Valčna transformacija v modelu robnih elementov za dinamiko tekočin : magistrsko delo /
V delu obravnavamo uporabo valčne transformacije za reševanje velikih sistemov linearnih enačb predvsem iz vidika prihranka računalniškega spomina in procesorskega časa. Vpeljali smo valčno transformiran sistem linearnih enačb in zapisali algoritem reševanja. Z zanemarjanjem elementov dobimo iz poln...
Shranjeno v:
| Glavni avtor: | |
|---|---|
| Drugi avtorji: | |
| Format: | Thesis Knjiga |
| Jezik: | Slovenian |
| Izdano: |
Maribor :
[J. Ravnik],
2003.
|
| Teme: | |
| Oznake: |
Označite
Brez oznak, prvi označite!
|
| LEADER | 03958nam a2200265 i 4500 | ||
|---|---|---|---|
| 001 | 8251926 | ||
| 003 | SI-MaCOB | ||
| 005 | 20050128000000.0 | ||
| 008 | 031007s2003 xv a ||m |0|| ||slv c | ||
| 040 | |a KTFMB |b slv |c SI-MaIIZ |d KTFMB |e ppiak | ||
| 041 | 0 | |a slv |b slv |b eng | |
| 080 | |a 519.6 | ||
| 100 | 1 | |a Ravnik, Jure. |4 aut | |
| 242 | 1 | 0 | |a Wavelet transform in boundary element model for fluid dynamics. |y eng |
| 245 | 0 | 0 | |a Valčna transformacija v modelu robnih elementov za dinamiko tekočin : |b magistrsko delo / |c Jure Ravnik ; [mentor Leopold Škerget ; komentor Matjaž Hriberšek]. |
| 260 | |a Maribor : |b [J. Ravnik], |c 2003. | ||
| 300 | |a VI, 163 str. : |b ilustr., graf. prikazi ; |c 30 cm. | ||
| 502 | |a Mag. delo, Univ. Maribor, Fakulteta za strojništvo, 2003. | ||
| 504 | |a Povzetek ; Abstract. | ||
| 520 | |a V delu obravnavamo uporabo valčne transformacije za reševanje velikih sistemov linearnih enačb predvsem iz vidika prihranka računalniškega spomina in procesorskega časa. Vpeljali smo valčno transformiran sistem linearnih enačb in zapisali algoritem reševanja. Z zanemarjanjem elementov dobimo iz polne, prazno sistemsko matriko. S posrednim naslavljanjem elementov pridobimo spomin in posredno tudi procesorski čas, saj računskih operacij z ničlami ne izvajamo. Izdelali smo knjižnico podprogramov za uporabo valčne transformacije pri reševanju linearnih sistemov enačb in jo vgradili v numerični model BEMflow [17]. Reševanje smo preverili na sistemih enačb dinamike tekočin; pojava naravne konvekcije v kotanji, toka v gnani kotanji in toka v cestnem kanjonu za enačbe kinematike, prenosa vrtinčnosti in ohranitve notranje energije. Enačbe smo zapisali v hitrostno-vrtinčnem zapisu in uporabili robno-območno integralsko metodo za rešitev. Ugotavljamo, da je z metodo valčne transformacije mogoče za ceno majhne netočnosti rešitve pridobiti veliko časa in spomina pri reševanju sistemov linearnih enačb. Podrobno smo raziskali omejitve uporabe in med drugim ugotovili, da procesorski čas prihranimo le, če sistem linearnih enačb z isto sistemsko matriko rešimo večkrat. | ||
| 520 | |a In this work usage of wavelet transforms for solving linear systems of equations in light of saving computation time and computer storage is examined. A wavelet transformed linear system of equations is introduced and a solving algorithm proposed. When small elements are neglected, the new system matrix becomes empty. It is stored in a compressed row storage, which saves computer storage and computational time, because unnecessary computations with zeros are not performed. A set of subroutines was developed and incorporated into the numerical model BEMflow [17]. Solution of wavelet transformed linear systems of equations was investigated through problems of fluid dynamics: onset of natural convection in a cavity, flow in a driven cavity and flow in a street canyon for equations of kinematics, vorticity transport and energy conservation. The equations are written in the velocity-vorticity formulation and the boundary-domain integral method was used to solve them. We have found out that the usage of wavelet transforms in the process of solving linear systems of equations enables us to save a lot of computational time and computer storage at the expense of small inaccuracy of the result. We investigated the limit s of usage thoroughly and established, amongst other things, that computation time can be saved only, if the system of equations is solved with the same system matrices more than once. | ||
| 653 | 0 | |a valčna transformacija |a metoda robnih elementov |a sistemi linearnih enačb |a hitrostno vrtinčen zapis |a računalniška dinamika tekočin |a cestni kanjon | |
| 653 | 0 | |a wavelet transform |a boundary element method |a linear systems of equations |a velocity vorticity formulation |a computational fluid dynamics |a street canyon | |
| 700 | 1 | |a Škerget, Leopold. |4 ths | |
| 700 | 1 | |a Hriberšek, Matjaž. |4 oth | |