Spectral Decomposition in Advection-Diffusion Analysis by Finite Element Methods,

Abstract

A spectral decomposition method based upon finite element modeling has been compared to a Crank-Nicolson direct integration solution scheme and the exact solution for the one-dimensional, nonlinear system defined by Burger's equation. Results from this study are applicable to both fluid mechanics and combined conduction-convection heat transfer. The parameter alpha, which governs the importance of diffusive transport, was varied over a sufficiently wide range such that comments on the comparisons are general.

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Document Details

Document Type
Technical Report
Publication Date
Aug 11, 1978
Accession Number
ADA061467

Entities

People

  • D. K. Gartling
  • G. Strang
  • R. E. Nickell

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Convection
  • Differential Equations
  • Diffusion
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Finite Element Analysis
  • Fluid Mechanics
  • Heat Transfer
  • Mass Transfer
  • Navier Stokes Equations
  • Nonlinear Systems
  • Partial Differential Equations
  • Physics Laboratories
  • Steady State

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.