Eulerian finite cover method for solid dynamics

Shigenobu Okazawa, Hideyuki Terasawa, Mao Kurumatani, Kenjiro Terada, Kazuo Kashiyama

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


In order to deal with the kinematic and dynamic boundary conditions in the Eulerian framework, we develop an Eulerian finite cover method (FCM) for large deformation solid dynamics by incorporating the approximation strategy of the FCM into the existing Eulerian explicit finite element method. The operator split method is employed to solve Eulerian solid dynamics problems, and the resulting numerical algorithm consists of two steps. One is the nonadvective step, in which the standard Lagrangian FC analysis is carried out with the explicit time integration scheme, and the other is the advective step, in which the CIVA method is applied to project the solution obtained in the nonadvective step to the Eulerian mesh. Two representative numerical examples are presented to validate the proposed Eulerian FCM and demonstrate its capability especially in appropriately treating the kinematic and dynamic boundary conditions.

Original languageEnglish
Pages (from-to)33-54
Number of pages22
JournalInternational Journal of Computational Methods
Issue number1
Publication statusPublished - 2010 Mar


  • Eulerian solid dynamics
  • Explicit time integration
  • Finite cover method
  • Kinematic/dynamic boundary conditions

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Computational Mathematics


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