Evolution and decay of spherical and cylindrical N waves

DOI10.1017/S0022112086001775zbMath0615.76075OpenAlexW2024983044MaRDI QIDQ4724324

P. L. Sachdev, K. R. C. Nair, V. G. Tikekar

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1017/s0022112086001775

zbMATH Keywords

Burgers equationpseudospectral approachimplicit finite difference methodsanalytic resultscylindrical symmetriesembryonic shockinitial steep-shock regimeTaylor shockthick evolutionary shock

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Partial differential equations of mathematical physics and other areas of application (35Q99) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Basic methods in fluid mechanics (76M99)

Related Items (8)

Generalized Burgers equations and Euler–Painlevé transcendents. II ⋮ Exact N‐Wave Solutions of Generalized Burgers Equations ⋮ Numerical and asymptotic solutions of generalised Burgers' equation ⋮ Evolution and decay of cylindrical and spherical nonlinear acoustic waves generated by a sinusoidal source ⋮ Spherical nonlinear wave propagation in a dissipative stratified atmosphere ⋮ Symmetry reductions and new exact invariant solutions of the generalized Burgers equation arising in nonlinear acoustics ⋮ Effect of molecular relaxation on the propagation of sonic booms through a stratified atmosphere ⋮ Decay of a saw-tooth profile in chemically reacting gases

Cites Work

• Numerical convective schemes based on accurate computation of space derivatives
• Similarity solution of the axisymmetric Burgers equation
• Propagation of spherical and cylindrical N-waves
• On Predictor-Corrector Methods for Nonlinear Parabolic Differential Equations

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