Extension of geometrical shock dynamics for blast wave propagation
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ORIGINAL ARTICLE
Extension of geometrical shock dynamics for blast wave propagation J. Ridoux1,3 · N. Lardjane1
· L. Monasse2
· F. Coulouvrat3
Received: 23 October 2019 / Revised: 7 June 2020 / Accepted: 11 June 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract The direct numerical simulation of blast waves is a challenging task due to the wide range of spatial and temporal scales involved. Moreover, in a real environment (topography, urban area), the blast wave interacts with geometrical obstacles, resulting in reflection, diffraction, and wave recombination phenomena. The shape of the front becomes complex, which limits the efficiency of simple empirical methods. This work aims at contributing to the development of a fast running method for blast waves propagating in the presence of obstacles. This is achieved through an ad hoc extension of the simplified hyperbolic geometrical shock dynamics (GSD) model, which leads to a drastic reduction in the computational cost in comparison with the full Euler system. The new model, called geometrical blast dynamics, is able to take into account any kind of source and obstacle. It relies on a previous extension of GSD for diffraction over wedges to obtain consistent physical behavior, especially in the limit of low Mach numbers. The new model is fully described. Its numerical integration is straightforward. Results compare favorably with experiments, semiempirical models from the literature, and Eulerian simulations, over a wide range of configurations. Keywords Blast waves · Geometrical blast dynamics · Geometrical shock dynamics · Fast running method · Lagrangian scheme
1 Introduction A blast wave results from the sudden release of a finite amount of energy from a source. In many cases, a precise prediction of airborne blast wave propagation is of interest, for example, to study explosion hazards or noise annoyance. The blast wave propagation is affected by numerous physical conditions such as the source shape, the height of burst, the interaction with obstacles or topography, as well as the atmospheric conditions. Several physical phenomena, such as diffraction, regular reflection, Mach stem formation, or wave recombination, must therefore be taken into account. In the real world, the shape of the front can become complex, which Communicated by C. Needham.
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N. Lardjane [email protected]
1
CEA, DAM, DIF, F-91297 Arpajon, France
2
Inria, CNRS, LJAD, EPC COFFEE, Université Côte d’Azur, Parc Valrose, 06108 Nice, France
3
UMR 7190 CNRS, Institut Jean Le Rond d’Alembert, Sorbonne Université, Paris, France
limits the efficiency of simple empirical methods. Unfortunately, the direct numerical simulation of blast waves, based on the Euler equations, from the detonation vicinity to longrange propagation remains a challenging task due to the wide range of spatial and temporal scales involved [1]. These observations motivated our team to develop a new model, both fast and accurate. Quantification of blast wave effects has been an active
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