An Absorbing-Generating Boundary Condition for Shallow Water Models.

Abstract

An absorbing generating boundary condition based on the Method of Characteristics is derived for the two dimensional horizontal nonlinear shallow equations. It allows outgoing waves to leave the computational domain through the boundaries with a minimum of reflection while specifying incoming waves at the same boundaries. The boundary condition's absorbing properties are tested for both linear and nonlinear waves for a range of angles of incidence. Its performance is compared to the classical Sommerfeld radiation condition for the linear case. Also, a case of simultaneous absorption and generation of waves at the same boundary is analyzed.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1996
Accession Number
ADA320888

Entities

People

  • A. R. Van Dongeren
  • I. A. Svendsen

Organizations

  • University of Delaware

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Absorption
  • Angle Of Incidence
  • Boundaries
  • Demographic Cohorts
  • Differential Equations
  • Electrical Solitons
  • Engineering
  • Equations
  • Physics
  • Radiation
  • Reflection
  • Shallow Water
  • Standing Waves
  • Two Dimensional
  • Water
  • Wave Equations
  • Waves

Fields of Study

  • Mathematics
  • Physics

Readers

  • Acoustical Oceanography.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Linear Algebra