Vorticity jumps across shock surfaces

D. Blackmore; L. Ting

doi:10.1016/B978-008044046-0.50207-4

Vorticity jumps across shock surfaces

D. Blackmore
, L. Ting

Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Chapter

1 Scopus citations

Abstract

We study the passage of a flow field, which may be rotational and possibly contain a vortex filament or vortex sheet or both, through a smooth shock front (surface) of finite strength in three-dimensional space. In particular, simple equations are derived for the changes in entropy gradients and jumps in vorticity across a shock, which can be used for improving and benchmarking error estimates of numerical schemes.

Original language	English (US)
Title of host publication	Computational Fluid and Solid Mechanics 2003
Publisher	Elsevier Inc.
Pages	847-849
Number of pages	3
ISBN (Electronic)	9780080529479
ISBN (Print)	9780080440460
DOIs	https://doi.org/10.1016/B978-008044046-0.50207-4
State	Published - Jun 2 2003

All Science Journal Classification (ASJC) codes

General Engineering

Keywords

Crocco equation
Entropy
Shock front and curvature
Vorticity

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10.1016/B978-008044046-0.50207-4

Cite this

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abstract = "We study the passage of a flow field, which may be rotational and possibly contain a vortex filament or vortex sheet or both, through a smooth shock front (surface) of finite strength in three-dimensional space. In particular, simple equations are derived for the changes in entropy gradients and jumps in vorticity across a shock, which can be used for improving and benchmarking error estimates of numerical schemes.",

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AU - Ting, L.

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N2 - We study the passage of a flow field, which may be rotational and possibly contain a vortex filament or vortex sheet or both, through a smooth shock front (surface) of finite strength in three-dimensional space. In particular, simple equations are derived for the changes in entropy gradients and jumps in vorticity across a shock, which can be used for improving and benchmarking error estimates of numerical schemes.

AB - We study the passage of a flow field, which may be rotational and possibly contain a vortex filament or vortex sheet or both, through a smooth shock front (surface) of finite strength in three-dimensional space. In particular, simple equations are derived for the changes in entropy gradients and jumps in vorticity across a shock, which can be used for improving and benchmarking error estimates of numerical schemes.

KW - Crocco equation

KW - Entropy

KW - Shock front and curvature

KW - Vorticity

UR - https://www.scopus.com/pages/publications/84941655924

UR - https://www.scopus.com/pages/publications/84941655924#tab=citedBy

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DO - 10.1016/B978-008044046-0.50207-4

M3 - Chapter

AN - SCOPUS:84941655924

SN - 9780080440460

SP - 847

EP - 849

BT - Computational Fluid and Solid Mechanics 2003

PB - Elsevier Inc.

ER -

Vorticity jumps across shock surfaces

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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