Damping of mesh-induced errors in Free-Lagrange simulations of Richtmyer-Meshkov instability |
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Authors: | BP Howell GJ Ball |
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Institution: | (1) Department of Aeronautics and Astronautics, University of Southampton, Hants, SO17 1BJ, UK, GB |
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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.
Received 9 March 2000 / Accepted 30 May 2000 |
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Keywords: | : Free-Lagrange method Richtmyer-Meshkov instability numerical simulation mesh-induced errors |
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