Finite-difference time-domain method

Shinichi Sakamoto; Hideo Tsuru; Masahiro Toyoda; Takumi Asakura

doi:10.1007/978-4-431-54454-8_2

Finite-difference time-domain method

Shinichi Sakamoto, Hideo Tsuru, Masahiro Toyoda, Takumi Asakura

Department of Mechanical and Aerospace Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

In this chapter, analysis of sound and vibration using the Finite-Difference Time-Domain method (FDTD method) is illustrated. In Sect. 2.1, the fundamentals of the FDTDmethod are described. In the FDTDmethod, several error factors caused by discretization of sound field are pointed out. As methods to solve such problems, in Sect. 2.2, the compact finite difference is described in detail. The FDTD method can not only be applied to acoustic problem of air-borne sound, but also vibroacoustic problems such as a floor impact sound and a sound insulation problem through a wall structure. In Sect. 2.3, therefore, application of the FDTD method to vibroacoustic problems is focused on, and the theoretical background and its numerical formulation are described in detail.

Original language	English
Title of host publication	Computational Simulation in Architectural and Environmental Acoustics
Subtitle of host publication	Methods and Applications of Wave-Based Computation
Publisher	Springer Japan
Pages	11-51
Number of pages	41
Volume	9784431544548
ISBN (Electronic)	9784431544548
ISBN (Print)	4431544534, 9784431544531
DOIs	https://doi.org/10.1007/978-4-431-54454-8_2
Publication status	Published - 1 Nov 2014

Keywords

4) method
Compact finite difference
FDTD(2
Finite-difference time-domain (FDTD) method
Perfectly matched layer (PML)
Stability condition
Vibro-acoustic problem

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10.1007/978-4-431-54454-8_2

Cite this

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title = "Finite-difference time-domain method",

abstract = "In this chapter, analysis of sound and vibration using the Finite-Difference Time-Domain method (FDTD method) is illustrated. In Sect. 2.1, the fundamentals of the FDTDmethod are described. In the FDTDmethod, several error factors caused by discretization of sound field are pointed out. As methods to solve such problems, in Sect. 2.2, the compact finite difference is described in detail. The FDTD method can not only be applied to acoustic problem of air-borne sound, but also vibroacoustic problems such as a floor impact sound and a sound insulation problem through a wall structure. In Sect. 2.3, therefore, application of the FDTD method to vibroacoustic problems is focused on, and the theoretical background and its numerical formulation are described in detail.",

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N2 - In this chapter, analysis of sound and vibration using the Finite-Difference Time-Domain method (FDTD method) is illustrated. In Sect. 2.1, the fundamentals of the FDTDmethod are described. In the FDTDmethod, several error factors caused by discretization of sound field are pointed out. As methods to solve such problems, in Sect. 2.2, the compact finite difference is described in detail. The FDTD method can not only be applied to acoustic problem of air-borne sound, but also vibroacoustic problems such as a floor impact sound and a sound insulation problem through a wall structure. In Sect. 2.3, therefore, application of the FDTD method to vibroacoustic problems is focused on, and the theoretical background and its numerical formulation are described in detail.

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Finite-difference time-domain method

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Keywords

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