A numerical technique for the solution of the compressible flow equations over unstructured grids in a spherical reference is presented. The proposed approach is based on a mixed finite volume/finite element discretization in space. Equivalence conditions relating the finite volume and the finite element metrics in spherical coordinates are derived. Numerical simulations of the explosion and implosion problems for inviscid compressible flows are carried out to evaluate the correctness of the numerical scheme and compare fairly well to one-dimensional simulations over very fine grids.

Equivalence Conditions for the Finite Volume and Finite Element Methods in Spherical Coordinates

GUARDONE, ALBERTO MATTEO ATTILIO
2014-01-01

Abstract

A numerical technique for the solution of the compressible flow equations over unstructured grids in a spherical reference is presented. The proposed approach is based on a mixed finite volume/finite element discretization in space. Equivalence conditions relating the finite volume and the finite element metrics in spherical coordinates are derived. Numerical simulations of the explosion and implosion problems for inviscid compressible flows are carried out to evaluate the correctness of the numerical scheme and compare fairly well to one-dimensional simulations over very fine grids.
2014
Compressible flows; Shock waves; Explosion/implosion problem; Spherical coordinates; Finite element/volume methods
File in questo prodotto:
File Dimensione Formato  
DESAD02-14.pdf

Accesso riservato

: Publisher’s version
Dimensione 3.09 MB
Formato Adobe PDF
3.09 MB Adobe PDF   Visualizza/Apri
DESAD_OA_02-14.pdf

Open Access dal 02/01/2017

Descrizione: Paper open access
: Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione 3.02 MB
Formato Adobe PDF
3.02 MB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/663612
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 1
social impact