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

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.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1984
Accession Number
ADP002970

Entities

People

  • N. N. Carlson
  • R. J. Gelinas
  • S. K. Doss

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Applied Mathematics
  • Combustion
  • Computational Fluid Dynamics
  • Computational Science
  • Continuum Mechanics
  • Dissipation
  • Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Geometry
  • Hydrodynamics
  • Mathematics
  • Mechanics
  • Navier Stokes Equations
  • Solid Bodies
  • Two Dimensional

Readers

  • Computational Modeling and Simulation
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)