The Development of a Numerical Solution to the Transport Equation. Report 3. Test Results.

Abstract

This report, Report 3 in a three-report series, presents the results of numerical experiments using the following schemes developed in the first two reports of the series: (1) Forward Time Upwind Space (FTUS), (2) Forward time Centered Space (FTCS), (3) Spread Time Derivative Upwind Space (STUS), (4) Spread Time Derivative Centered Space (STCS), and (5) Flux Corrected Transport (FCT). Experimental results on a 7 by 8 uniform grid are directly compared with analytical solutions for several sharp front problems. A 60 by 60 square grid was employed subsequently to test boundary condition effects. Based upon the uniform grid test results, the FCT scheme was incorporated within the U.S. Army Engineer Waterways Experiment Station Implicit Flooding Model (WIFM) and employed to simulate a sharp front problem on a variably spaced 6785-computational-cell global grid representing Mississippi Sound and adjacent areas. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1983
Accession Number
ADA134026

Entities

People

  • R. A. Schmalz Jr

Organizations

  • Coastal Engineering Research Center

Tags

DTIC Thesaurus Topics

  • Acquisition
  • Advection
  • Boltzmann Equation
  • Boundaries
  • Coastal Engineering
  • Coordinate Systems
  • Dead Reckoning
  • Engineering
  • Engineers
  • Equations
  • Materials
  • Mississippi
  • Simulations
  • Stationary
  • Translations
  • Transport Ships
  • Waterways

Readers

  • Coastal and Marine Engineering/Sediment Transport/Hydraulic Engineering
  • Combustion and Flow Dynamics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space