The propagation of weak shocks in non-uniform flows
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Publication:4354489
DOI10.1017/S0022112096008506zbMath0889.76034MaRDI QIDQ4354489
Publication date: 17 September 1997
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
compatibility conditionstwo-dimensional flowsvortex arrayfocusing of initially parabolic shockinitially straight shockmanifold equationpoint-vortex array
Related Items (7)
Kinematical conservation laws in a space of arbitrary dimensions ⋮ Parabolic approximation in ray coordinates for high-frequency nonlinear waves in a inhomogeneous and high speed moving fluid ⋮ Formulation of the problem of sonic boom by a maneuvering aerofoil as a one-parameter family of Cauchy problems ⋮ Calculation of shocks using solutions of systems of ordinary differential equations ⋮ Two-term approximation of a model equation using the new theory of shock dynamics ⋮ An asymptotic derivation of weakly nonlinear ray theory ⋮ Analysis of multipolar vortices in the interaction of a shock with a strong moving vortex
Cites Work
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- Ray method of calculating the wave front intensity in nonlinearly elastic material
- Propagation of shock waves in an isentropic, nonviscous gas
- Long time behaviour of the solution of a system of equations from new theory of shock dynamics
- The characteristic rule for shocks
- Shock dynamics in non-uniform media
- A new approach to problems of shock dynamics Part I Two-dimensional problems
- Diffraction of strong shocks by cones, cylinders, and spheres
- Focusing of waves in turbulent inhomogeneous media
- On the propagation of weak and moderately strong, curved shock waves
- The converging shock wave from a spherical or cylindrical piston
- Rapid distortion theory for homogeneous compressed turbulence with application to modelling
- A spectral closure for premixed turbulent combustion in the flamelet regime
- Shock-jump relations in a turbulent flow
- A note on shock dynamics relative to a moving frame
- Interaction of Linear Waves with Oblique Shock Waves
- Geometrical Acoustics. I. The Theory of Weak Shock Waves
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