Numerical verification of delta shock waves for pressureless gas dynamics

DOI10.1016/j.jmaa.2008.03.042zbMath1146.35059OpenAlexW2052583301MaRDI QIDQ930995

Nataša Krejić, Tanja Krunić, Marko Nedeljkov

Publication date: 24 June 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.03.042

zbMATH Keywords

generalized functionsCLAWPACKnumerical methods for conservation lawsovercompressive delta shock

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (5)

Interaction of delta shock waves for a nonsymmetric Keyfitz-Kranzer system of conservation laws ⋮ Discrete shock profiles for scalar conservation laws with discontinuous fluxes ⋮ Singular shock solutions in nonlinear chromatography ⋮ Higher order shadow waves and delta shock blow up in the Chaplygin gas ⋮ Shadow wave solutions for a scalar two-flux conservation law with Rankine–Hugoniot deficit

Uses Software

• CLAWPACK

Cites Work

• Simple adaptive grids for 1-D initial value problems
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Generalized solutions to conservation laws
• A study of numerical methods for hyperbolic conservation laws with stiff source terms
• Riemann problems for a class of coupled hyperbolic systems of conservation laws
• A Moving Mesh Method for One-dimensional Hyperbolic Conservation Laws
• Moving Mesh Partial Differential Equations (MMPDES) Based on the Equidistribution Principle
• Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids
• Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws
• Weak Solution to Pressureless Type System
• Delta and singular delta locus for one-dimensional systems of conservation laws
• Stability of Godunov's Method for a Class of 2 × 2 Systems of Conservation Laws
• Multiplication of distributions
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