Shock wave focusing using geometrical shock dynamics

DOI10.1063/1.869414zbMath1185.76822OpenAlexW2081918201MaRDI QIDQ5755779

J. E. Cates, B. Sturtevant

Publication date: 15 August 2007

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://authors.library.caltech.edu/2069/

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Supersonic flows (76J20)

Related Items (8)

Singularity theory of plane curves and its applications ⋮ Diffraction of shock waves through a non-quiescent medium ⋮ On the shock dynamics of weak converging shock waves in solid materials ⋮ Spatial structure of shock formation ⋮ A fast-marching like algorithm for geometrical shock dynamics ⋮ Geometrical shock dynamics applied to condensed phase materials ⋮ Kinematics of a shock wave of arbitrary strength in a non-ideal gas ⋮ An immersed boundary method for geometrical shock dynamics

Cites Work

• Mach reflection for the two-dimensional Burgers equation
• A generalisation of the theory of geometrical shock dynamics
• An efficient, full-potential implicit method based on characteristics for supersonic flows
• Shock dynamics in non-uniform media
• A new approach to problems of shock dynamics Part I Two-dimensional problems
• A new approach to problems of shock dynamics Part 2. Three-dimensional problems
• Diffraction of strong shocks by cones, cylinders, and spheres
• Numerical shock propagation using geometrical shock dynamics
• A new numerical method for shock wave propagation based on geometrical shock dynamics

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