Acoustic scattering from rigid bodies of arbitrary shape - Double layer formulation

被引:14
作者
Chandrasekhar, B [1 ]
Rao, SM [1 ]
机构
[1] Indian Inst Sci, Supercomp Educ & Res Ctr, Bangalore 560012, Karnataka, India
关键词
D O I
10.1121/1.1703536
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
In this work, a numerical method is presented, based on the well-known method of moments (MoM), to calculate the acoustic fields scattered by a three-dimensional, arbitrarily shaped, acoustically rigid body subjected to a plane wave incidence. The mathematical formulation is based on the potential theory and, in this work, the numerical method is applicable to the so-called double layer formulation (DLF). The scattering body is approximated by planar triangular patches. For the MoM solution using triangular patch modeling, edge-based basis functions are utilized to approximate the source distribution efficiently. These basis functions along with an appropriate testing procedure generates a simple numerical algorithm that is versatile enough to be applicable to closed, as well as open bodies. Finally, the present solution method is validated with several representative examples. (C) 2004 Acoustical Society of America.
引用
收藏
页码:1926 / 1933
页数:8
相关论文
共 25 条
[1]   AN INVESTIGATION OF BOUNDARY ELEMENT METHODS FOR THE EXTERIOR ACOUSTIC PROBLEM [J].
AMINI, S ;
WILTON, DT .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1986, 54 (01) :49-65
[2]  
[Anonymous], 1980, ACOUSTIC ELECTROMAGN
[3]  
Bowman J. J., 1969, ELECTROMAGNETIC ACOU
[4]  
BURTON AJ, 1971, P ROY SOC LOND A MAT, V323, P601
[5]   AN EFFECTIVE METHOD FOR SOLVING THE HYPERSINGULAR INTEGRAL-EQUATIONS IN 3-D ACOUSTICS [J].
CHIEN, CC ;
RAJIYAH, H ;
ATLURI, SN .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1990, 88 (02) :918-937
[6]  
Hammer PC, 1956, Math Comput, V10, P130, DOI DOI 10.2307/2002483
[7]  
Harrington R. F., 1968, FIELD COMPUTATION ME
[8]   BOUNDARY INTEGRAL CALCULATIONS OF SCATTERED FIELDS - APPLICATION TO A SPACECRAFT LAUNCHER [J].
MALBEQUI, P ;
CANDEL, SM ;
RIGNOT, E .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1987, 82 (05) :1771-1781
[9]   *ZUR FORMULIERUNG EINES ALLGEMEINEN BEUGUNGS-PROBLEMS DURCH EINE INTEGRALGLEICHUNG [J].
MAUE, AW .
ZEITSCHRIFT FUR PHYSIK, 1949, 126 (7-9) :601-618
[10]   BOUNDARY INTEGRAL SOLUTIONS OF 3 DIMENSIONAL ACOUSTIC RADIATION PROBLEMS [J].
MEYER, WL ;
BELL, WA ;
ZINN, BT ;
STALLYBRASS, MP .
JOURNAL OF SOUND AND VIBRATION, 1978, 59 (02) :245-262