A numerical scheme is presented for the solution of the compressible Euler equations over unstructured grids in cylindrical and spherical coordinates. The proposed scheme is based on a mixed finite volume / finite element approach. Numerical simulations are presented for the explosion problem in two spatial dimensions in cylindrical and spherical coordinates, and the numerical results are compared with the one-dimensional simulation for cylindrically and spherically symmetric explosions.

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

GUARDONE, ALBERTO MATTEO ATTILIO
2011-01-01

Abstract

A numerical scheme is presented for the solution of the compressible Euler equations over unstructured grids in cylindrical and spherical coordinates. The proposed scheme is based on a mixed finite volume / finite element approach. Numerical simulations are presented for the explosion problem in two spatial dimensions in cylindrical and spherical coordinates, and the numerical results are compared with the one-dimensional simulation for cylindrically and spherically symmetric explosions.
2011
IV International Conference on Computational Methods for Coupled Problems in Science and Engineering: Coupled Problems 2011 - ECCOMAS Thematic Conference
9788487867590
Compressible flows; Cylindrical/Spherical coordinates; Explosion problem; Finite element/volume methods
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/592089
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