Analysis of the Displacement Field for Localized Disturbances in a Stratified Fluid with Shear

Abstract

An initial-value problem is studied for two-dimensional density perturbations of finite amplitude in an incompressible, viscous, stratified fluid. A background shear flow is permitted. Certain characteristics of the net displacement field are demonstrated to be directly computable from the initial data. An inverse problem is studied, and it is shown how characteristics of the initial density perturbation can be deduced from knowledge of the initial and final shapes of the region containing the initial density perturbation.

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Document Details

Document Type
Technical Report
Publication Date
Oct 14, 1976
Accession Number
ADA032286

Entities

People

  • John M. Bergin

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Amplitude
  • Boundaries
  • Buoyancy
  • Collapse
  • Convergence
  • Displacement
  • Equations
  • Flow
  • Internal Waves
  • Inverse Problems
  • Laminar Flow
  • Mathematical Models
  • Self Propelled
  • Shear Flow
  • Stratified Fluids
  • Turbulent Mixing
  • Two Dimensional

Fields of Study

  • Mathematics
  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)