Methods in Solving the Wave Equations for A Loudspeaker

被引:0
作者
Zeng, J. [1 ]
Wang, H. [2 ]
Dong, J. Y. [3 ]
机构
[1] Ocean Univ China, Coll Marine Life Sci, 5 Yushan Rd, Qingdao 266003, Peoples R China
[2] Ocean Univ China, Coll Phys & Environm Oceanog, Qingdao 266100, Peoples R China
[3] Ocean Univ China, Dept Comp Sci & Technol, Qingdao 266100, Peoples R China
来源
PROCEEDINGS OF THE 2ND INTERNATIONAL CONFERENCE ON COMPUTER AND INFORMATION APPLICATIONS (ICCIA 2012) | 2012年
基金
中国国家自然科学基金;
关键词
separation of variables; finite difference; integral; transform; retarded potential; loudspeaker; ACOUSTIC SCATTERING; ENVELOPE ELEMENTS; INTEGRAL-EQUATION; ARBITRARY SHAPE; HARD SURFACE; TIME-DOMAIN; TRANSIENT; RADIATION; SCHEME; FIELDS;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper introduces several methods in solving the wave equations for a loudspeaker. The separation of variables method is very common for solving constant coefficient linear partial differential problems. The finite difference method has been the main method of numerical computation in early work. The direct method is to formulate the boundary integral equation and can be solved using a direct time integration procedure. There are also some transform methods such as Fourier, Laplaces and wavelet transforms etc. to solve the wave equations. The retarded potential technique to solve the wave problems numerically was first used in the early 1960s. Since then, many authors have worked on the method and its applications.
引用
收藏
页码:1670 / 1673
页数:4
相关论文
共 24 条
[1]  
Alberto Villarreal, 1997, COMPUT PHYS, V11, P388
[2]   Transient wave envelope elements for wave problems [J].
Astley, RJ .
JOURNAL OF SOUND AND VIBRATION, 1996, 192 (01) :245-261
[3]   MAPPED WAVE ENVELOPE ELEMENTS FOR ACOUSTICAL RADIATION AND SCATTERING [J].
ASTLEY, RJ ;
MACAULAY, GJ ;
COYETTE, JP .
JOURNAL OF SOUND AND VIBRATION, 1994, 170 (01) :97-118
[4]   Dynamic analysis in solid mechanics by an alternative boundary element procedure [J].
Brebbia, CA ;
Nardini, D .
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2000, 24 (7-8) :513-518
[5]  
Clive R. Chester, 1971, TECHNIQUES PARTIAL D
[6]   A stability analysis of a time marching scheme for the general surface electric field integral equation [J].
Davies, PJ .
APPLIED NUMERICAL MATHEMATICS, 1998, 27 (01) :33-57
[7]   A GALERKIN SCHEME FOR THE TIME DOMAIN INTEGRAL-EQUATION OF ACOUSTIC SCATTERING FROM A HARD SURFACE [J].
DING, Y ;
FORESTIER, A ;
DUONG, TH .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1989, 86 (04) :1566-1572
[8]  
Fabian M.E. Duddeck, 2002, FOURIER BEM GEN BOUN
[9]   TRANSIENT ACOUSTIC FIELDS GENERATED BY A BODY OF ARBITRARY SHAPE [J].
FARN, CLS ;
HUANG, H .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1968, 43 (02) :252-&
[10]  
FILIPE M, 1995, SIAM PROC S, P140