The moving finite element method - One-dimensional transient flow applications

Reference is made to the study by Gelinas et al. (1981), which tested the moving finite element method (MFE) on transient fluid problems involving simultaneous propagation and interactions at different rates of one or more shocks and/or other traveling waveforms in gases, liquids, solids, and plasmas. Consideration is given here to three additional examples that are sufficiently far from equilibrium states that their transient fluid interactions over macroscopic scales can be dependent upon microscale viscid material processes. In such computations, it is essential that all forms of numerical dissipation be eliminated so that the physical processes in the viscid fluid equations do in fact govern the PDE solutions. The three examples are the thermal quench example, the strong shock example, and the elastic-plastic deformation example.