The Effect of Spatial Discretization on the Steady-State and Transient Solutions of a Dispersive Wave Equation

Abstract

The study of the dispersive wave equation is fundamental to an understanding of the process of geostrophic adjustment. In this report, the effect of replacing the spatial derivatives in a dispersive wave equation with second order, centered finite differences is examined with the use of Fourier Transform methods. The discretization is shown to both decrease the rate of spatial decay of the steady state solution, and to introduce additional transients at least as persistent as those in the differential case.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1976
Accession Number
ADA023083

Entities

People

  • Arthur L. Schoenstadt

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Ageostrophy
  • Air Force
  • Atmospheric Sciences
  • Classification
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Mathematics
  • Meteorology
  • Military Research
  • Partial Differential Equations
  • Research Facilities
  • Steady State
  • Wave Equations
  • Weather Forecasting

Fields of Study

  • Mathematics

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Linear Algebra
  • Optical Physics and Photonics.