Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Beyond the limitation of Geometrical Shock Dynamics for diffraction over wedges

Julien Ridoux 1, 2 Nicolas Lardjane 2 Laurent Monasse 3 François Coulouvrat 1 
1 IJLRDA-MPIA - Modélisation, Propagation et Imagerie Acoustique
DALEMBERT - Institut Jean Le Rond d'Alembert
2 LDG - Laboratoire de Détection et de Géophysique (CEA)
DAM/DIF - DAM Île-de-France : DAM/DIF
3 COFFEE - COmplex Flows For Energy and Environment
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR7351
Abstract : Geometrical Shock Dynamics (GSD) is a simplified model for nonlinear shock wave propagation for which the front evolution is governed by a local relation between the geometry of the shock and its velocity, so-called A − M rule. Numerous studies have proven the ability of the GSD model to estimate correctly the leading shock front in interaction with obstacles. Nevertheless, a solution for the problem of diffraction over a convex corner does not always exist, especially for weak shocks. To overcome this limitation, we propose an ad-hoc modification of the A−M relation for two-dimensional configurations: an extra term based on the transverse variation of the Mach number is added. This new closure is fitted against experimental observations, which ensures, by construction, a correct behaviour for expansive shocks. A Lagrangian numerical solver is developed, for which this new term is activated only on specific parts of the front. Results of this new model are compared with the original GSD model, experiments, and Eulerian simulations for several cases of increasing complexity. A noticeable improvement of the solution is observed.
Complete list of metadata

Cited literature [34 references]  Display  Hide  Download
Contributor : Laurent Monasse Connect in order to contact the contributor
Submitted on : Monday, September 24, 2018 - 4:03:49 PM
Last modification on : Friday, August 5, 2022 - 3:50:42 AM
Long-term archiving on: : Tuesday, December 25, 2018 - 2:47:24 PM


Files produced by the author(s)


  • HAL Id : hal-01880213, version 1


Julien Ridoux, Nicolas Lardjane, Laurent Monasse, François Coulouvrat. Beyond the limitation of Geometrical Shock Dynamics for diffraction over wedges. 2018. ⟨hal-01880213⟩



Record views


Files downloads