On shock polar analysis and analytical expressions for vorticity deposition in shock-accelerated density-stratified interfaces

Ravi Samtaney; Norman J. Zabusky

doi:10.1063/1.858618

On shock polar analysis and analytical expressions for vorticity deposition in shock-accelerated density-stratified interfaces

Ravi Samtaney^*, Norman J. Zabusky

^*Corresponding author for this work

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

30 Scopus citations

Abstract

Vorticity is deposited due to baroclinic effects on the surface of a density-stratified interface accelerated by a shock. An analytical expression is presented, derived from shock polar analysis, for circulation per unit length on a fast-slow planar density interface inclined at an angle to the incident shock. The analytical expression is integrated to yield total circulation on nonplanar interfaces (sinusoidal and semicircular interfaces) accelerated by shocks. The analytical results agree well with diagnostics from numerical experiments using a second-order Godunov code for the Euler equations.

Original language	English (US)
Pages (from-to)	1285-1287
Number of pages	3
Journal	Physics of Fluids A
Volume	5
Issue number	6
DOIs	https://doi.org/10.1063/1.858618
State	Published - 1992
Externally published	Yes

ASJC Scopus subject areas

General Engineering

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title = "On shock polar analysis and analytical expressions for vorticity deposition in shock-accelerated density-stratified interfaces",

abstract = "Vorticity is deposited due to baroclinic effects on the surface of a density-stratified interface accelerated by a shock. An analytical expression is presented, derived from shock polar analysis, for circulation per unit length on a fast-slow planar density interface inclined at an angle to the incident shock. The analytical expression is integrated to yield total circulation on nonplanar interfaces (sinusoidal and semicircular interfaces) accelerated by shocks. The analytical results agree well with diagnostics from numerical experiments using a second-order Godunov code for the Euler equations.",

author = "Ravi Samtaney and Zabusky, {Norman J.}",

year = "1992",

doi = "10.1063/1.858618",

language = "English (US)",

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pages = "1285--1287",

journal = "Physics of Fluids A",

issn = "0899-8213",

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T1 - On shock polar analysis and analytical expressions for vorticity deposition in shock-accelerated density-stratified interfaces

AU - Samtaney, Ravi

AU - Zabusky, Norman J.

PY - 1992

Y1 - 1992

N2 - Vorticity is deposited due to baroclinic effects on the surface of a density-stratified interface accelerated by a shock. An analytical expression is presented, derived from shock polar analysis, for circulation per unit length on a fast-slow planar density interface inclined at an angle to the incident shock. The analytical expression is integrated to yield total circulation on nonplanar interfaces (sinusoidal and semicircular interfaces) accelerated by shocks. The analytical results agree well with diagnostics from numerical experiments using a second-order Godunov code for the Euler equations.

AB - Vorticity is deposited due to baroclinic effects on the surface of a density-stratified interface accelerated by a shock. An analytical expression is presented, derived from shock polar analysis, for circulation per unit length on a fast-slow planar density interface inclined at an angle to the incident shock. The analytical expression is integrated to yield total circulation on nonplanar interfaces (sinusoidal and semicircular interfaces) accelerated by shocks. The analytical results agree well with diagnostics from numerical experiments using a second-order Godunov code for the Euler equations.

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U2 - 10.1063/1.858618

DO - 10.1063/1.858618

M3 - Article

AN - SCOPUS:36449002780

SN - 0899-8213

VL - 5

SP - 1285

EP - 1287

JO - Physics of Fluids A

JF - Physics of Fluids A

IS - 6

ER -

On shock polar analysis and analytical expressions for vorticity deposition in shock-accelerated density-stratified interfaces

Abstract

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