Accession Number:

ADA558847

Title:

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

Descriptive Note:

Journal article

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF APPLIED MATHEMATICS

Report Date:

2010-01-01

Pagination or Media Count:

11.0

Abstract:

A spectral element SE implementation of the GivoliNeta non-reflecting boundary condition NRBC is considered for the solution of the KleinGordon 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.

Subject Categories:

  • Numerical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE