The wavelet transform for BEM computational fluid dynamicsRavnik, Jure (Avtor) Škerget, Leopold (Avtor) Hriberšek, Matjaž (Avtor) fluid mechanicscomputational fluid dynamicsboundary element methodwavelet transformlinear systems of equationsvelocity vorticity formulationdriven cavitynatural convectionsystem matrix compressionA wavelet matrix compression technique was used to solve systems of linear equations resulting from BEM applied to fluid dynamics. The governing equations were written in velocity-vorticity formulation and solutions of the resulting systems of equations were obtained with and without wavelet matrix compression. A modification of the Haar wavelet transform, which can transformvectors of any size, is proposed. The threshold, used for making fully populated matrices sparse, was written as a product of a user defined factor and the average value of absolute matrix elements values. Numerical tests were performed to assert, that the error caused by wavelet compression depends linearly on the factor , while the dependence of the error on the share of thresholded elements in the system matrix is highly non-linear. The results also showed that the increasing non-linearity (higher Ra and Re numbervalues) limits the extent of compression. On the other hand, higher meshdensity enables higher compression ratios.20042012-06-01 11:36:32Neznano27534sl