Ultra-relativistic geometrical shock dynamics and vorticity

DOI10.1017/S0022112008001249zbMath1151.76643arXiv0706.1818MaRDI QIDQ3524064

Andrew MacFadyen, Jeremy Goodman

Publication date: 8 September 2008

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.1818

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (5)

Diffraction of shock waves through a non-quiescent medium ⋮ Analysis of ray tube area in geometrical shock dynamics ⋮ A fast-marching like algorithm for geometrical shock dynamics ⋮ An immersed boundary method for geometrical shock dynamics ⋮ Relativistic Rayleigh–Taylor instability of a decelerating shell and its implications for gamma-ray bursts

Cites Work

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• A new approach to problems of shock dynamics Part 2. Three-dimensional problems
• Diffraction of strong shocks by cones, cylinders, and spheres
• Fluid dynamics of relativistic blast waves
• The analytical solution of the Riemann problem in relativistic hydrodynamics
• Propagation of curved shock fronts using shock ray theory and comparison with other theories
• First and second type self-similar solutions of implosions and explosions containing ultrarelativistic shocks

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