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

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 (US)
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
Externally published	Yes

Keywords

Error analysis
Instability
Mixing
Shock wave
Spherical geometry

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.na.2004.10.002

Cite this

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title = "Shock wave interactions in spherical and perturbed spherical geometries",

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",

note = "Funding Information: Supported in part by the US Department of Energy, including Grants DE-AC02-98CH10886, DE-FG02-90ER25084, DE-FG03-98DP00206, and DEFC02-01ER25461, the NSF Grant DMS-0102480, and the Army Research Office Grant DAAD-190110642. ",

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doi = "10.1016/j.na.2004.10.002",

language = "English (US)",

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journal = "Nonlinear Analysis, Theory, Methods and Applications",

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TY - JOUR

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.

N1 - Funding Information: Supported in part by the US Department of Energy, including Grants DE-AC02-98CH10886, DE-FG02-90ER25084, DE-FG03-98DP00206, and DEFC02-01ER25461, the NSF Grant DMS-0102480, and the Army Research Office Grant DAAD-190110642.

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

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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

ASJC Scopus subject areas

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