Supercompact multiwavelets for flow field simulation

A supercompact multiwavelet scheme for computational fluid dynamics is pres ented. Beam and Warming's supercompact wavelet method is an appropriate wav elet for fluid simulation data in the sense that it can provide compact sup port. The compactness of the wavelets avoids unnecessary interaction with r emotely located data (e.g. across a shock discontinuity or vortex) and sign ificantly reduces computational data processing time. Thresholding for data compression with the supercompact wavelets is applied based on a covarianc e vector structure of multiwavelets. The extension of this scheme to three dimensions is analyzed. Numerical tests demonstrate that the analytic advan tages actually result in large data compression ratios. (C) 2001 Elsevier S cience Ltd. All rights reserved.