A high-order doubly asymptotic open boundary condition for scalar waves in a waveguide

Abstract eng:
A high-order doubly asymptotic open boundary condition is developed for the transient analyses of scalar waves propagating in a waveguide. An equation of the dynamic stiffness in the frequency domain of the waveguide is derived from its definition and the wave equation. A doubly asymptotic continued fraction solution of the dynamic stiffness is determined recursively. By introducing auxiliary variables, the open boundary condition is expressed as a system of first-order ordinary differential equations in time. The two time-independent coefficient matrices, the static stiffness and damping matrices, are symmetric and tri-diagonal. Well-established time-stepping schemes in structural dynamics are directly applicable. No other parameters than the orders of the low- and high-frequency expansions need to be selected by the users in the analysis. It is demonstrated analytically or numerically that

• Export as: BibTeX | MARC | MARCXML | DC | EndNote | NLM | RefWorks
• Add to your basket