Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418757 | Journal of Mathematical Analysis and Applications | 2014 | 17 Pages |
Abstract
In this paper, we propose complete radiation boundary conditions (CRBCs) for solutions of the convected Helmholtz equation with a uniform mean flow in a waveguide. We first study CRBCs for the Helmholtz equation in a waveguide. Noting that the convected Helmholtz equation is associated with the Helmholtz equation via the Prandtl-Glauert transformation, CRBCs for the convected Helmholtz equation is derived from CRBCs for the Helmholtz equation. We analyse well-posedness and convergence of approximate solutions satisfying CRBCs for the convected Helmholtz equation. In addition, simple numerical experiments will be presented to confirm the theoretical results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Seungil Kim,