High-order Non-reflecting Boundary Conditions for Dispersive Waves in Polar Coordinates Using Spectral Elements

Abstract

High-order non-reflecting boundary conditions are introduced to create a finite computational space and for the solution of dispersive waves using a spectral element formulation with high-order time integration. Numerical examples are used to demonstrate the synergy of using high-order spatial, time, and boundary discretization. We show that by balancing all numerical errors involved, high-order accuracy can be achieved for unbounded domain problems in polar coordinate systems.

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Document Details

Document Type
Technical Report
Publication Date
Jul 19, 2011
Accession Number
ADA559992

Entities

People

  • Beny Neta
  • Francis Giraldo
  • Joseph M. Lindquist

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Applied Mathematics
  • Asymptotic Series
  • Boundaries
  • Computational Fluid Dynamics
  • Computational Science
  • Coordinate Systems
  • Equations
  • Errors
  • Finite Element Analysis
  • Fluid Dynamics
  • Mathematics
  • Numerical Analysis
  • Shallow Water
  • Time Domain
  • Two Dimensional
  • Wave Equations

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Space/Atmospheric Physics.

Technology Areas

  • Space