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Damping of mesh-induced errors in Free-Lagrange simulations of Richtmyer-Meshkov instability

Damping of mesh-induced errors in Free-Lagrange simulations of Richtmyer-Meshkov instability
Damping of mesh-induced errors in Free-Lagrange simulations of Richtmyer-Meshkov instability
Mesh-induced errors at material interfaces are identified as a source of unphysical behaviour in Lagrangian numerical simulations of Richtmyer-Meshkov instability. The mesh geometry introduces interface perturbations with wavelengths of the same order as the mesh resolution. When a shock propagates through the interface, these perturbations can grow, severely contaminating the predicted interface development.
Here an algorithm is presented which damps small-scale interface perturbations. A body force is applied at the interface which depends upon the disturbance amplitude and growth rate, and which resembles surface tension. Using this technique, qualitative improvements are obtained in Free-Lagrange simulations of single-mode Richtmyer-Meshkov instability. Growth rate behaviour and the evolution of the instability are seen to agree well with previously published results.
free-lagrange method, richtmyer-meshkov instability, numerical simulation, mesh-induced errors
1432-2153
253-264
Howell, B.P.
c0e12cd9-1e81-43f0-9b65-b1e3e2fb3369
Ball, G.J.
2eb541a1-2a56-44c4-8ab1-4ff035fe87b7
Howell, B.P.
c0e12cd9-1e81-43f0-9b65-b1e3e2fb3369
Ball, G.J.
2eb541a1-2a56-44c4-8ab1-4ff035fe87b7

Howell, B.P. and Ball, G.J. (2000) Damping of mesh-induced errors in Free-Lagrange simulations of Richtmyer-Meshkov instability. Shock Waves, 10 (4), 253-264. (doi:10.1007/s001930000055).

Record type: Article

Abstract

Mesh-induced errors at material interfaces are identified as a source of unphysical behaviour in Lagrangian numerical simulations of Richtmyer-Meshkov instability. The mesh geometry introduces interface perturbations with wavelengths of the same order as the mesh resolution. When a shock propagates through the interface, these perturbations can grow, severely contaminating the predicted interface development.
Here an algorithm is presented which damps small-scale interface perturbations. A body force is applied at the interface which depends upon the disturbance amplitude and growth rate, and which resembles surface tension. Using this technique, qualitative improvements are obtained in Free-Lagrange simulations of single-mode Richtmyer-Meshkov instability. Growth rate behaviour and the evolution of the instability are seen to agree well with previously published results.

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More information

Published date: 2000
Keywords: free-lagrange method, richtmyer-meshkov instability, numerical simulation, mesh-induced errors

Identifiers

Local EPrints ID: 21321
URI: http://eprints.soton.ac.uk/id/eprint/21321
ISSN: 1432-2153
PURE UUID: 6a689595-d2fd-4fde-83ae-7dd475598994

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Date deposited: 19 Jul 2006
Last modified: 15 Mar 2024 06:29

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Contributors

Author: B.P. Howell
Author: G.J. Ball

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