An explicit time integration scheme for the analysis of wave propagations

被引:222
作者
Noh, Gunwoo [1 ]
Bathe, Klaus-Juergen [1 ]
机构
[1] MIT, Cambridge, MA 02139 USA
关键词
Wave propagation; Finite elements; Explicit time integration; Desirable numerical dissipation; Numerical dispersion; Bathe implicit time integration; FINITE-ELEMENT-METHOD; HELMHOLTZ-EQUATION; DISPERSION; DIFFERENCE; ALGORITHMS; DYNAMICS; ENERGY;
D O I
10.1016/j.compstruc.2013.06.007
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A new explicit time integration scheme is presented for the solution of wave propagation problems. The method is designed to have small solution errors in the frequency range that can spatially be represented and to cut out high spurious frequencies. The proposed explicit scheme is second-order accurate for systems with and without damping, even when used with a non-diagonal damping matrix. The stability, accuracy and numerical dispersion are analyzed, and solutions to problems are given that illustrate the performance of the scheme. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码:178 / 193
页数:16
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