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; K. Ye; Y. Yu; Y. Zhang; M. Zhao

doi:10.1016/j.na.2004.10.002

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
, K. Ye
, Y. Yu
, Y. Zhang
, M. Zhao

Applied Mathematics and Statistics

Stony Brook University
Los Alamos National Laboratory

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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 language	English
Pages (from-to)	644-652
Number of pages	9
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	63
Issue number	5-7
DOIs	https://doi.org/10.1016/j.na.2004.10.002
State	Published - Nov 30 2005

Keywords

Error analysis
Instability
Mixing
Shock wave
Spherical geometry

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10.1016/j.na.2004.10.002

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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.",

keywords = "Error analysis, Instability, Mixing, Shock wave, Spherical geometry",

author = "S. Dutta and E. George and J. Glimm and Grove, \{J. W.\} and H. Jin and T. Lee and X. Li and Sharp, \{D. H.\} and K. Ye and Y. Yu and Y. Zhang and M. Zhao",

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T1 - Shock wave interactions in spherical and perturbed spherical geometries

AU - Dutta, S.

AU - George, E.

AU - Glimm, J.

AU - Grove, J. W.

AU - Jin, H.

AU - Lee, T.

AU - Li, X.

AU - Sharp, D. H.

AU - Ye, K.

AU - Yu, Y.

AU - Zhang, Y.

AU - Zhao, M.

PY - 2005/11/30

Y1 - 2005/11/30

N2 - 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.

AB - 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.

KW - Error analysis

KW - Instability

KW - Mixing

KW - Shock wave

KW - Spherical geometry

UR - https://www.scopus.com/pages/publications/28044448526

U2 - 10.1016/j.na.2004.10.002

DO - 10.1016/j.na.2004.10.002

M3 - Article

AN - SCOPUS:28044448526

SN - 0362-546X

VL - 63

SP - 644

EP - 652

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 5-7

ER -

Shock wave interactions in spherical and perturbed spherical geometries

Abstract

Keywords

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