Computational shock formation & development: An arbitrary Lagrangian-Eulerian characteristics approach [Slides]
We propose a new computational shock formation-development algorithm. We use a “good” geometry adapted to the evolving solution, along with a good set of variables defined in this geometry. We are able to: (1) Accurately capture the pre-shock; (2) Track distinguished characteristics and capture weak discontinuities; (3) Approximate solutions to classical Riemann problems; and (4) Accurately solve challenging problems for which standard methods fail.
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗