Accession Number : ADP002970

Title :   Moving Finite Element Research for Shock Hydrodynamics, Continuum Mechanics and Combustion,


Personal Author(s) : Gelinas,R. J. ; Doss,S. K. ; Carlson,N. N.

Report Date : FEB 1984

Pagination or Media Count : 20

Abstract : The overall objective of this research is to investigate the numerical properties and structure of the moving finite element (MFE) method in order to reduce it to practice for the numerical solution of important PDE systems. This research focusses upon mathematical and computational properties of transient MFE solutions in 1-D and 2-D of (i) the full viscous, compressible Navier-Stokes equations for shocks and possibly for combustion processes in gases; and (ii) the continuum equations for impacts of initially solid bodies where constitutive models include elastic, plastic, and visco plastic effects. In this work, primary attention is devoted to the distinction and exacting resolution of actual physical dissipation effects (over highly disparate scales) vis-a-vis numerical dissipation effects which frequently obscure the actual physical dissipation processes in PDE solutions of fluid dynamics equations. Test cases which demonstrate these distinctions are presented. Those factors which are major determinates of grid node optimality in the MFE method and in certain other adaptive solution methods for PDE's are discussed.

Descriptors :   *Finite element analysis, Shock, Partial differential equations, Fluid dynamics, Navier stokes equations, Transients, One dimensional, Two dimensional, Viscous flow, Compressible flow, Dissipation, Transport properties, Applied mathematics, Blast, Continuum mechanics, Hydrodynamics, Combustion

Distribution Statement : APPROVED FOR PUBLIC RELEASE