Analysis of the convected Helmholtz equation with a uniform mean flow in a waveguide with complete radiation boundary conditions

DOI10.1016/j.jmaa.2013.08.018zbMath1316.35094OpenAlexW2082214055MaRDI QIDQ2260418

Seungil Kim

Publication date: 10 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.08.018

zbMATH Keywords

Helmholtz equationwaveguideconvected Helmholtz equationPrandtl-Glauert transformationcomplete radiation boundary conditions

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Construction and Numerical Assessment of Local Absorbing Boundary Conditions for Heterogeneous Time-Harmonic Acoustic Problems ⋮ Analysis of the non-reflecting boundary condition for the time-harmonic electromagnetic wave propagation in waveguides ⋮ Low-order Prandtl-Glauert-Lorentz based absorbing boundary conditions for solving the convected Helmholtz equation with discontinuous Galerkin methods ⋮ CHAOTIC BEHAVIOR IN FRACTIONAL HELMHOLTZ AND KELVIN–HELMHOLTZ INSTABILITY PROBLEMS WITH RIESZ OPERATOR ⋮ Computation of uniform mean flow acoustic scattering by single layer regularized meshless method ⋮ Complete radiation boundary conditions for the Helmholtz equation. I: Waveguides ⋮ Error analysis of PML-FEM approximations for the Helmholtz equation in waveguides ⋮ FRACTIONAL ORDER SOBOLEV SPACES FOR THE NEUMANN LAPLACIAN AND THE VECTOR LAPLACIAN ⋮ Application of a complete radiation boundary condition for the Helmholtz equation in locally perturbed waveguides ⋮ Optimized Schwarz Method with Complete Radiation Transmission Conditions for the Helmholtz Equation in Waveguides

Uses Software

• deal.ii

Cites Work

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