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The wavelet transform for BEM computational fluid dynamicsRavnik, Jure ; Škerget, Leopold ; Hriberšek, MatjažA 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.Vir: Engineering analysis with boundary elements. - ISSN 0955-7997 (Vol. 28, iss. 11, Nov. 2004, str. 1303-1314)Vrsta gradiva - članek, sestavni delLeto - 2004Jezik - angleškiCOBISS.SI-ID - 9039126
Avtor
Ravnik, Jure |
Škerget, Leopold |
Hriberšek, Matjaž
Teme
mehanika fluidov |
računska dinamika tekočin |
metoda robnih elementov |
valčna transformacija |
sistem linearnih enačb |
hitrostno vrtinčni zaapis |
kotanja |
naravna konvekcija |
fluid mechanics |
computational fluid dynamics |
boundary element method |
wavelet transform |
linear systems of equations |
velocity vorticity formulation |
driven cavity |
natural convection |
system matrix compression
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JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
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Povezave do osebnih bibliografij avtorjev | Povezave do podatkov o raziskovalcih v sistemu SICRIS |
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Ravnik, Jure | 24331 |
Škerget, Leopold | 06428 |
Hriberšek, Matjaž | 11167 |
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