A Parallel Implementation of Three-Dimensional, Lagrangian Shallow Water Equations

Abstract

This project developed fluid circulation models for the two- and three-dimensional Lagrangian shallow water equations. There were two stages to this development: in the first, the two-dimensional shallow water equations were transformed from first principles of oceanography into a serial implementation in MATLAB. In the second part, a serial implementation of the three-dimensional shallow water equations, developed by Dr. James Greenberg, was modified to run in parallel on many nodes of a computing cluster. There are two deliverable products from this project. First, there is a serial two-dimensional model of fluid circulation that takes into account many different user-designated initial conditions and can be useful for determining how well the mathematics of this model can approximate physical phenomena. Secondly, this project produced a three-dimensional parallel model that serves as a proof of concept for future development of more advanced parallel models.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
May 07, 2008
Accession Number
ADA486714

Entities

People

  • Daniel D. Hartig

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Cartesian Coordinates
  • Computational Science
  • Computations
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Fluid Flow
  • Formulas (Mathematics)
  • Geometry
  • Grids
  • Mathematics
  • Shallow Water
  • Steady State
  • Three Dimensional
  • Two Dimensional
  • United States Naval Academy

Readers

  • Computational Modeling and Simulation
  • Fluid Dynamics.
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers