Computational and Applied Math Proseminar

Department of Mathematics, Arizona State University

Tuesday, April 29, 1997, 3:05 p.m. in PSA Room 111

Jodi Mead

Department of Mathematics

Pseudospectral Methods for Computational Aeroacoustics

Abstract Community noise prediction and aircraft certification are a couple of reasons why there is a need to predict noise level in the acoustic field. Recent work in Computational Aeroacoustics has involved direct solution of the wave equation and Euler's equations in the far field. There are unique computational issues such as modeling quantities which may become smaller than the computational error over large temporal and spatial scales. Numerical methods need to be highly accurate and virtually free of dispersion and dissipation errors in order to address these issues. This has led to the development of a method which approximates solutions using Chebyshev psuedospectral methods with grid transformations in the radial direction and and Fourier pseudospectral methods in the angular directions. Results from the effect of grid transformations on phase and amplitude errors will be shown. In addition, solutions of the spherical wave problem using this method have smaller errors than those previously found with a multidomain Chebyshev psuedospectral method. Future work will also be discussed. For further information please contact: mittelmann@asu.edu