An algorithm based on flux-corrected transport and the Lagrangian finite el
ement method is presented for solving the problem of shock dynamics. It is
verified through the model problem of one-dimensional strain elastoplastic
shock wave propagation that the algorithm leads to stable, non-oscillatory
results. Shock initiation and detonation wave propagation is simulated usin
g the algorithm, and some interesting results are obtained. (C) 1999 Academ
ic Press.