On the analysis of heterogeneous fluids with jumps in the viscosity using a discontinuous pressure field

Computational Mechanics

Volumn 46, Issue 1, 2010, Pages 115-124

  Idelsohn, Sergio R ^a   Mier Torrecilla, Monica ^a   Nigro, Norberto ^a,b   Oñate, Eugenio ^a,c  

^a INTERNATIONAL CENTER FOR NUMERICAL METHODS IN ENGINEERING CIMNE   (Spain)

^b UNIVERSIDAD NACIONAL DEL LITORAL   (Argentina)

^c UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Free surfaces; Heterogeneous fluids; Incompressible Navier Stokes equations; Interfaces; Multi fluids; Multiphase flows

Indexed keywords

CRYSTALLOGRAPHY; FINITE ELEMENT METHOD; FLOW OF FLUIDS; INTERFACES (MATERIALS); MULTIPHASE FLOW;

DISCONTINUOUS PRESSURES; FREE SURFACES; HETEROGENEOUS FLUIDS; INCOMPRESSIBLE FLUID FLOW; INCOMPRESSIBLE NAVIER STOKES EQUATIONS; MULTI-FLUIDS; PARTICLE-FINITE ELEMENT METHOD; VISCOUS PROPERTIES;

NAVIER STOKES EQUATIONS;

EID: 77951766492     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-009-0448-6     Document Type: Article

References (26)

1. Sommerfeld M, van Wachem B, Oliemans R (eds) (2007) ERCOFTAC Special Interest Group on Dispersed Turbulent Multi-Phase Flow, Best Practice Guidelines
2. TE Tezduyar 1999 CFD methods for three-dimensional computation of complex flow problems J Wind Eng Ind Aerodyn 81 97 116 10.1016/S0167-6105(99)00011-2 (Pubitemid 29421370)
3. TJR Hughes WK Liu TK Zimmermann 1981 Lagrangian- Eulerian finite element formulation for incompressible viscous flows Comput Methods Appl Mech Eng 29 239 349 10.1016/0045-7825(81)90049-9 659925 (Pubitemid 12509257)
4. TE Tezduyar M Behr J Liou 1992 A new strategy for finite element computations involving moving boundaries and interfaces. The deforming-spatial-domain/space-time procedure: I. The concept and preliminary numerical tests Comput Methods Appl Mech Eng 94 339 351 0745.76044 10.1016/0045-7825(92)90059-S 1153059
5. TE Tezduyar M Behr S Mittal J Liou 1992 A new strategy for finite element computations involving moving boundaries and interfaces. The deforming-spatial-domain/space-time procedure: II. Computation of free-surface flows, two-liquid flows and flows with drifting cylinders Comput Methods Appl Mech Eng 94 353 371 0745.76045 10.1016/0045-7825(92)90060-W 1153060
6. JA Sethian 2001 Evolution, implementation, and application of level set and fast marching methods for advancing fronts J Comput Phys 169 503 555 0988.65095 10.1006/jcph.2000.6657 1836524 (Pubitemid 33665458)
7. S Osher RP Fedkiw 2001 Level set methods: an overview and some recent results J Comput Phys 169 463 502 0988.65093 10.1006/jcph.2000.6636 1836523 (Pubitemid 33665457)
8. JL Guermond L Quartapelle 2000 A projection FEM for variable density incompressible flows J Comput Phys 165 167 188 0994.76051 10.1006/jcph.2000.6609 1795396
9. T Tezduyar S Aliabadi M Behr 1998 Enhanced-discretization interface-capturing technique (EDICT) for computation of unsteady flows with interfaces Comput Methods Appl Mech Eng 155 235 248 0961.76046 10.1016/S0045-7825(97)00194-1
10. TE Tezduyar S Aliabadi 2000 EDICT for 3D computation of two-fluid interfaces Comput Methods Appl Mech Eng 190 403 410 0995.76052 10.1016/S0045-7825(00)00210-3
11. SR Idelsohn E Oñate F Del Pin 2004 The particle finite element method: a powerful tool to solve incompressible flows with free-surfaces and breaking waves Int J Numer Methods Eng 61 7 964 989 1075.76576 10.1002/nme.1096 (Pubitemid 39403765)
12. E Oñate SR Idelsohn F del Pin R Aubry 2004 The particle finite element method: an overview Int J Comput Methods 1 2 267 307 1182.76901 10.1142/S0219876204000204
13. SR Idelsohn E Oñate F Del Pin N Calvo 2006 Fluid-structure interaction using the particle finite element method Comput Methods Appl Mech Eng 195 17-18 2100 2123 1178.76230 10.1016/j.cma.2005.02.026 (Pubitemid 43193535)
14. SR Idelsohn M Mier-Torrecilla E Oñate 2009 Multi-fluid flows with the particle finite element method Comput Methods Appl Mech Eng 198 2750 2767 10.1016/j.cma.2009.04.002
15. SO Unverdi G Tryggvason 1992 A front-tracking method for viscous, incompressible, multi-fluid flows J Comput Phys 100 25 37 0758.76047 10.1016/0021-9991(92)90307-K
16. R Scardovelli S Zaleski 1999 Direct numerical simulation of free-surface and interfacial flow Annu Rev Fluid Mech 31 567 603 10.1146/annurev.fluid.31.1. 567 1670950 (Pubitemid 36175101)
17. A Smolianski 2005 Finite-Element/Level-Set/Operator-Splitting (FELSOS) approach for computing two-fluid unsteady flows with free moving interfaces Int J Numer Methods Fluids 48 231 269 1068.76054 10.1002/fld.823 2134660 (Pubitemid 40640414)
18. Z Li S Lubkin 2001 Numerical analysis of interfacial two-dimensional Stokes flow with discontinuous viscosity and variable surface tension Int J Numer Methods Fluids 37 525 540 0996.76068 10.1002/fld.185 1861993 (Pubitemid 33030838)
19. PD Minev T Chen K Nandakumar 2003 A finite element technique for multifluid incompressible flow using Eulerian grids J Comput Phys 187 255 273 1047.76047 10.1016/S0021-9991(03)00098-6 1977786 (Pubitemid 36515580)
20. S Gross A Reusken 2007 An extended pressure finite element space for two-phase incompressible flows with surface tension J Comput Phys 224 40 58 05164911 10.1016/j.jcp.2006.12.021 2322259
21. JM Hyman 1984 Numerical methods for tracking interfaces Phys D Nonlinear Phenom 12 396 407 0604.65092 10.1016/0167-2789(84)90544-X
22. JM Floryan H Rasmussen 1989 Numerical methods for viscous flows with moving boundaries Appl Mech Rev 42 323 337 10.1115/1.3152416 1028357
23. R Codina J Blasco 2000 Stabilized finite element method for the transient Navier-Stokes equations based on a pressure gradient projection Comput Methods Appl Mech Eng 182 277 300 0986.76037 10.1016/S0045-7825(99)00194-2 1744250 (Pubitemid 30172342)
24. E Oñate 2000 A stabilized finite element method for incompressible viscous flows using a finite increment calculus formulation Comput Methods Appl Mech Eng 182 355 370 0977.76050 10.1016/S0045-7825(99)00198-X (Pubitemid 30172345)
25. M Kang RP Fedkiw XD Liu 2000 A boundary condition capturing method for multiphase incompressible flow J Sci Comput 15 323 360 1049.76046 10.1023/A:1011178417620 1828747 (Pubitemid 32508315)
26. S Ganesan G Matthies L Tobiska 2007 On spurious velocities in incompressible flow problem with interfaces Comput Methods Appl Mech Eng 196 1193 1202 1173.76338 10.1016/j.cma.2006.08.018 2281775 (Pubitemid 44734588)