An experimental adaptation of Higdon-type non-reflecting boundary conditions to linear first-order systems

Authors:
John R. Dea
Affiliations:
-
Venue:
Journal of Computational and Applied Mathematics
Year:
2011

Citing 13
Cited 1

Initial-boundary value problems for linear hyperbolic systems

SIAM Review
Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation

Mathematics of Computation
Radiation boundary conditions for elastic wave propagation

SIAM Journal on Numerical Analysis
Radiation boundary conditions for dispersive waves

SIAM Journal on Numerical Analysis
A perfectly matched layer for the absorption of electromagnetic waves

Journal of Computational Physics
On absorbing boundary conditions for linearized Euler equations by a perfectly matched layer

Journal of Computational Physics
Well-posed perfectly matched layers for advective acoustics

Journal of Computational Physics
A Stable, perfectly matched layer for linearized Euler equations in unslit physical variables

Journal of Computational Physics
High-order non-reflecting boundary scheme for time-dependent waves

Journal of Computational Physics
High-order nonreflecting boundary conditions for the dispersive shallow water equations

Journal of Computational and Applied Mathematics - Special issue: Selected papers from the conference on computational and mathematical methods for science and engineering (CMMSE-2002) Alicante University, Spain, 20-25 september 2002
A Perfectly Matched Layer absorbing boundary condition for linearized Euler equations with a non-uniform mean flow

Journal of Computational Physics
A new approach to perfectly matched layers for the linearized Euler system

Journal of Computational Physics
A stratified dispersive wave model withhigh-order nonreflecting boundary conditions

Computers & Mathematics with Applications

Improving the performance of Higdon non-reflecting boundary conditions by using weighted differencing

Applied Numerical Mathematics

Quantified Score

Hi-index	7.29

Visualization

Abstract

Experiments in adapting the Higdon non-reflecting boundary condition (NRBC) method to linear 2-D first-order systems are presented. Finite difference implementations are developed for the free-space Maxwell equations, the linearized shallow-water equations with Coriolis, and the linearized Euler equations with uniform advection. This NRBC technique removes up to 99% of the reflection error generated by the Sommerfeld radiation condition with only a modest increase in computational overhead.