A vertex centred Finite Volume Jameson-Schmidt-Turkel (JST) algorithm for a mixed conservation formulation in solid dynamics

JOURNAL OF COMPUTATIONAL PHYSICS

卷:259

Article

Aguirre, Miquel¹  Gil, Antonio J.¹  Bonet, Javier¹  Carreno, Aurelio Arranz² 

[1] Swansea Univ, Coll Engn, Civil & Computat Engn Ctr, Swansea SA2 8PP, W Glam, Wales

[2] Swansea Univ, Coll Sci, Dept Math, Swansea SA2 8PP, W Glam, Wales

关键词: Fast dynamics;    Mixed formulation;    Conservation laws;    Mie Gruneisen;    Finite Volume Method;    Vertex centred;    Jameson-Schmidt-Turkel;   

DOI  :  10.1016/j.jcp.2013.12.012

来源: Elsevier

【 摘 要 】

A vertex centred Finite Volume algorithm is presented for the numerical simulation of fast transient dynamics problems involving large deformations. A mixed formulation based upon the use of the linear momentum, the deformation gradient tensor and the total energy as conservation variables is discretised in space using linear triangles and tetrahedra in two-dimensional and three-dimensional computations, respectively. The scheme is implemented using central differences for the evaluation of the interface fluxes in conjunction with the Jameson-Schmidt-Turkel UST) artificial dissipation term. The discretisation in time is performed by using a Total Variational Diminishing (TVD) two-stage Runge-Kutta time integrator. The JST algorithm is adapted in order to ensure the preservation of linear and angular momenta. The framework results in a low order computationally efficient solver for solid dynamics, which proves to be very competitive in nearly incompressible scenarios and bending dominated applications. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free