Shock wave interactions in spherical and perturbed spherical geometries

S. Dutta, E. George, J. Glimm, J. W. Grove, H. Jin, T. Lee, X. Li, D. H. Sharp, Qian K. Ye, Y. Yu, Y. Zhang, M. Zhao

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The interaction of shock waves with spherical and perturbed spherical layers provides an interesting and important class of problems. We present recent results for these and related planar geometry problems. We address the following issues:The accuracy of different numerical solution methods.The magnitude of numerical solution errors and their causes.The development of the instabilities.Reduced descriptions for chaotic flows.

Original languageEnglish (US)
Pages (from-to)644-652
Number of pages9
JournalNonlinear Analysis, Theory, Methods and Applications
Volume63
Issue number5-7
DOIs
StatePublished - Nov 30 2005
Externally publishedYes

Fingerprint

Spherical geometry
Wave Interaction
Shock Waves
Shock waves
Numerical Solution
Geometry
Interaction
Class

Keywords

  • Error analysis
  • Instability
  • Mixing
  • Shock wave
  • Spherical geometry

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Mathematics(all)

Cite this

Dutta, S., George, E., Glimm, J., Grove, J. W., Jin, H., Lee, T., ... Zhao, M. (2005). Shock wave interactions in spherical and perturbed spherical geometries. Nonlinear Analysis, Theory, Methods and Applications, 63(5-7), 644-652. https://doi.org/10.1016/j.na.2004.10.002

Shock wave interactions in spherical and perturbed spherical geometries. / Dutta, S.; George, E.; Glimm, J.; Grove, J. W.; Jin, H.; Lee, T.; Li, X.; Sharp, D. H.; Ye, Qian K.; Yu, Y.; Zhang, Y.; Zhao, M.

In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 63, No. 5-7, 30.11.2005, p. 644-652.

Research output: Contribution to journalArticle

Dutta, S, George, E, Glimm, J, Grove, JW, Jin, H, Lee, T, Li, X, Sharp, DH, Ye, QK, Yu, Y, Zhang, Y & Zhao, M 2005, 'Shock wave interactions in spherical and perturbed spherical geometries', Nonlinear Analysis, Theory, Methods and Applications, vol. 63, no. 5-7, pp. 644-652. https://doi.org/10.1016/j.na.2004.10.002
Dutta, S. ; George, E. ; Glimm, J. ; Grove, J. W. ; Jin, H. ; Lee, T. ; Li, X. ; Sharp, D. H. ; Ye, Qian K. ; Yu, Y. ; Zhang, Y. ; Zhao, M. / Shock wave interactions in spherical and perturbed spherical geometries. In: Nonlinear Analysis, Theory, Methods and Applications. 2005 ; Vol. 63, No. 5-7. pp. 644-652.
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