High-Order Higdon Non-Reflecting Boundary Conditions for the Shallow Water Equations

Abstract

In this report we document the implementation of high order Higdon nonreflecting boundary conditions. We suggest a way to choose the parameters and demonstrate numerically the efficiency of our choice. The model we used is the shallow water equations and as a special case the Klein-Gordon equation. These equations are solved by the finite difference method. We comment on the use of finite elements and demonstrate a new, more efficient method. The case of curved boundary is discussed. We close with a list of topics for research.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 2002
Accession Number
ADA401838

Entities

People

  • Beny Neta
  • Dan Givoli

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Chebyshev Polynomials
  • Dispersion Relations
  • Elastic Waves
  • Equations
  • Frequency
  • Grids
  • Marine Meteorology
  • Mathematics
  • Meteorology
  • Phase Velocity
  • Reflection
  • Two Dimensional
  • Water
  • Wave Equations
  • Waves

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)