The moving finite element method  Onedimensional transient flow applications
Abstract
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 elasticplastic deformation example.
 Publication:

System Simulation and Scientific Computation
 Pub Date:
 1983
 Bibcode:
 1983sssc....1..156G
 Keywords:

 Computational Fluid Dynamics;
 Finite Element Method;
 One Dimensional Flow;
 Shock Wave Propagation;
 Transient Heating;
 Viscous Flow;
 Wave Interaction;
 Continuum Mechanics;
 Elastoplasticity;
 Heat Transfer;
 Nuclear Reactors;
 Propagation Velocity;
 Fluid Mechanics and Heat Transfer