Isogeometric analysis of Lagrangian hydrodynamics


Journal Article

Isogeometric analysis of Lagrangian shock hydrodynamics is proposed. The Euler equations of compressible hydrodynamics in the weak form are discretized using Non-Uniform Rational B-Splines (NURBS) in space. The discretization has all the advantages of a higher-order method, with the additional benefits of exact symmetry preservation and better per-degree-of-freedom accuracy. An explicit, second-order accurate time integration procedure, which conserves total energy, is developed and employed to advance the equations in time. The performance of the method is examined on a set of standard 2D and 3D benchmark examples, where good quality of the computational results is attained. © 2013 Elsevier Inc.

Full Text

Duke Authors

Cited Authors

  • Bazilevs, Y; Akkerman, I; Benson, DJ; Scovazzi, G; Shashkov, MJ

Published Date

  • June 5, 2013

Published In

Volume / Issue

  • 243 /

Start / End Page

  • 224 - 243

Electronic International Standard Serial Number (EISSN)

  • 1090-2716

International Standard Serial Number (ISSN)

  • 0021-9991

Digital Object Identifier (DOI)

  • 10.1016/

Citation Source

  • Scopus