Abstract
The finite-difference time-domain (FDTD) method has been the only choice of time-domain methods for practical applications with its simplicity and efficiency. However, the simple discretization of the simple wave equation model in which the method has its basis is not sufficient for modeling more complex wave propagation phenomena, high-accuracy simulations, or acoustic fields with complex geometries. In this chapter, alternative time-domain methods that may be applied to such situations are discussed as follows: the linearized Euler equation (LEE) method, the constrained interpolation profile (CIP) method, and the finite-volume time-domain (FVTD) method. The LEE method is applicable to wave propagation phenomena under the influence of arbitrary background flows. The main application of the method is sound propagation simulations outdoors where wind effects are not negligible. The CIP method is characteristic in that the method is in principle free from numerical dispersion. The characteristic allows simulations with high phase accuracy. The FVTD method is constructed on an unstructured grid system. The method thus has an advantage in modeling complex geometries compared to the FDTD method where orthogonal structured grid is used.
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Oshima, T., Ishizuka, T., Okubo, K. (2014). Alternative Time-Domain Methods. In: Sakuma, T., Sakamoto, S., Otsuru, T. (eds) Computational Simulation in Architectural and Environmental Acoustics. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54454-8_5
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