A Spectral Element Solution of the Klein-Gordon Equation with High-Order Treatment of Time and Non-Reflecting Boundary

Abstract

A spectral element (SE) implementation of the Givoli?Neta non-reflecting boundary condition (NRBC) is considered for the solution of the Klein?Gordon equation. The infinite domain is truncated via an artificial boundary B, and a high-order NRBC is applied on B. Numerical examples, in various configurations, concerning the propagation of a pressure pulse are used to demonstrate the performance of the SE implementation. Effects of time integration techniques and long term results are discussed. Specifically, we show that in order to achieve the full benefits of high-order accuracy requires balancing all errors involved; this includes the order of accuracy of the spatial discretization method, timeintegrators and boundary conditions.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2010
Accession Number
ADA558847

Entities

People

  • Beny Neta
  • Francis Giraldo
  • Joseph M. Lindquist

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Acoustics
  • Applied Mathematics
  • Boundaries
  • Electronic Mail
  • Equations
  • Errors
  • Finite Element Analysis
  • Information Operations
  • Mathematics
  • Reflection
  • Shallow Water
  • Three Dimensional
  • Two Dimensional
  • Water
  • Wave Equations

Fields of Study

  • Mathematics
  • Physics

Readers

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