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Fast Algorithms For Calculations of Viscous Incompressible Flows Using the Velocity Correction Method

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The velocity correction method is designed to simulate stationary and non-stationary, two- and three-dimensional motions of a viscous incompressible fluid. The basic assumption of this method consists in splitting the velocity and the pressure fields and calculations are performed in two steps. In the first step, a tentative velocity field is determined by simplified equations for momentum conservation. In the second step the Neumann problem for the Poisson equations is solved to obtain the computational pressure, and the velocity components are corrected. A standard method of lines approach and the two grids method are applied in this contribution. Some test calculations for laminar and transitional flows in square and cubic cavities with one moving wall as well as in a backward-facing step are reported.
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289--301
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Bibliogr. 109 poz., rys.
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Bibliografia
  • [1] Chorin A J 1968 Math. Comput. 22 745
  • [2] Temam R 1984 Navier-Stokes Equations, Theory and Numerical Analysis, Elsevier Science Pub. B. V., New York
  • [3] Kim J and Moin P 1985 J. Comput. Phys. 59 308
  • [4] Hirsch Ch 1990 Numerical Computational of Internal and External Flows. Vol 2: Computational Methods for Inviscid and Viscous Flows, John Wiley & Sons, Chichester – New York
  • [5] Tanahashi T and Okanaga H 1990 Int. J. Numer. Meth. Fluids 11 479
  • [6] Gresho P M 1990 Int. J. Numer. Meth. Fluids 11 587
  • [7] Kovacs A and Kawahara M 1991 Int. J. Numer. Meth. Fluids 13 403
  • [8] Karniadakis G M 1991 J. Comput. Phys. 97 414
  • [9] Huser A D and Biringen S 1992 Int. J. Numer. Meth. Fluids 14 1087
  • [10] Ren G and Utnes T 1993 Int. J. Numer. Meth. Fluids 17 349
  • [11] Pinelli A and Vacca A 1994 Int. J. Numer. Meth. Fluids 18 781
  • [12] Kosma Z 1994 ZAMM 74 6
  • [13] Turek S 1996 Int. J. Numer. Meth. Fluids 22 987
  • [14] Ferziger J H and Perić M 1996 Computational Methods for Fluid Dynamics, Springer-Verlag, Berlin – Heidelberg – New York
  • [15] Hugues S and Randriamampianina A 1998 Int. J. Numer. Meth. Fluids 28 501
  • [16] Goldberg D and Ruas V 1999 Int. J. Numer. Meth. Fluids 30 233
  • [17] Kosma Z 1999 Determination of Laminar Incompressible Flows, Monography of Technical University of Radom (in Polish)
  • [18] Guo D X 2000 Appl. Numer. Math. 35 307
  • [19] Boivin S, Cair´e F and H´erard J-M 2000 Int. J. Therm. Sci. 39 806
  • [20] Minev P D 2001 Int. J. Numer. Meth. Fluids 36 441
  • [21] Brown D L, Cortez R and Minion M L 2001 J. Comput. Phys. 168 464
  • [22] Liu C H and Leung D Y C 2001 Comput. Meth. Appl. Mech. Engrg. 190 4301
  • [23] Auteri F, Saleri F and Vigevano L 2001 Comput. Meth. Appl. Mech. Engrg. 190 6927
  • [24] Friedrich R, H¨uttl T J, Manhart M and Wagner C 2001 Comput. Fluids. 30 555
  • [25] Christon M A 2002 Int. J. Numer. Meth. Fluids 38 1177
  • [26] Auteri F and Parolini N 2002 J. Comput. Phys. 175 1
  • [27] Stevens D E, Chan S T and Gresho P 2002 Int. J. Numer. Meth. Fluids 40 1303
  • [28] Botella O 2002 Comput. Fluids. 31 397
  • [29] Dagan A 2003 Comput. Fluids. 32 1213
  • [30] Guermond J L and Shen J 2003 J. Comput. Phys. 192 262
  • [31] Grauer R and Spanier F 2003 J. Comput. Phys. 192 727
  • [32] Kosma Z 2003 Numerical Simulation of Viscous Fluid Motions, Monography of Technical University of Radom (in Polish)
  • [33] Manhart A 2004 Comput. Fluids. 33 435
  • [34] Fernandez-Feria R and Sanmiguel-Rojas E 2004 Comput. Fluids. 33 463
  • [35] L¨ohner R 2004 J. Comput. Phys. 195 143
  • [36] Minion M L 2004 Appl. Numer. Math. 48 369
  • [37] Blasco J and Codina R 2004 Appl. Numer. Math. 51 1
  • [38] Liu M, Ren Y-X and Zhang H 2004 J. Comput. Phys. 200 325
  • [39] Guy R D and Fogelson A L 2005 J. Comput. Phys. 203 517
  • [40] Abide S and Viazzo S 2005 J. Comput. Phys. 206 252
  • [41] Albensoeder S and Kuhlmann H C 2005 J. Comput. Phys. 206 536
  • [42] Li X and Han X 2005 Int. J. Numer. Meth. Fluids 49 395
  • [43] Bejanov B, Guermond J-L and Minev P D 2005 Int. J. Numer. Meth. Fluids 49 549
  • [44] Kosma Z 2005 TASK Quart. 9 (1) 37
  • [45] Wong J C-F and Chan M K-H 2006 Int. J. Numer. Meth. Fluids 51 385
  • [46] Gervasio P, Saleri F and Veneziani A 2006 J. Comput. Phys. 214 347
  • [47] Jobelin M, Lapuerta C, Latch´e J-C, Angot P and Piar B 2006 J. Comput. Phys. 217 502
  • [48] Zheng Z and Petzold L 2006 J. Comput. Phys. 219 976
  • [49] Codina R and Badia S 2006 Comput. Meth. Appl. Mech. Engrg. 195 2900
  • [50] Löhner R, Yang C, Cebral J, Camelli F, Soto O and Waltz J 2006 Comput. Meth. Appl. Mech. Engrg. 195 3087
  • [51] Kress W and L¨otstedt P 2006 Comput. Meth. Appl. Mech. Engrg. 195 4033
  • [52] Guermond J L, Minev P and Shen J 2006 Comput. Meth. Appl. Mech. Engrg. 195 6011
  • [53] Aprivitola A and Denaro F M 2007 Int. J. Numer. Meth. Fluids 53 1127
  • [54] Jan Y-J and Sheu T W-H 2007 Comput. Meth. Appl. Mech. Engrg. 196 4755
  • [55] Pontaza J P 2007 J. Comput. Phys. 225 1590
  • [56] Utnes T 2008 J. Comput. Phys. 227 2198
  • [57] Kosma Z 2008 Numerical Methods for Engineering Applications, 5-th Edition, Technical University of Radom Publishing (in Polish)
  • [58] Ghia U, Ghia K N and Shin C T 1982 J. Comput. Phys. 48 387
  • [59] Kim J and Moin P 1985 J. Comput. Phys. 59 308
  • [60] Tanahashi T and Okanaga H 1990 Int. J. Numer. Meth. Fluids 11 479
  • [61] Kovacs A and Kawahara M 1991 Int. J. Numer. Meth. Fluids 13 403
  • [62] Ren G and Utnes T 1993 Int. J. Numer. Meth. Fluids 17 349
  • [63] Li M, Tang T and Fornberg B 1995 Int. J. Numer. Meth. Fluids 20 1137
  • [64] Barragy E and Carey G F 1997 Comput. Fluids 26 453
  • [65] Botella O and Peyret R 1998 Comput. Fluids 27 421
  • [66] Shankar P N and Deshpande M D 2000 Annu. Rev. Fluid Mech. 32 93
  • [67] Aydin M and Fenner R T 2001 Int. J. Numer. Meth. Fluids 37 45
  • [68] Barton I E, Markham-Smith D and Bressloff N 2002 Int. J. Numer. Meth. Fluids 38 747
  • [69] Peng Y-F, Shiau Y-H and Hwang R R 2003 Comput. Fluids 32 337
  • [70] Mai-Duy N and Tran-Cong T 2003 Int. J. Numer. Meth. Fluids 41 743
  • [71] Sahin M and Owens R G 2003 Int. J. Numer. Meth. Fluids 42 57
  • [72] Sahin M and Owens R G 2003 Int. J. Numer. Meth. Fluids 42 79
  • [73] Piller M and Stalio E 2004 J. Comput. Phys. 197 299
  • [74] Gravemeier V, Wall W A and Ramm E 2004 Comput. Meth. Appl. Mech. Engrg. 193 1323
  • [75] Ramšak M and Škerget L 2004 Int. J. Numer. Meth. Fluids 46 815
  • [76] Wu Y and Liao S 2005 Int. J. Numer. Meth. Fluids 47 185
  • [77] Erturk E, Corke T C and G¨ok¸c¨ol C 2005 Int. J. Numer. Meth. Fluids 48 747
  • [78] Brüger A, Gustafsson B, L¨otstedt P and Nilsson J 2005 J. Comput. Phys. 203 49
  • [79] Abide S and Viazzo S 2005 J. Comput. Phys. 206 252
  • [80] Gelhard T, Lube G, Olshanskii M A and Starcke J-H S 2005 J. Comput. Appl. Math. 177 243
  • [81] Bruneau C-H and Saad M 2006 Comput. Fluids 35 326
  • [82] Masud A and Khurram R A 2006 Comput. Meth. Appl. Mech. Engrg. 195 1750
  • [83] Prabhakar V and Reddy J N 2006 J. Comput. Phys. 215 274
  • [84] Guy G and Stella F 1993 J. Comput. Phys. 106 286
  • [85] Jiang B-N, Lin T L and Povinelli L A 1994 Comput. Meth. Appl. Mech. Engrg. 114 213
  • [86] Tang L Q, Cheng T and Tsang T T H 1995 Int. J. Numer. Meth. Fluids 21 413
  • [87] Dridakis D, Iliev O P and Vassileva D P 1998 J. Comput. Phys. 146 301
  • [88] Paisley M F 1999 Int. J. Numer. Meth. Fluids 30 441
  • [89] Liu C H 2001 Int. J. Numer. Meth. Fluids 35 533
  • [90] Sheu T W H and Tsai S F 2002 Comput. Fluids 31 911
  • [91] Shu C, Wang L and Chew Y T 2003 Int. J. Numer. Meth. Fluids 43 345
  • [92] Nithiarasu P, Mathur J S, Weatherill N P and Morgan K 2004 Int. J. Numer. Meth. Fluids 44 1207
  • [93] Lo D C, Murugesan K and Young D L 2005 Int. J. Numer. Meth. Fluids 47 1469
  • [94] Albensoeder S and Kuhlmann H C 2005 J. Comput. Phys. 206 536
  • [95] Ding H, Shu C, Yeo K S and Xu D 2006 Comput. Meth. Appl. Mech. Engrg. 195 516
  • [96] Armaly B F, Durst F, Pereira J C F and Sch¨onung B 1983 J. Fluid Mech. 127 476
  • [97] Gartling D K 1990 Int. J. Numer. Meth. Fluids 11 953
  • [98] Pentaris A, Nikolados K and Tsangaris S 1994 Int. J. Numer. Meth. Fluids 19 1053
  • [99] Pappou T and Tsangaris S 1997 Int. J. Numer. Meth. Fluids 25 523
  • [100] Barton I E 1997 Int. J. Numer. Meth. Fluids 25 633
  • [101] Barton I E 1998 Int. J. Numer. Meth. Fluids 28 841
  • [102] Keskar J and Lyn D A 1999 Int. J. Numer. Meth. Fluids 29 411
  • [103] Domański J J and Kosma Z 2001 ZAMM 81 (S4) 921
  • [104] Pontaza J P and Reddy J N 2003 J. Comput. Phys. 190 523
  • [105] Fernandez-Feria R and Sanmiguel-Rojas E 2004 Comput. Fluids 33 463
  • [106] Liu M, Ren Y-X and Zhang H 2004 J. Comput. Phys. 200 325
  • [107] Ramšak M, Škerget L, Hriberšek M and Žunič Z 2005 Eng. Anal. Bound. Elem. 29 1
  • [108] Kosma Z 2005 TASK Quart. 9 (1) 17
  • [109] Pontaza J P 2006 J. Comput. Phys. 217 563
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG8-0009-0029
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