Spectral Models Based on Boussinesq Equations

Abstract

For a stationary wave field, spectral models represent the surface wave motion sufficiently accurately. There are however two drawbacks in using nonlinear spectral models: a) The computational time involved when simulating the random wave field; the number of operations needed is O(N2) (N is the number of frequency components). b) Spectral models are usually one-equation reduction of the two-equation time domain model, which does not then have the same characteristics of the original model. Here we explore two approaches to solve these problems. First, we use the hybrid FFT technique (Bredmose et al. 2004) both to speed up the calculations and to incorporate higher order nonlinear terms. Second, we look at frequency domain transformation without reducing the model to one equation. Significant improvement in computational speed was obtained with the hybrid FFT approach. The models also show good agreement to the data reported by Mase and Kirby (1992).

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Oct 03, 2006
Accession Number
ADA470361

Entities

People

  • James Kaihatu
  • Jay Veeramony

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Agreements
  • Coastal Engineering
  • Electrical Solitons
  • Engineering
  • Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Frequency
  • Frequency Domain
  • Mechanics
  • Military Research
  • Sedimentation
  • Surface Waves
  • Time Domain
  • Wave Equations
  • Wave Propagation
  • Waves

Fields of Study

  • Mathematics

Readers

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