A generalisation of the theory of geometrical shock dynamics

DOI10.1007/BF01418882zbMath0756.76039OpenAlexW4251949359MaRDI QIDQ1195035

J. P. Best

Publication date: 13 October 1992

Published in: Shock Waves (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01418882

zbMATH Keywords

truncationshock diffractionnon-uniform flowA-M relationinfinite sequence of ordinary differential equationsunderwater blast waves

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (13)

Diffraction of shock waves through a non-quiescent medium ⋮ Parallel implementation of geometrical shock dynamics for two dimensional converging shock waves ⋮ On the shock dynamics of weak converging shock waves in solid materials ⋮ Evolution of a shock generated by an impulsively accelerated, sinusoidal piston ⋮ Generation of cylindrical converging shock waves based on shock dynamics theory ⋮ 3D jet impact and toroidal bubbles ⋮ Shock wave focusing using geometrical shock dynamics ⋮ A fast-marching like algorithm for geometrical shock dynamics ⋮ A complex variable method for the floating-body boundary-value problem ⋮ Kinematics of a shock wave of arbitrary strength in a non-ideal gas ⋮ Derivatives on the downstream side of a moving, curved shock ⋮ The numerical determination of the Kelvin impulse of a bubble close to a submerged rigid structure ⋮ An immersed boundary method for geometrical shock dynamics

Cites Work

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• On the propagation of a multi-dimensional shock of arbitrary strength
• On methods of calculating successive positions of a shock front
• Propagation of shock waves in an isentropic, nonviscous gas
• A new approach to problems of shock dynamics Part I Two-dimensional problems
• On the propagation of shock waves through regions of non-uniform area or flow
• A new approach to problems of shock dynamics Part 2. Three-dimensional problems
• Numerical shock propagation using geometrical shock dynamics
• Weak-shock solution for underwater explosive shock waves

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