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Isogeometric analysis of Lagrangian hydrodynamics

Publication ,  Journal Article
Bazilevs, Y; Akkerman, I; Benson, DJ; Scovazzi, G; Shashkov, MJ
Published in: Journal of Computational Physics
June 5, 2013

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.

Duke Scholars

Published In

Journal of Computational Physics

DOI

EISSN

1090-2716

ISSN

0021-9991

Publication Date

June 5, 2013

Volume

243

Start / End Page

224 / 243

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Bazilevs, Y., Akkerman, I., Benson, D. J., Scovazzi, G., & Shashkov, M. J. (2013). Isogeometric analysis of Lagrangian hydrodynamics. Journal of Computational Physics, 243, 224–243. https://doi.org/10.1016/j.jcp.2013.02.021
Bazilevs, Y., I. Akkerman, D. J. Benson, G. Scovazzi, and M. J. Shashkov. “Isogeometric analysis of Lagrangian hydrodynamics.” Journal of Computational Physics 243 (June 5, 2013): 224–43. https://doi.org/10.1016/j.jcp.2013.02.021.
Bazilevs Y, Akkerman I, Benson DJ, Scovazzi G, Shashkov MJ. Isogeometric analysis of Lagrangian hydrodynamics. Journal of Computational Physics. 2013 Jun 5;243:224–43.
Bazilevs, Y., et al. “Isogeometric analysis of Lagrangian hydrodynamics.” Journal of Computational Physics, vol. 243, June 2013, pp. 224–43. Scopus, doi:10.1016/j.jcp.2013.02.021.
Bazilevs Y, Akkerman I, Benson DJ, Scovazzi G, Shashkov MJ. Isogeometric analysis of Lagrangian hydrodynamics. Journal of Computational Physics. 2013 Jun 5;243:224–243.
Journal cover image

Published In

Journal of Computational Physics

DOI

EISSN

1090-2716

ISSN

0021-9991

Publication Date

June 5, 2013

Volume

243

Start / End Page

224 / 243

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences