Parallel algorithms for implicit material dynamics schemes

摘要

Procedures are presented for parallelizing implicit schemes for computational material dynamics. These procedures are illustrated on an implicit version of the von Neumann-Richtmyer (vNR) scheme. The original vNR scheme, a one-dimensional scheme for continuum dynamics in the material reference frame, has extensions to two- and three-dimensional and spatial reference frames. The vNR codes, and codes with similar structure, are representative of large classes of codes accounting for large numbers of supercomputer cycles.