Discontinuous Galerkin methods applied to shock and blast problems

Nicolas Chevaugeon (1) , Jianguo Xin (1) , Peng Hu (1) , Xiangrong Li (1) , Daniel Cler (2) , Joseph Flaherty (1) , Mark Shephard (1)

1 Scientific Computation Research Center
2 Benet Laboratories

We describe procedures to model transient shock interaction problems using discontinuous Galerkin methods to solve the compressible Euler equations. The problems are motivated by blast flows surrounding cannons with perforated muzzle brakes. The goal is to predict shock strengths and blast over pressure. This application illustrates several computational difficulties. The software must handle complex geometries. The problems feature strong interacting shocks, with pressure ratios on the order of 1000 as well as weaker precursor shocks traveling rearward that also must be accurately captured. These aspects are addressed using anisotropic mesh adaptation. A shock detector is used to control the adaptation and limiting. We also describe procedures to track projectile motion in the flow by a level-set procedure.

Mots clés: Discontinuous Galerkin methods; Shock detection; Hyperbolic conservation problems blast; anisotropic mesh refinement; adaptive methods

Domaines: Mécanique [physics.med-ph]; Matériaux

Nicolas Chevaugeon, Jianguo Xin, Peng Hu, Xiangrong Li, Daniel Cler, et al.. Discontinuous Galerkin methods applied to shock and blast problems. SIAM Journal on Scientific Computing, 2005, 22-23, pp.227-243. ⟨10.1007/s10915-004-4138-4⟩. ⟨hal-01006753⟩