메뉴 건너뛰기




Volumn 4, Issue 2, 2012, Pages 145-161

Fast multipole Burton-Miller boundary element method for two and three-dimensional acoustic scattering

Author keywords

Acoustic scattering; Boundary element method; Burton Miller formulation; Fast multipole method

Indexed keywords

ACOUSTIC WAVE SCATTERING; BOUNDARY INTEGRAL EQUATIONS; SAILING VESSELS;

EID: 84863334686     PISSN: 19849648     EISSN: 21759146     Source Type: Journal    
DOI: 10.5028/jatm.2012.04021812     Document Type: Article
Times cited : (5)

References (40)
  • 1
    • 0023422779 scopus 로고
    • Improper Integrals in Theoretical Aerodynamics: The Problem Revisited
    • Brandão, M. P., 1987, "Improper Integrals in Theoretical Aerodynamics: The Problem Revisited, " AIAA Journal, Vol. 25, pp. 1258-1260.
    • (1987) AIAA Journal , vol.25 , pp. 1258-1260
    • Brandão, M.P.1
  • 2
    • 0000181954 scopus 로고
    • The Application of Integral Equation Methods to the Numerical Solution of some Exterior Boundary-Value Problems
    • Burton, A. J., Miller, G. F., 1971, "The Application of Integral Equation Methods to the Numerical Solution of some Exterior Boundary-Value Problems, " Proceedings of the Royal Society ofLondon, Series A, Vol. 323, pp. 201-210.
    • (1971) Proceedings of the Royal Society ofLondon, Series A , vol.323 , pp. 201-210
    • Burton, A.J.1    Miller, G.F.2
  • 3
    • 0001238977 scopus 로고
    • A Fast Adaptive Multipole Algorithm for Particle Simulations
    • Carrier, J. et al., 1988, "A Fast Adaptive Multipole Algorithm for Particle Simulations, " SIAM Journal on Scientific and Statistical Computing, Vol. 9, No. 4, pp. 669-686.
    • (1988) SIAM Journal on Scientific and Statistical Computing , vol.9 , Issue.4 , pp. 669-686
    • Carrier, J.1
  • 4
    • 2342523235 scopus 로고    scopus 로고
    • Applications of the Dual Integral Formulation in Conjunction with Fast Multipole Method in Large-Scale Problems for 2D Exterior Acoustics
    • Chen, J. T., Chen, K. H., 2003, "Applications of the Dual Integral Formulation in Conjunction with Fast Multipole Method in Large-Scale Problems for 2D Exterior Acoustics, " Engineering Analysis withBoundary Elements, Vol. 28, pp. 685-709.
    • (2003) Engineering Analysis withBoundary Elements , vol.28 , pp. 685-709
    • Chen, J.T.1    Chen, K.H.2
  • 5
    • 0000362580 scopus 로고    scopus 로고
    • A Fast Adaptive Multipole Algorithm in Three Dimensions
    • Cheng, H., et al., 1999, "A Fast Adaptive Multipole Algorithm in Three Dimensions, " Journal of Computational Physics, Vol. 155, pp. 468-498.
    • (1999) Journal of Computational Physics , vol.155 , pp. 468-498
    • Cheng, H.1
  • 6
    • 26944464197 scopus 로고    scopus 로고
    • An Adaptive Fast Solver for the Modified Helmholtz Equation in Two Dimensions
    • Cheng, H., et al., 2006, "An Adaptive Fast Solver for the Modified Helmholtz Equation in Two Dimensions, " Journal of Computational Physics, Vol. 211, pp. 616-637.
    • (2006) Journal of Computational Physics , vol.211 , pp. 616-637
    • Cheng, H.1
  • 7
    • 0025102231 scopus 로고
    • An Effective Method for Solving the Hypersingular Integral Equations in 3-D Acoustics
    • Chien, C. C., et al., 1990, "An Effective Method for Solving the Hypersingular Integral Equations in 3-D Acoustics, " Journal of Acoustic Society of America, Vol. 88, pp. 918-937.
    • (1990) Journal of Acoustic Society of America , vol.88 , pp. 918-937
    • Chien, C.C.1
  • 8
    • 0034455094 scopus 로고    scopus 로고
    • The FastMultipole Method I: Error Analysis and Asymptotic Complexity
    • Darve, E., 2000, "The FastMultipole Method I: Error Analysis and Asymptotic Complexity, " SIAM Journal on Numerical Analysis, Vol. 38, No. 1, pp. 98-128.
    • (2000) SIAM Journal on Numerical Analysis , vol.38 , Issue.1 , pp. 98-128
    • Darve, E.1
  • 9
    • 2942623786 scopus 로고    scopus 로고
    • Efficient Fast Multipole Method for Low-Frequency Scattering
    • Darve, E., Have P., 2004, "Efficient Fast Multipole Method for Low-Frequency Scattering, " Journal of Computational Physics, Vol. 197, pp. 341-363.
    • (2004) Journal of Computational Physics , vol.197 , pp. 341-363
    • Darve, E.1    Have, P.2
  • 10
    • 68149139938 scopus 로고    scopus 로고
    • Numerical Methods: Fast Multipole Method for Shielding Effects
    • AIAA Paper2005-2971
    • Delnevo, A., et al., 2005, "Numerical Methods: Fast Multipole Method for Shielding Effects, " Proceedings of the 11th AIAA/CEAS Aeroacoustics Conference, AIAA Paper2005-2971, pp. 1-9.
    • (2005) Proceedings of the 11th AIAA/CEAS Aeroacoustics Conference , pp. 1-9
    • Delnevo, A.1
  • 12
    • 0001698339 scopus 로고
    • Multipole Translation Theory for the Three-Dimensional Laplace and Helmholtz Equations
    • Epton, M. A., Dembart, B., 1995, "Multipole Translation Theory for the Three-Dimensional Laplace and Helmholtz Equations, " SIAM Journal on Scientific Computing, Vol. 16, No. 4, pp. 865-897.
    • (1995) SIAM Journal on Scientific Computing , vol.16 , Issue.4 , pp. 865-897
    • Epton, M.A.1    Dembart, B.2
  • 13
    • 0030108429 scopus 로고    scopus 로고
    • Massive Parallel Computation for Acoustical Scattering Problems Using Boundary Element Methods
    • Geng, P., et al., 1996, "Massive Parallel Computation for Acoustical Scattering Problems Using Boundary Element Methods, " Journal of Sound and Vibration, Vol. 191, pp. 145-165.
    • (1996) Journal of Sound and Vibration , vol.191 , pp. 145-165
    • Geng, P.1
  • 15
    • 4043059961 scopus 로고    scopus 로고
    • Recursions for the Computation of Multipole Translation and Rotation Coefficients for the 3-D Helmholtz Equation
    • Gumerov, N. A., Duraiswami, R., 2003, "Recursions for the Computation of Multipole Translation and Rotation Coefficients for the 3-D Helmholtz Equation, " SIAM Journal on Scientific Computing, Vol. 25, No. 4, pp. 1344-1381.
    • (2003) SIAM Journal on Scientific Computing , vol.25 , Issue.4 , pp. 1344-1381
    • Gumerov, N.A.1    Duraiswami, R.2
  • 17
    • 0032396792 scopus 로고    scopus 로고
    • A Convergence Theorem for the Fast Multipole Method for 2 Dimensional Scattering Problems
    • Labreuche, C., 1998, "A Convergence Theorem for the Fast Multipole Method for 2 Dimensional Scattering Problems, " Mathematics of Computation, Vol. 67, No. 222, pp. 553-591.
    • (1998) Mathematics of Computation , vol.67 , Issue.222 , pp. 553-591
    • Labreuche, C.1
  • 18
    • 78751644833 scopus 로고    scopus 로고
    • AFast Multipole Boundary Element Method Based on the Improved Burton-Miller Formulation for Three-Dimensional Acoustic Problems
    • Li, S., Huang, Q., 2011, "AFast Multipole Boundary Element Method Based on the Improved Burton-Miller Formulation for Three-Dimensional Acoustic Problems, " Engineering Analysis with Boundary Elements, Vol. 35, pp. 719-728.
    • (2011) Engineering Analysis with Boundary Elements , vol.35 , pp. 719-728
    • Li, S.1    Huang, Q.2
  • 19
    • 0026851375 scopus 로고
    • A Weakly Singular Form of the Hypersingular Boundary Integral Equation Applied to 3D Acoustic Wave Problems
    • Liu, Y. J., Rizzo, F. J., 1992, "A Weakly Singular Form of the Hypersingular Boundary Integral Equation Applied to 3D Acoustic Wave Problems, " Computer Methods in Applied Mechanics andEngineering, Vol. 96, pp. 271-287.
    • (1992) Computer Methods in Applied Mechanics andEngineering , vol.96 , pp. 271-287
    • Liu, Y.J.1    Rizzo, F.J.2
  • 22
    • 0028999642 scopus 로고
    • The Scattering of Sound from a Spatially Distributed Axisymmetric Cylindrical Source by a Circular Cylinder
    • Morris, P. J., 1995a, "The Scattering of Sound from a Spatially Distributed Axisymmetric Cylindrical Source by a Circular Cylinder, " Journal of Acoustic Society of America, Vol. 97, pp. 2651-2656.
    • (1995) Journal of Acoustic Society of America , vol.97 , pp. 2651-2656
    • Morris, P.J.1
  • 23
    • 0028788746 scopus 로고
    • Scattering of Sound from a Spatially Distributed, Spherically Symmetric Source by a Sphere
    • Morris, P. J., 1995b, "Scattering of Sound from a Spatially Distributed, Spherically Symmetric Source by a Sphere, " Journal of Acoustic Society of America, Vol. 98, pp. 3536-3539.
    • (1995) Journal of Acoustic Society of America , vol.98 , pp. 3536-3539
    • Morris, P.J.1
  • 24
    • 0038377193 scopus 로고    scopus 로고
    • Fast Multipole Accelerated Boundary Integral Equation Methods
    • Nishimura, N., 2002, "Fast Multipole Accelerated Boundary Integral Equation Methods, " Applied Mechanics Reviews, Vol. 55, No. 4, pp. 299-324.
    • (2002) Applied Mechanics Reviews , vol.55 , Issue.4 , pp. 299-324
    • Nishimura, N.1
  • 25
    • 0021372201 scopus 로고
    • Acoustic Radiation from Vibrating Surface at Characteristic Frequencies
    • Piaszczyk, C. M., Klosner, J. M., 1984, "Acoustic Radiation from Vibrating Surface at Characteristic Frequencies, " Journal of Acoustic Society of America, Vol. 75, pp. 363-375.
    • (1984) Journal of Acoustic Society of America , vol.75 , pp. 363-375
    • Piaszczyk, C.M.1    Klosner, J.M.2
  • 26
    • 0000431418 scopus 로고
    • Rapid Solution of Integral Equations of Scattering Theory in Two Dimensions
    • Rokhlin, V., 1990, "Rapid Solution of Integral Equations of Scattering Theory in Two Dimensions, " Journal of Computational Physics, Vol. 86, pp. 414-439.
    • (1990) Journal of Computational Physics , vol.86 , pp. 414-439
    • Rokhlin, V.1
  • 27
    • 46549096170 scopus 로고
    • Rapid Solution of Integral Equations of Classical Potential Theory
    • Rokhlin, V., 1983, "Rapid Solution of Integral Equations of Classical Potential Theory, " Journal of Computational Physics, Vol. 60, pp. 187-207.
    • (1983) Journal of Computational Physics , vol.60 , pp. 187-207
    • Rokhlin, V.1
  • 28
    • 14244273429 scopus 로고    scopus 로고
    • Fast Multipole Boundary Element Method for Large-Scale Steady-State Sound Field Analysis. Part I: Setup and Validation
    • Sakuma, T., Yasuda, Y., 2002, "Fast Multipole Boundary Element Method for Large-Scale Steady-State Sound Field Analysis. Part I: Setup and Validation, " Acta Acustica-Acustica, Vol. 88, pp. 513-525.
    • (2002) Acta Acustica-Acustica , vol.88 , pp. 513-525
    • Sakuma, T.1    Yasuda, Y.2
  • 29
    • 84953655023 scopus 로고
    • Improved Integral Formulation for Acoustic Radiation Problems
    • Schenck, H. A., 1968, "Improved Integral Formulation for Acoustic Radiation Problems, " Journal of Acoustic Society of America, Vol. 44, pp. 41-58.
    • (1968) Journal of Acoustic Society of America , vol.44 , pp. 41-58
    • Schenck, H.A.1
  • 30
    • 0001000229 scopus 로고
    • The Use of CHIEF to Obtain Unique Solutions for Acoustic Radiation Using Boundary Integral Equations
    • Seybert, A. F., Rengarajan, T. K., 1987, "The Use of CHIEF to Obtain Unique Solutions for Acoustic Radiation Using Boundary Integral Equations, " Journal of Acoustic Society of America, Vol. 81, pp. 1299-1306.
    • (1987) Journal of Acoustic Society of America , vol.81 , pp. 1299-1306
    • Seybert, A.F.1    Rengarajan, T.K.2
  • 31
    • 34250874558 scopus 로고    scopus 로고
    • An Adaptive Fast Multipole Boundary Element Method for Three-Dimensional Acoustic Wave Problems Based on the Burton-Miller Formulation
    • Shen, L., Liu, Y. J., 2007, "An Adaptive Fast Multipole Boundary Element Method for Three-Dimensional Acoustic Wave Problems Based on the Burton-Miller Formulation, " Computational Mechanics, Vol. 40, pp. 461-472.
    • (2007) Computational Mechanics , vol.40 , pp. 461-472
    • Shen, L.1    Liu, Y.J.2
  • 32
    • 0002716979 scopus 로고
    • CGS, a Fast Lanczos-type Solver for Nonsymmetric Linear Systems
    • Sonneveld, P., 1989, "CGS, a Fast Lanczos-type Solver for Nonsymmetric Linear Systems, " SIAM Journal on Scientific and Statistical Computing, Vol. 10, pp. 36-52.
    • (1989) SIAM Journal on Scientific and Statistical Computing , vol.10 , pp. 36-52
    • Sonneveld, P.1
  • 34
    • 84884807985 scopus 로고    scopus 로고
    • Curved Duct Noise Prediction Using the Fast Scattering Code
    • AIAAPaper 2007-3528
    • Tinetti, A. F., et al., 2007, "Curved Duct Noise Prediction Using the Fast Scattering Code, " Proceedings of the 13th AIAA/CEAS Aeroacoustics Conference, AIAAPaper 2007-3528, pp. 1-15.
    • (2007) Proceedings of the 13th AIAA/CEAS Aeroacoustics Conference , pp. 1-15
    • Tinetti, A.F.1
  • 35
    • 78649531409 scopus 로고    scopus 로고
    • Fast Acoustic Scattering Simulations with Non-Uniform Potential Flow Effects
    • AIAAPaper 2010-3712
    • Wolf, W. R., Lele, S. K., 2010, "Fast Acoustic Scattering Simulations with Non-Uniform Potential Flow Effects, " Proceedings of the 16th AIAA/CEAS Aeroacoustics Conference, AIAAPaper 2010-3712, pp. 1-12.
    • (2010) Proceedings of the 16th AIAA/CEAS Aeroacoustics Conference , pp. 1-12
    • Wolf, W.R.1    Lele, S.K.2
  • 36
    • 78149444472 scopus 로고    scopus 로고
    • Assessment of Fast Multipole Method Formulations for Acoustic Scattering
    • AIAA Paper2009-3229, pp. 1-19
    • Wolf, W. R., Lele, S. K., 2009, "Assessment of Fast Multipole Method Formulations for Acoustic Scattering, " Proceedings of the 15th AIAA/CEAS Aeroacoustics Conference, AIAA Paper2009-3229, pp. 1-19.
    • (2009) Proceedings of the 15th AIAA/CEAS Aeroacoustics Conference
    • Wolf, W.R.1    Lele, S.K.2
  • 37
    • 80052598461 scopus 로고    scopus 로고
    • Diagonal Form Fast Multipole Boundary Element Method for 2D Acoustic Problems Based on Burton-Miller Boundary Integral Equation Formulation and its Applications
    • Wu, H., et al., 2011, "Diagonal Form Fast Multipole Boundary Element Method for 2D Acoustic Problems Based on Burton-Miller Boundary Integral Equation Formulation and its Applications, " AppliedMathematics andMechanics, Vol. 32, pp. 981-996.
    • (2011) AppliedMathematics andMechanics , vol.32 , pp. 981-996
    • Wu, H.1
  • 38
    • 84862796000 scopus 로고    scopus 로고
    • A Fast Multipole Boundary Element Method for 3D Multi-Domain Acoustic Scattering Problems Based on the Burton-Miller Formulation
    • Wu, H., et al., 2012, "A Fast Multipole Boundary Element Method for 3D Multi-Domain Acoustic Scattering Problems Based on the Burton-Miller Formulation, " Engineering Analysis withBoundary Elements, Vol. 36, pp. 779-788.
    • (2012) Engineering Analysis withBoundary Elements , vol.36 , pp. 779-788
    • Wu, H.1
  • 40
    • 85160301419 scopus 로고    scopus 로고
    • Fast Multipole Boundary Element Method for Large-Scale Steady-State Sound Field Analysis. Part II: Examination of Numerical Items
    • Yasuda, Y., Sakuma, T., 2002, "Fast Multipole Boundary Element Method for Large-Scale Steady-State Sound Field Analysis. Part II: Examination of Numerical Items, " Acta Acustica-Acustica, Vol. 88, pp. 513-525.
    • (2002) Acta Acustica-Acustica , vol.88 , pp. 513-525
    • Yasuda, Y.1    Sakuma, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.