title: Broadband impedance boundary conditions for the simulation of sound propagation in the time domain.
abstract: An accurate and practical surface impedance boundary condition in the time domain has been developed for application to broadband-frequency simulation in aeroacoustic problems. To show the capability of this method, two kinds of numerical simulations are performed and compared with the analytical/experimental results: one is acoustic wave reflection by a monopole source over an impedance surface and the other is acoustic wave propagation in a duct with a finite impedance wall. Both single-frequency and broadband-frequency simulations are performed within the framework of linearized Euler equations. A high-order dispersion-relation-preserving finite-difference method and a low-dissipation, low-dispersion Runge-Kutta method are used for spatial discretization and time integration, respectively. The results show excellent agreement with the analytical/experimental results at various frequencies. The method accurately predicts both the amplitude and the phase of acoustic pressure and ensures the well-posedness of the broadband time-domain impedance boundary condition.
authors.affiliation: Department of Mathematics, Florida State University, Tallahassee, Florida 32306, USA. jbin@scs.fsu.edu
authors.forename: Jonghoon
authors.initials: J
authors.lastname: Bin
authors.forename: M
authors.initials: M
authors.lastname: Yousuff Hussaini
authors.forename: Soogab
authors.initials: S
authors.lastname: Lee
mesh_terms: D000162:Acoustics; D000465:Algorithms; D003198:Computer Simulation; D016014:Linear Models; D008962:Models, Theoretical; D009038:Motion; D009716:Numerical Analysis, Computer-Assisted; D011312:Pressure; D015203:Reproducibility of Results; D013016:Sound; D013499:Surface Properties; D013997:Time Factors