Acoustics: an introduction to its physical principles and applications
1983; Elsevier BV; Volume: 21; Issue: 3 Linguagem: Inglês
10.1016/0041-624x(83)90035-5
ISSN1874-9968
Autores Tópico(s)Electromagnetic Simulation and Numerical Methods
ResumoIn 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.
Referência(s)