Hyperfast Numerical Integration of Ocean Surface Wave Dynamics Extensions to Higher Order

Abstract

The objective of the present research program is the development of fast numerical multidimensional Fourier techniques applied to a wide range of wave modeling and data analysis problems. Important progress made in the past year has been the development of new methods for extending the nonlinear Fourier approach to arbitrary order. Thus one can now push toward the solution of the Euler and other higher order equations in a more systematic way that requires very little additional central processor time.

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Document Details

Document Type
Technical Report
Publication Date
Sep 30, 2008
Accession Number
ADA534252

Entities

People

  • A. R. Osborne

Organizations

  • University of Turin

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Differential Equations
  • Dynamics
  • Equations
  • Euler Equations
  • Fourier Analysis
  • Fourier Series
  • Frequency
  • Inverse Scattering
  • Numerical Integration
  • Ocean Waves
  • Partial Differential Equations
  • Shallow Water
  • Surface Waves
  • Two Dimensional
  • Water Waves
  • Wave Equations
  • Waves

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers
  • Systems Analysis and Design