000013094 001__ 13094
000013094 005__ 20161114160327.0
000013094 04107 $$aeng
000013094 046__ $$k2009-06-22
000013094 100__ $$aPrempramote, S.
000013094 24500 $$aA high-order doubly asymptotic open boundary condition for scalar waves in a waveguide

000013094 24630 $$n2.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013094 260__ $$bNational Technical University of Athens, 2009
000013094 506__ $$arestricted
000013094 520__ $$2eng$$aA 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

000013094 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013094 653__ $$aOpen Boundary, Doubly Asymptotic, Continued Fraction, Wave Propagation, Absorbing Boundary, Transmitting Boundary. Abstract. 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

000013094 7112_ $$aCOMPDYN 2009 - 2nd International Thematic Conference$$cIsland of Rhodes (GR)$$d2009-06-22 / 2009-06-24$$gCOMPDYN2009
000013094 720__ $$aPrempramote, S.$$iSong, C.
000013094 8560_ $$ffischerc@itam.cas.cz
000013094 8564_ $$s660765$$uhttps://invenio.itam.cas.cz/record/13094/files/CD125.pdf$$yOriginal version of the author's contribution as presented on CD, section: Computational methods for waves - i (MS).
000013094 962__ $$r13074
000013094 980__ $$aPAPER