Jure Ravnik (Author), Leopold Škerget (Author), Matjaž Hriberšek (Author)

Abstract

A 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.

Keywords

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;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UM FS - Faculty of Mechanical Engineering
UDC: 532.5:519.61/.64
COBISS: 9039126 Link will open in a new window
ISSN: 0955-7997
Views: 1634
Downloads: 79
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Other data

Secondary language: English
Secondary keywords: mehanika fluidov;računalniška dinamika tekočin;metoda robnih elementov;valčna transformacija;sistem linearnih enačb;hitrostno vrtinčni zaapis;kotanja;naravna konvekcija;
URN: URN:SI:UM:
Pages: str. 1303-1314
Volume: ǂVol. ǂ28
Issue: ǂiss. ǂ11
Chronology: Nov. 2004
ID: 8718716