WSEAS Transactions on Fluid Mechanics
Print ISSN: 1790-5087, E-ISSN: 2224-347X
Volume 7, 2012
MGD Application to a Blunt Body in Two-Dimensions
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Abstract: In this paper, the Euler and Navier-Stokes equations are solved, according to a finite volume formulation and symmetrical structured discretization, applied to the problem of a blunt body in two-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 the Jameson and Mavriplis scheme is employed, an increase in the shock standoff distance is observed, which guarantees a minor increase in the temperature at the blunt body nose, and a minor increase in the drag aerodynamic coefficient.
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Keywords: Euler and Navier-Stokes equations, Magnetogasdynamics formulation, MacCormack algorithm, Jameson and Mavriplis algorithm, Finite volumes, Two-dimensional space