| Title: | The wavelet transform for BEM computational fluid dynamics |
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| Authors: | ID Ravnik, Jure (Author)
ID Škerget, Leopold (Author)
ID Hriberšek, Matjaž (Author) |
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| Files: |  http://dx.doi.org/10.1016/j.enganabound.2004.05.002
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| Language: | English |
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| Work type: | Unknown |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FS - Faculty of Mechanical Engineering
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| 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. |
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| Keywords: | 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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| Year of publishing: | 2004 |
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| PID: | 20.500.12556/DKUM-27534  |
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| UDC: | 532.5:519.61/.64 |
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| ISSN on article: | 0955-7997 |
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| COBISS.SI-ID: | 9039126 |
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| NUK URN: | URN:SI:UM:DK:ORYNNC5B |
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| Publication date in DKUM: | 01.06.2012 |
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| Views: | 2277 |
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| Downloads: | 100 |
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| Metadata: |    |
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| Categories: | Misc.
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