This page contains the most relevant publications within the PSTD method as developed by scientists from the openPSTD team.
Recent publications (2013-2021)
Hybrid PSTD/DG method for sound propagation in a moving medium
Cosnefroy, M., Hornikx, M. (2021). Hybrid Fourier pseudospectral/discontinuous Galerkin time-domain method for urban sound propagation in a moving atmosphere, Euronoise 2021.
Hybrid PSTD/DG method!
Pagan Munoz, R., Hornikx, M. (2017). Hybrid Fourier pseudospectral / discontinuous Galerkin time-domain method for wave propagation, J. Comp. Phys. 348 (2017), 416-432.
Source directivity in openPSTD
Georgiou, F., Hornikx, M. (2016). Incorporating directivity in the Fourier pseudospectral time-domain method using spherical harmonics, J. Acoust. Soc. Am., 40(2), 855-865.
openPSTD v.1 methodology and validation
Hornikx, M., Krijnen, T., van Harten. L. (2016). openPSTD: the open source pseudospectral time-domain method for acoustic propagation, Comp. Phys. Commun., 203, 298-308.
Curvilinear Fourier PSTD method based on conformal mapping
Hornikx, M., Dragna, D. (2015). Application of the Fourier pseudo spectral time-domain method in orthogonal curvilinear coordinates for near-rigid moderately curved surfaces, J. Acoust. Soc. Am., 138(1), 425-435.
Hybrid PSTD-DG method
Pagan, R., Hornikx, M. (2015). A hybrid PSTD/DG method to solve the linearized Euler equations, Euronoise, May 2015, Maastricht, The Netherlands, Accepted, Invited.
Presentation of the openPSTD software
Krijnen, T., Hornikx, M. (2014). openPSTD: the open source implementation of the Pseudo Spectral Time-Domain method, Forum Acusticum, 7-12 September 2014, Krakow, Poland.
Error analysis of the multi-domain Chebyshev PSTD method and hybrid Chebyshev/Fourier PSTD method
Dragna, D., Bogey, C., Hornikx, M. Blanc-Benon, Ph. (2013). Analysis of the dissipation and dispersion properties of the Chebyshev pseudospectral method for propagation problems. J. Comp. Phys. 255, 31-47
Publications (before 2013)
Multi-domain Fourier PSTD method
Hornikx, M., De Roeck, W., Desmet, W. (2012). A multi-domain Fourier pseudospectral time-domain method for the linearized Euler equations. J. Comp. Phys., 231(14), 4759-4774.
Fourier PSTD method propagation from a circular pipe with a jet flow (M = 0.3)
Hornikx, M., De Roeck, W., Desmet, W., (2010). Simplified exhaust pipe noise radiation modelling using the Fourier PSTD method. ISMA, 20-22 September, Leuven, Belgium.
Fourier PSTD method for boundaries with constant real-valued impedances, as well as for propagation through moving media
Hornikx, M., Waxler, R., Forssén, J., (2010). The extended Fourier pseudospectral time-domain method for atmospheric sound propagation, J. Acoust. Soc. Am., 128(4), 1632-1646.
Fourier PSTD method for two fluid media, as the air-sea interface
Hornikx, M., Waxler, R., (2010). The extended Fourier pseudospectral time-domain (PSTD) method for fluid media with discontinuous properties. J. Comp. Acoust., 18(4), 297-319.
1-dimensional derivation of the Fourier PSTD method for a problem with two fluid media
Hornikx, M., Waxler, R. (2008). An eigenfunction expansion method to efficiently evaluate spatial derivatives for media with discontinuous properties. Acoustics '08 conference, 29 June - 4 July, Paris, France.