Boundary conditions, pseudospectral methods, and the discrete cosine transform

Bradley Treeby (ANU)

APPLIED SIGNAL PROCESSING SERIES

DATE: 2012-08-09
TIME: 10:00:00 - 11:00:00
LOCATION: RSISE Seminar Room, ground floor, building 115, cnr. North and Daley Roads, ANU
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ABSTRACT:
The Fourier psuedospectral method is a computationally efficient approach for solving hyperbolic equations like the wave equation. However, the use of the fast Fourier transform (FFT) to compute spatial gradients inherently assumes that the field is periodic. In the case of acoustics, this means waves leaving one side of the domain will re-appear on the other side; not a very physical occurrence! Here, we discuss how the discrete sine and cosine transforms can be used in place of the FFT to apply other types of boundary conditions.
BIO:
Bradley is a Research Fellow in the ASP group.