A novel immersed boundary procedure for flow and heat simulations with moving boundary

Computers and Fluids

Volumn 38, Issue 6, 2009, Pages 1145-1159

  Young, D L ^a   Jan, Y J ^a   Chiu, C L ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; FLUID DYNAMICS; ROTATION;

ARBITRARY LAGRANGIAN-EULERIAN; CIRCULAR CAVITIES; FINITE ELEMENTS; FLOW AND HEAT TRANSFERS; FLOW INDUCED; FORCING FUNCTIONS; FREE STREAMS; HEAT SIMULATIONS; IMMERSED BOUNDARIES; IMMERSED BOUNDARY TECHNIQUES; INCOMPRESSIBLE NAVIER-STOKES EQUATIONS; INTERPOLATION SCHEMES; MOVING BOUNDARIES; NUMERICAL DIFFUSIONS; OPERATOR-SPLITTING; OSCILLATING CYLINDERS;

NAVIER STOKES EQUATIONS;

EID: 62549121154     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2008.11.010     Document Type: Article

References (33)

1. Udaykumar H.S., Mittal R., and Shyy W. Computation of solid-liquid phase fronts in the sharp interface limit on fixed grids. J Comput Phys 153 (1999) 535-574
2. Udaykumar H.S., Mittal R., Rampunggoon P., and Khanna A. A sharp interface Cartesian grid method for simulating flows with complex moving boundaries. J Comput Phys 174 (2001) 345-380
3. Russell D., and Wang Z.J. A Cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow. J Comput Phys 191 (2001) 177-205
4. Zhu L., and Peskin C.S. Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method. J Comput Phys 179 (2002) 452-468
5. Francois M., Uzgoren E., Jackson J., and Shyy W. Multigrid computations with the immersed boundary technique for multiphase flows. Int J Numer Meth Heat Fluid Flow 14 (2003) 98-115
6. Xu S., and Wang Z.J. An immersed interface method for simulating the interaction of a fluid with moving boundaries. J Comput Phys 216 (2006) 454-493
7. Mohd-Yusof J. Combined immersed-boundaries/B-splines methods for simulations of flow in complex geometries. CTR Annual Research Briefs, NASA Ames/Stanford University, 1997.
8. Fadlun E.A., Verzicco R., Orlandi P., and Mohd-Yusof J. Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations. J Comput Phys 161 (2000) 35-60
9. Gilmanov A., and Sotiropoulos F. A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies. J Comput Phys 207 (2005) 457-492
10. Uhlmann M. An immersed boundary method with direct forcing for the simulation of particulate flows. J Comput Phys 209 (2005) 448-476
11. Marella S., Krishnan S., Liu H., and Udaykumar H.S. Sharp interface Cartesian grid method I: an easily implemented technique for 3D moving boundary computations. J Comput Phys 210 (2005) 1-31
12. Kim D., and Choi H. Immersed boundary method for flow around an arbitrarily moving body. J Comput Phys 212 (2006) 662-680
13. Yang J., and Balaras E. An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries. J Comput Phys 215 (2006) 12-40
14. Jan Y.J., and Sheu T.W.H. Finite element analysis of vortex shedding oscillations from cylinder in the straight channel. Comput Mech 33 (2003) 81-94
15. Jan Y.J., and Sheu T.W.H. A numerical confirmation of the dual body vortex flowmeter design. Comput Fluids 33 (2004) 1157-1174
16. Hirt C.W., Amsden A.A., and Cook J.L. An arbitrary Lagrangian-Eulerian computing method for all flow speeds. J Comput Phys 14 (1974) 227-253
17. Hughes T.J.R., Liu W.K., and Zimmermann T.K. Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Comput Methods Appl Mech Eng 29 (1981) 329-349
18. Nomura T. Finite element analysis of vortex-induced vibrations of buff cylinders. J Wind Eng Ind Aerodyn 46-47 (1993) 587-594
19. Young D.L., Chang J.T., and Eldho T.I. A coupled BEM and arbitrary Lagrangian-Eulerian FEM model for the solution of two-dimensional laminar flows in external flow fields. Int J Numer Methods Eng 51 (2001) 1053-1077
20. Ramamurti R., and Sandberg W.C. A three-dimensional computational study of the aerodynamics mechanisms of insect flight. J Exp Biol 205 (2002) 1507-1518
21. Gresho P M., Chan S.T., Lee R.L., and Upson C.D. A modified finite element method for solving the time-dependent incompressible Navier-Stokes equations, Part I: theory. Int J Numer Meth Fluids 4 (1984) 557-598
22. Tanida Y., Okajima A., and Watanabe Y. Stability of a circular cylinder oscillating in uniform flow or in a wake. J Fluid Mech 61 (1973) 769-784
23. Williamson C.H.W. Sinusoidal flow relative to circular cylinder. J Fluid Mech 155 (1985) 141-174
24. Ongoren A., and Rockwell D. Flow structure from an oscillating cylinder, Part 1. Mechanisms of phase shift and recovery in the near wake. J Fluid Mech 191 (1988) 197-223
25. Gu W., Chyu C., and Rockwell D. Timing of vortex formulation from an oscillating cylinder. Phys Fluids 6 (1994) 3677-3682
26. Lecointe Y., and Piquet J. Flow structure in the wake of an oscillating cylinder. ASME J Fluids Eng 111 (1989) 139-147
27. Lu X.Y., and Dalton C. Calculation of the timing of vortex formulation from an oscillating cylinder. J Fluids Struct 10 (1996) 527-541
28. Zhang J., and Dalton C. Interaction of a steady approach flow and a circular cylinder undergoing forced oscillation. ASME J Fluids Eng 119 (1997) 808-813
29. Tutar M., and Holdo A.E. Application of differing forcing function models on simulated flow past an oscillating cylinder in a uniform low Reynolds number flow. Int J Comput Fluid Dyn 11 (1999) 223-235
30. Blackburn H.M., and Henderson R.D. A study of two-dimensional flow past an oscillating cylinder. J Fluid Mech 385 (1999) 255-286
31. Guilmineau E., and Queutey P. A numerical simulation of vortex shedding from an oscillating circular cylinder. J Fluids Struct 16 (2002) 773-794
32. Young D.L., Chiu C.L., and Fan C.M. A hybrid Cartesian/immersed-boundary finite element method for simulating heat and flow patterns in a two-roll mill. Numer Heat Transf B Fundam 51 (2007) 251-274
33. Williamson C.H.W. Defining a universal and continuous Strouhal-Reynolds number relationship for the laminar vortex shedding of a circular cylinder. Phys Fluids 31 (1988) 2742-2744