Node-pair finite volume/finite element schemes for the Euler equation in cylindrical and spherical coordinates

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:236

Article

De Santis, D.²  Geraci, G.²  Guardone, A.¹ 

[1] Politecn Milan, Dipartimento Ingn Aerosp, I-20156 Milan, Italy

[2] INRIA Bordeaux Sud Ouest, Equipe Projet Bacchus, Cours Liberat, F-33405 Talence, France

关键词: Compressible flows;    Cylindrical coordinates;    Spherical coordinates;    Explosions;    Implosions;    Finite element/volume methods;   

DOI  :  10.1016/j.cam.2012.02.006

来源: Elsevier

【 摘 要 】

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. (C) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

Free