In Search of a Consistent and Conservative Mass Flux for the GWCE

Abstract

Two methods for computing local mass flux for a continuous Galerkin finite element formulation of the Generalized Wave Continuity Equation (GWCE) are derived and a third method is discussed in light of the first two. The GWCE is shown to not conserve mass locally, while it can be shown to conserve a certain quantity locally. The two derived methods are demonstrated for a realistic tidal flow problem in the Bight of Abaco, Bahamas. Published by Elsevier B.V.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2006
Accession Number
ADA455139

Entities

People

  • C. A. Blain
  • T. C. Massey

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mechanics
  • Barometric Pressure
  • Boundaries
  • Continuity
  • Equations
  • Instructions
  • Law
  • Mechanics
  • Military Research
  • Pressure Gradients
  • Shallow Water
  • Simulations
  • Time Intervals
  • Two Dimensional
  • Water
  • Weighting Functions

Readers

  • Coastal Oceanography
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)