Computing undercompressive waves with the random choice scheme. Nonclassical shock waves

DOI10.4171/IFB/75zbMath1038.35134OpenAlexW1969402902MaRDI QIDQ1395974

Christophe Chalons, Philippe G. LeFloch

Publication date: 2003

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/ifb/75

zbMATH Keywords

stabilitynumerical experimentsnonlinear elastodynamicslarge-time behaviornonclassical shocksGlimm's random choice schemenonlinear systems of conservations laws

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65)

Related Items

The Computation of Nonclassical Shock Waves in Porous Media with a Heterogeneous Multiscale Method: The Multidimensional Case, Why many theories of shock waves are necessary: Kinetic functions, equivalent equations, and fourth-order models, Transport-equilibrium schemes for computing nonclassical shocks. Scalar conservation laws, A local discontinuous Galerkin method for the propagation of phase transition in solids and fluids, The sharp-interface approach for fluids with phase change: Riemann problems and ghost fluid techniques, Numerical methods with controlled dissipation for small-scale dependent shocks, Computation of dynamical phase transitions in solids, Constraint-aware neural networks for Riemann problems, A relaxation Riemann solver for compressible two-phase flow with phase transition and surface tension