Capturing nonclassical shocks in nonlinear elastodynamic with a conservative finite volume scheme
Capturing nonclassical shocks in nonlinear elastodynamic with a conservative finite volume scheme
For a model of nonlinear elastodynamics, we construct a finite volume scheme which is able to capture nonclassical shocks (also called undercompressive shocks). Those shocks verify an entropy inequality but are not admissible in the sense of Liu. They verify a kinetic relation which describes the jump, and keeps an …