Computational Methods in Continuum Mechanics

Abstract

The primary objectives of this research are the development of algorithms which are applicable to non-linear continuum mechanic problems, especially to Stefan's Problems and Fluid Flows in Porous Media (Richard's Equation). We have studied 2-D and 3-D related problems. The codes are written in Cray Fortran and vectorization are done on the Cray Y-MP. The results obtained by Compact ADI, Finite Difference SOR and ADI are compared. It is seen that Compact ADI is superior. Six scientific research Papers have been presented/published in various conferences and journals in the last two years. All of the papers are attached in the appendix as attachments. Two senior faculty members worked in this project. Bolindra N. Borah (P.I.), Professor, North Carolina A&T State University, Robert E. White (Co-P.I.), Professor, North Carolina State University are the principal researchers. Besides, four graduate students participated in this project. Two have already completed the M.S. in Applied Mathematics while the other two are completing in the Spring Semester 1994.

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Document Details

Document Type
Technical Report
Publication Date
Nov 30, 1993
Accession Number
ADA275560

Entities

People

  • A. Kyrillidis
  • Bolindra N. Borah
  • Robert E. White
  • S. Shankarlingham
  • Yanzhou Ji

Organizations

  • North Carolina Agricultural and Technical State University

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Fluid Flow
  • Groundwater
  • Heat Transfer
  • Laminates
  • Mathematical Analysis
  • Mathematics
  • North Carolina
  • Numerical Analysis
  • Three Dimensional
  • Two Dimensional
  • Water Resources

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Research Science/Academic Research