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

Personal Author(s):

• Lindquist, Joseph M.
• Giraldo, Francis X.
• Neta, Beny

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.

Descriptors:

• *BOUNDARY LAYER FLOW
• *NUMERICAL ANALYSIS
• ADVECTION
• CHANNELS
• COMPUTATIONS
• CONFIGURATIONS
• ERRORS
• FORMULATIONS
• NONREFLECTING COATINGS
• SHALLOW WATER

Subject Categories:

• Numerical Mathematics
• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE