A Fourier Pseudospectral Method for Some Computational Aeroacoustics Problems

A fourier pseudospectral method for some computational aeroacoustics problems

A Fourier pseudospectral time-domain method is applied to wave propagation problems pertinent to computational aeroacoustics. The original algorithm of the Fourier pseudospectral timedomain method works for periodical problems without the interaction with physical boundaries. In this paper we develop a slip wall boundary condition, combined with buffer zone technique to solve some non-periodica...

A windowed Fourier pseudospectral method for hyperbolic conservation laws

A class of local spectral wavelet filters, discrete singular convolution (DSC) filters, is utilized to facilitate the Fourier pseudospectral method for the solution of hyperbolic conservation law systems. The DSC lowpass filters are adaptively implemented directly in the Fourier domain (i.e., windowed Fourier pseudospectral method), while a physical domain algorithm is also given to enable the ...

A Fourier Pseudospectral Method for Solving Coupled Viscous Burgers Equations

The Fourier pseudo-spectral method has been studied for a onedimensional coupled system of viscous Burgers equations. Two test problems with known exact solutions have been selected for this study. In this paper, the rate of convergence in time and error analysis of the solution of the first problem has been studied, while the numerical results of the second problem obtained by the present meth...

Development of a Domain Decomposition Method for Computational Aeroacoustics

Evaluation of Optimized CPR Schemes for Computational Aeroacoustics Benchmark Problems

Correction Procedure via Reconstruction (CPR) is a differential discontinuous formulation for conservation laws. In this paper, a recently developed optimized CPR scheme, named frequency optimized CPR (FOCPR), was employed and tested. The idea is to resolve the broadest range of wave frequencies on a given mesh given an acceptable error threshold. In the FOCPR method, both polynomial and Fourie...