Pseudospectral time-domain (PSTD) methods for the wave equation: Realising boundary conditions with discrete sine and cosine transforms
E. S. Wise,
J. Jaros,
B. T. Cox
et al.
Abstract:Pseudospectral time domain (PSTD) methods are widely used in many branches of acoustics for the numerical solution of the wave equation, including biomedical ultrasound and seismology. The use of the Fourier collocation spectral method in particular has many computational advantages, including a reduced number of grid points required for accurate simulations. However, the use of a discrete Fourier basis is also inherently restricted to solving problems with periodic boundary conditions. This means that waves e… Show more
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