Accession Number:

ADA558866

Title:

Klein-Gordon Equation with Advection on Unbounded Domains Using Spectral Elements and High-Order Non-Reflecting Boundary Conditions

Descriptive Note:

Journal article

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF APPLIED MATHEMATICS

Report Date:

2010-01-01

Pagination or Media Count:

15.0

Abstract:

A reduced shallow water model under constant, non-zero advection in the infinite channel is considered. High-order Givoli-Neta non-reflecting boundary conditions are introduced in various configurations to create a finite computational space and solved 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.

Subject Categories:

  • Numerical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE