3-D Seismic Code for ILLIAC-IV

Abstract

Finite element (FE) and finite difference (FD) spatial differencing schemes for linearly elastic materials are compared on a common basis. Conditions are established under which the two methods are identical. Features commonly associated with FD methods are combined with a FE spatial treatment to obtain an explicit time stepping algorithm suitable for processing 3-D linearly elastic wave calculations on the ILLIAC IV system. Test calculations are presented to compare FE and FD codes at S3. Comparisons are made for two problems: A spherically symmetric explosion with an exponentially decaying step pressure and Lamb's problem - an impulse loading applied to the free surface of a homogeneous half space. Test calculations are presented for exploring certain features of the 3-D time stepping algorithm.

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Document Details

Document Type
Technical Report
Publication Date
Feb 09, 1973
Accession Number
AD0767010

Entities

People

  • Christian M. Petersen
  • Gerald A. Frazier
  • James H. Alexander

Organizations

  • Utility Systems Science and Software (United States)

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computational Science
  • Computations
  • Computer Programming
  • Computers
  • Crystal Structure
  • Difference Equations
  • Elastic Waves
  • Equations
  • Geometry
  • Impulse Loading
  • Materials
  • Resonant Frequency
  • Simulators
  • Stress Waves
  • Three Dimensional
  • Two Dimensional
  • Wave Propagation

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)
  • Structural Dynamics.

Technology Areas

  • Space