Abstract
We introduce a direct formulation of the linearisation of a non- linear hyperbolic system of conservation laws at a discontinuous solution. In this formulation, the solution of the linearised Cauchy problem is to be found in a space of measures. We give a numerical scheme of solution of this Cauchy problem based on a Roe linearisation and we apply it to study the linear phase of the Richtmyer-Meshkov instability in Lagrangian coordinates.
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Godlewski, E., Olazabal, M., Raviart, PA. (2001). A Godunov-Type Method for Studying the Linearised Stability of a Flow. Application to the Richtmyer-Meshkov Instability. In: Toro, E.F. (eds) Godunov Methods. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-0663-8_38
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DOI: https://doi.org/10.1007/978-1-4615-0663-8_38
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