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Small Amplitude Theory of Richtmyer—Meshkov Instability in Cylindrical and Spherical Geometries

Small Amplitude Theory of Richtmyer—Meshkov Instability in Cylindrical and Spherical Geometries In this paper we formulate the linear theory for compressible fluids in spherical geometry. We derive the first-order equations in the smooth regions, boundary conditions at the shock fronts and the contact interface by linearizing the Euler equations and Rankine—Hugoniot conditions. This formulation can be used for the computation of the linear theory in spherical and cylindrical geometries. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Small Amplitude Theory of Richtmyer—Meshkov Instability in Cylindrical and Spherical Geometries

Kim, Ju
Acta Applicandae Mathematicae , Volume 82 (2) – Oct 6, 2004
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References (14)

Publisher
Springer Journals
Copyright
Copyright © 2004 by Kluwer Academic Publishers
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1023/B:ACAP.0000027535.39539.2f
Publisher site
See Article on Publisher Site

Abstract

In this paper we formulate the linear theory for compressible fluids in spherical geometry. We derive the first-order equations in the smooth regions, boundary conditions at the shock fronts and the contact interface by linearizing the Euler equations and Rankine—Hugoniot conditions. This formulation can be used for the computation of the linear theory in spherical and cylindrical geometries.

Journal

Acta Applicandae Mathematicae – Springer Journals

Published: Oct 6, 2004

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