DE SANTIS, Dante; GERACI, Gianluca; GUARDONE, Alberto

doi:10.1016/j.cam.2012.02.006

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DE SANTIS, Dante
Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]

GERACI, Gianluca
Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]

GUARDONE, Alberto
Dipartimento di Scienze e Tecnologie Aerospaziali [Milano] [DAER]

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Journal of Computational and Applied Mathematics. 2012-12-01

Elsevier

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A numerical scheme is presented for the solution of the compressible Euler equations in both cylindrical and spherical coordinates. The unstructured grid solver is based on a mixed finite volume/finite element approach. Equivalence conditions linking the node-centered finite volume and the linear Lagrangian finite element scheme over unstructured grids are reported and used to devise a common framework for solving the discrete Euler equations in both the cylindrical and the spherical reference systems. Numerical simulations are presented for the explosion and implosion problems with spherical symmetry, which are solved in both the axial-radial cylindrical coordinates and the radial-azimuthal spherical coordinates. Numerical results are found to be in good agreement with one-dimensional simulations over a fine mesh.< Réduire

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Finite Volume and Finite Element Schemes for the Euler Equation in Cylindrical and Spherical Coordinates

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