A Balanced Expansion Technique for Constructing Accurate Finite Difference Advection Schemes.

Abstract

A new procedure, called the Balanced Expansion Technique (BET), is employed to construct accurate finite difference advection schemes that, for the model equation considered, are neutrally stable. By applying BET systematically, the phase error can be made as small as one wishes. Test calculations with one-dimensional problems have confirmed the expected accuracy of these methods. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1977
Accession Number
ADA035698

Entities

People

  • Robert K.-c. Chan

Tags

Communities of Interest

  • Ground and Sea Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Advection
  • Boundaries
  • Coefficients
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Difference Equations
  • Differential Equations
  • Dynamics
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Gaussian Distributions
  • Reynolds Number
  • Steady State
  • Viscosity

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Game Theory.