A quasi-analytical shock solution for general nonlinear progressive waves

DOI10.1016/j.wavemoti.2008.09.002zbMath1231.35163OpenAlexW2017117843MaRDI QIDQ661711

François Coulouvrat

Publication date: 11 February 2012

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2008.09.002

zbMATH Keywords

nonlinear wavesBurgers equationshock wavesshock Fitting algorithm

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Nonlinear waves in solid mechanics (74J30) Second-order nonlinear hyperbolic equations (35L70)

Related Items (3)

Long range numerical simulation of acoustical shock waves in a 3D moving heterogeneous and absorbing medium ⋮ Element centered smooth artificial viscosity in discontinuous Galerkin method for propagation of acoustic shock waves on unstructured meshes ⋮ Analysis of regular and irregular acoustic streaming patterns in a rectangular enclosure

Uses Software

• HE-E1GODF

Cites Work

• The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case
• August Toepler -- the first who visualized shock waves
• Nonlinear reflection of grazing acoustic shock waves: unsteady transition from von Neumann to Mach to Snell–Descartes reflections
• Nonlinear wave motion governed by the modified Burgers equation
• Finite Volume Methods for Hyperbolic Problems
• A Fundamental Derivative in Gasdynamics
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