WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
MGD Unstructured 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 unstructured 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 Jameson and Mavriplis symmetrical scheme is 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. Effective gains in terms of convergence acceleration are observed with this technique (see Maciel). The results have proved that, when the Jameson and Mavriplis scheme is employed with an unstructured alternated discretization, better contours of proprieties are obtained (see Maciel). Moreover, an increase in the shock standoff distance is observed, which guarantees a minor increase in the temperature at the blunt body nose (minor armour problems), and a minor increase in the drag aerodynamic coefficient.
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Keywords: Euler and Navier-Stokes equations, Magnetogasdynamics formulation, Jameson and Mavriplis algorithm, Unstructured spatial discretization, Finite volumes, Two-dimensional space