based on a conservative and finite volume formalisms. The MacCormack and the Jameson and Mavriplis symmetrical schemes are applied to solve the conserved equations. Two types of numerical dissipation models are applied, namely: Mavriplis and Azevedo. A spatially variable time step procedure is employed aiming to accelerate the convergence of the numerical schemes to the steady state solution. The results have proved that, when an induced magnetic field is imposed, an increase in the shock standoff distance is observed, which guarantees a minor increase in the temperature at the blunt body nose.
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Keywords: Euler and Navier-Stokes equations, Maxwell equations, Magnetogasdynamics formulation, MacCormack algorithm, Jameson and Mavriplis algorithm, Three-dimensions, Finite volumes