ǂThe ǂwavelet transform for BEM computational fluid dynamics

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

Povzetek

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.

Ključne besede

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;

Podatki

Jezik:	Angleški jezik
Leto izida:	2004
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UM FS - Fakulteta za strojništvo
UDK:	532.5:519.61/.64
COBISS:	9039126
ISSN:	0955-7997
Št. ogledov:	1634
Št. prenosov:	79
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Angleški jezik
Sekundarne ključne besede:	mehanika fluidov;računalniška dinamika tekočin;metoda robnih elementov;valčna transformacija;sistem linearnih enačb;hitrostno vrtinčni zaapis;kotanja;naravna konvekcija;
URN:	URN:SI:UM:
Strani:	str. 1303-1314
Letnik:	ǂVol. ǂ28
Zvezek:	ǂiss. ǂ11
Čas izdaje:	Nov. 2004
ID:	8718716