Environmental Impact Research Program. An Implicit, Wiggle-Free, and Accurate Upstream Finite-Difference Algorithm for the One-Dimensional Transport-Diffusion Equation.

Abstract

A stable, accurate, and robust finite-difference algorithm has been successfully developed for engineering solution of the one-dimensional transport-diffusion equation. It is implicit and accurate to a higher order through removal of truncation errors, and uses quadratic upstream weighted differencing of the advection term to eliminate wiggle instabilities. Patterned after the explicit scheme, the implicit method essentially doubles the useful, stable range of application with comparable accuracy. Because of these significant improvements for one-dimensional problems, it is strongly recommended that the implicit method be extended to two dimensions. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1984
Accession Number
ADA143141

Entities

People

  • D. R. Basco

Organizations

  • Texas A&M University

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Accuracy
  • Advection
  • Algorithms
  • Boundaries
  • Civil Engineering
  • Classification
  • Coefficients
  • Computations
  • Computer Programs
  • Engineering
  • Engineers
  • Environment
  • Equations
  • Nomenclature
  • Truncation
  • Two Dimensional
  • Universities

Readers

  • Environmental Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)