journal article·2005-03

Solution of Dynamic Problems of Acoustics by the Finite-Difference Method in the Time Domain: Basic Relationships and Analysis of Errors

V. A. Barkhatov

Publisher page

Abstract

The possibility of applying the finite-difference time-domain method for calculating wave processes in a solid is considered. The reliability of this method in acoustical problems is tested. As a result of testing the calculation schemes, the optimum algorithms are found and the conditions are determined under which highly accurate calculation results are attained.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Acoustic Wave Phenomena Research · Electromagnetic Simulation and Numerical Methods · Electromagnetic Scattering and Analysis

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (14)

Show source-provided references
1. Martinod, E., Nadeau, P., Feix, N., Lalande-Guionie, M., Reineix, A., and Jecko, B., Transmission Link Radiation and Localized Defect Contribution, IEEE Trans. Electromagn. Comp., 2001, no. 43(2), pp. 109–116.10.1109/15.925530 ↗
2. Martin, T. and Pettersson, L., Dispersion Compensation for Huygens’ Sources and Far-Zone Transformation in FDTD, IEEE Trans. Antennas Propagat., 2000, no. 48(4), pp. 494–501.10.1109/8.843662 ↗
3. Martynyuk, S., Investigation and Optimization of a Waveguide Slot Antenna Array by Finite-Difference Time-Domain Method, in Int. Conf. on Mathematical Methods in Electromagnetic Theory, MMET-2000, Kharkov, 2000, vol. 1, pp. 166–168.10.1109/MMET.2000.888537 ↗
4. Moglie, F., Convergence of the Reverberation Chambers to the Equilibrium Analyzed with the Finite-Difference Time-Domain Algorithm, IEEE Trans. Electromagn. Comp., 2004, no. 46(3), pp. 469–476.10.1109/TEMC.2004.831904 ↗
5. Millard, X. and Liu, O.H., Simulation of Near-Surface Detection of Objects in Layered Media by the BCGS-FFT Method, IEEE Trans. Geosci. Remote Sensing, 2004, no. 42(2), pp. 327–334.10.1109/TGRS.2003.817799 ↗
6. Yuan, X., Borup, D., Wiskin, J.W., Berggren, M., Eidens, R., and Lohnson, S.A., Formulation and Validation of Berenger’s PML Absorbing Boundary for the FDTD Simulation of Acoustic Scattering, IEEE Trans. Ultrason., Ferroel., Freq. Contr., 1997, no. 44(4), pp. 816–822.10.1109/58.655197 ↗
7. Morita, N., Hiromi, T., Nakamura, O., and Okazaki, K., Cylindrical Coordinates Three-Dimensional FDTD Analysis of Ultrasonic Pulse Propagation in Biological Tissues, Trans. IEICE, A, (Jpn.) 1998, vol. J81, no.1, pp. 9–16 [in Japanese].
8. Yuan, X., Borup, D., Wiskin, J., Berggren, M., and Johnson, S. A., Simulation of Acoustic Wave Propagation in Despersive Media with Relaxation Losses by Using FDTD Method with PML Absorbing boundary Condition, IEEE Trans. Ultrason., Ferroel., Freq. Contr., 1999, no. 46(1), pp. 14–23.10.1109/58.741419 ↗
9. Schechter, R.S., Simmonds, K.E., Batra, N.K., Mignogna, R.B., and Delsanto, P.P., Use of a Transient Wave Propagation Code for 3D Simulation of CW Radiated Transducer Fields, Ultrasonics, 1999, vol. 37 no.2, pp. 89–96.10.1016/S0041-624X(98)00053-5 ↗
10. Torres, M. and Montero de Espinosa, F.R., Ultrasonic Band Gaps and Negative Refraction, Ultrasonics, 2004, vol. 42, nos.1–9, pp. 787–790.10.1016/j.ultras.2004.01.041 ↗
11. Schechter, R.S., Simmonds, K.E., and Mignogna, R.B., Computational and Experimental Investigation of the Fields Generated by a 1–3 Piezocomposite Transducer, Ultrasonics, 2001, vol. 39, no.3, pp. 163–172.10.1016/S0041-624X(00)00068-8 ↗
12. Mensah, S. and Ferriere, R., Diffraction Tomography. A Geometric Distortion Free Procedure, Ultrasonics, 2004, vol. 42, nos.1–9, pp. 677–682.10.1016/j.ultras.2003.11.012 ↗
13. Kalitkin, N.N., Chislennye metody (Calculus of Approximations), Moscow: Nauka, 1978.
14. Turchak, L.I., Osnovy chislennykh metodov (Calculus of Approximations: Basic Principles), Moscow: Nauka, 1987.