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Proposing Institution

Lehrstuhl für Aerodynamik, TU München
Project Manager

Felix Diegelmann
Boltzmannstr. 15
85747 Garching
The Richtmyer-Meshkov instability (RMI) occurs when the perturbed interface between two fluids with different densities is accelerated impulsively, e.g. by a shock wave. Therefore it is considered as the impulsive limit of the Rayleigh-Taylor instability (RTI). A fundamental understanding of the physics that are driving the mixing process induced by RMI are of crucial importance for many natural and man-made phenomena. The RMI is the reason for the lack of stratification of the supernova 1987a. In engineering application the RMI mechanism is used to enhance the mixing process of fuel with its oxidator.Most published numerical investigations of the RMI are based on solving the Euler equations in two space dimensions and less frequently in three dimensions. Thereby the RMI is often assumed to be a single-species problem as solving the multi-species equations leads to severe numerical difficulties. The so far limited success in predicting the correct turbulent mixing process during the RMI's later stages in comparison with experimental findings, motivates us to conduct simulations with enhanced and more detailed numerical and physical models. Therefore the full set of three-dimensional multi-species equations is solved.In the proposed project we plan to study the Richtmyer-Meshkov induced mixing process using detailed numerical simulations of the so-called shock-cylinder interaction case.The project also aims at deepening the understanding of three-dimensional Richtmyer-Meshkov induced multi-species mixing processes and to systematically investigate the influence of three-dimensional effects on the mixing process. The results are also intended to serve as a benchmark for forthcoming investigations using different numerical models. A preliminary two-dimensional investigation that has been submitted to Physica Scripta proved already the capability of our present implementation.

Impressum, Conny Wendler