High-Angle Formulation for the Nonlinear Progressive-wave Equation (NPE) Model

Abstract

The Nonlinear Progressive-wave Equation (NPE) model has been reformulated for wider propagation angle accuracy. The wide-angle NPE results from range-integrating the second-order time domain nonlinear wave equation rather than reducing it to a one-way equation as in the original NPE. The numerical implementation of the second-order NPE retains two time levels rather than one. The resulting model is referred to as NPE2. Benchmark tests reveal that root mean square (rms) errors in the model are reduced by a factor of 10 for moderately high propagation angles as compared to similar tests of the first-order NPE.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
May 29, 1998
Accession Number
ADA346006

Entities

People

  • B. E. Mcdonald
  • Gregory J. Orris

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Difference Equations
  • Differential Equations
  • Diffraction
  • Electrical Solitons
  • Equations
  • Errors
  • Euler Equations
  • Far Field
  • High Angles
  • Hydrocodes
  • Mathematical Analysis
  • Military Research
  • Near Field
  • Spherical Waves
  • Wave Equations
  • Wave Propagation
  • Waves

Readers

  • Calculus or Mathematical Analysis
  • Radar Systems Engineering.
  • Wave Propagation and Nonlinear Chaotic Dynamics.