Modeling artificial boundary conditions for compressible flow

T Colonius - Annu. Rev. Fluid Mech., 2004 - annualreviews.org
▪ Abstract We review artificial boundary conditions (BCs) for simulation of inflow, outflow, and
far-field (radiation) problems, with an emphasis on techniques suitable for compressible …

New results on absorbing layers and radiation boundary conditions

T Hagstrom - Topics in Computational Wave Propagation: Direct and …, 2003 - Springer
Perhaps the defining feature of waves is the fact that they propagate long distances relative
to their characteristic dimension, the wavelength. This allows us to use them to probe the …

Nonreflecting boundary conditions for the time-dependent wave equation

B Alpert, L Greengard, T Hagstrom - Journal of Computational Physics, 2002 - Elsevier
We describe a new, efficient approach to the imposition of exact nonreflecting boundary
conditions for the scalar wave equation. We compare the performance of our approach with …

CABARET method on unstructured hexahedral grids for jet noise computation

GA Faranosov, VM Goloviznin, SA Karabasov… - Computers & …, 2013 - Elsevier
A new scalable high-resolution CABARET MILES method coupled with a porous Ffowcs
Williams–Hawking formulation for far-field noise modelling is applied for the computation of …

High-order accurate methods in time-domain computational electromagnetics: A review

JS Hesthaven - Advances in imaging and electron physics, 2003 - Elsevier
Publisher Summary This chapter reviews the Maxwell's equations in the time domain and
discusses boundary conditions, various simplifications, and standard normalizations. The …

The method of difference potentials for the Helmholtz equation using compact high order schemes

M Medvinsky, S Tsynkov, E Turkel - Journal of Scientific Computing, 2012 - Springer
The method of difference potentials was originally proposed by Ryaben'kii and can be
interpreted as a generalized discrete version of the method of Calderon's operators in the …

Radiation boundary conditions for Maxwell's equations: a review of accurate time-domain formulations

T Hagstrom, S Lau - Journal of Computational Mathematics, 2007 - JSTOR
We review time-domain formulations of radiation boundary conditions for Maxwell's
equations, focusing on methods which can deliver arbitrary accuracy at acceptable …

Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials

S Britt, S Tsynkov, E Turkel - Journal of Computational Physics, 2018 - Elsevier
We solve the wave equation with variable wave speed on nonconforming domains with
fourth order accuracy in both space and time. This is accomplished using an implicit finite …

A numerically exact nonreflecting boundary condition applied to the acoustic Helmholtz equation

WA Mulder - Geophysics, 2021 - library.seg.org
When modeling wave propagation, truncation of the computational domain to a manageable
size requires nonreflecting boundaries. To construct such a boundary condition on one side …

A method of boundary equations for unsteady hyperbolic problems in 3D

S Petropavlovsky, S Tsynkov, E Turkel - Journal of Computational Physics, 2018 - Elsevier
We consider interior and exterior initial boundary value problems for the three-dimensional
wave (d'Alembert) equation. First, we reduce a given problem to an equivalent operator …