The research of space-time coupled spectral element method for acoustic wave equations  

作　　者：GENG Yanhui QIN Guoliang WANG Yang HE Wei 

机构地区：[1]Institute of Fluid Machinery,Xi'an Jiaotong University

出　　处：《Chinese Journal of Acoustics》2016年第1期29-47,共19页声学学报（英文版）

基　　金：supported by the the State Plan for Development of Basic Research in Key Area(973Project)(2012CB026004)

摘　　要：A space-time coupled spectral element method based on Chebyshev polynomials is presented for solving time-dependent wave equations.Acoustic propagation problems in1＋1,2＋1,3＋1 dimensions with the Dirichlet boundary conditions are simulated via space-time coupled spectral element method using quadrilateral,hexahedral and tesseractic elements respectively.Space-time coupled spectral element method can obtain high-order precision over time.With the same total number of nodes,higher numerical precision is obtained if the higher-order Chebyshev polynomials in space directions and lower-order Chebyshev polynomials in time direction are adopted.Numerical illustrations have indicated that the space-time algorithm provides higher precision than the semi-discretization.When space-time coupled spectral element method is used,time subdomain-by-subdomain approach is more economical than time domain approach.A space-time coupled spectral element method based on Chebyshev polynomials is presented for solving time-dependent wave equations.Acoustic propagation problems in1＋1,2＋1,3＋1 dimensions with the Dirichlet boundary conditions are simulated via space-time coupled spectral element method using quadrilateral,hexahedral and tesseractic elements respectively.Space-time coupled spectral element method can obtain high-order precision over time.With the same total number of nodes,higher numerical precision is obtained if the higher-order Chebyshev polynomials in space directions and lower-order Chebyshev polynomials in time direction are adopted.Numerical illustrations have indicated that the space-time algorithm provides higher precision than the semi-discretization.When space-time coupled spectral element method is used,time subdomain-by-subdomain approach is more economical than time domain approach.

关 键 词：Chebyshev dimensions discretization Dirichlet absolute directions overlapping interpolation convergent contour 

分 类 号：O422[理学—声学] TN78[理学—物理]