An improved immersed boundary method with direct forcing for the simulation of particle laden flows

Journal of Computational Physics

Volumn 231, Issue 9, 2012, Pages 3663-3684

  Kempe, Tobias ^a   Fröhlich, Jochen ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Collision modeling; Euler Lagrange coupling; Immersed boundary method; Multiphase flow; Particles

Indexed keywords

BUOYANCY; ITERATIVE METHODS; TURBULENT FLOW;

COLLISION MODELING; EULER-LAGRANGE COUPLING; FINITE-SIZE PARTICLES; FORCINGS; IMMERSED BOUNDARY METHODS; LOW-COSTS; PARTICLE; PARTICLE LADEN FLOWS; PARTICULATE FLOWS; SIMPLE++;

LAGRANGE MULTIPLIERS;

EID: 84857794622     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2012.01.021     Document Type: Article

References (49)

1. Apte S.V., Martin M., Patankar N.A. A numerical method for fully resolved simulation (FRS) of rigid particle-flow interactions in complex flows. J. Comput. Phys. 2009, 228:2712-2738.
2. Bagchi P., Balachandar S. Effect of free rotation on the motion of a solid sphere in linear shear flow at moderate Re. Phys. Fluids 2002, 14:2719-2737.
3. W.P. Breugem, M. Poriquie, B.J. Boersma, Some issues related to the stress IB method for flow around obstacles. in: Proceedings of the Academy colloquium: Immersed Bounday Methods: Current status and future research direction, Amsterdam, The Netherlands, 15-17 June 2009.
4. Cheny Y., Botella O. The LS-STAG method: a new immersed boundary/level-set method for the computation of incompressible viscous flows in complex moving geometries with good conservation properties. J. Comput. Phys. 2010, 229:1043-1076.
5. Chow E., Cleary A.J., Falgout R.D. Design of the hypre preconditioner library. SIAM Workshop on Object Oriented Methods for Inter-operable Scientific and Engineering Computing 1998, 106-116. SIAM.
6. R.D. Falgout, U.M. Yang, hypre: a library of high performance preconditioners, in: International Conference on Computational Science, vol. 3, 2002, pp. 632-641.
7. Ferzinger J.H., Peric M. Computational Methods for Fluid Dynamics 2002, Springer-Verlag.
8. Francois M., Uzgoren E., Jackson J., Shyy W. Multigrid computations with the immersed boundary technique for multiphase flows. Int. J. Numer. Methods Heat Fluid Flow 2004, 14:98-115.
9. Gilmanov A., Sotiropoulos F. A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies. J. Comput. Phys. 2005, 207:457-492.
10. Glowinski R., Pan T.W., Hesla T.I., Joseph D.D., Priaux J. A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow. J. Comput. Phys. 2001, 169:363-426.
11. Glowinski R., Pan T.-W., Hesla T.I., Joseph D.D. A distributed Lagrange multiplier/fictitious domain method for particulate flows. Int. J. Multiphase Flow 1999, 25:755-794.
12. Harlow F.H., Welch J.E. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids 1965, 8:2182-2189.
13. Iaccarino G., Verzicco R. Immersed boundary technique for turbulent flow simulations. Appl. Mech. Rev. 2003, 56:331-347.
14. T. Kempe, J. Fröhlich, Collision modeling for the interface-resolved simulation of spherical particles in viscous fluids, submitted for publication.
15. Kim D., Choi H. Immersed boundary method for flow around an arbitrarily moving body. J. Comput. Phys. 2006, 212:662-680.
16. Le D.V., Khoo B.C., Lim K.M. An implicit-forcing immersed boundary method for simulating viscous flows in irregular domains. Comput. Methods Appl. Mech. Eng. 2008, 197(25-28):2119-2130.
17. Leopardi P. A partition of the unit sphere into regions of equal area and small diameter. Electron. Trans. Numer. Anal. 2006, 25:309-327.
18. Li Z., Ito K. The immersed interface method: numerical solutions of PDEs involving interfaces and irregular domains. Soc. Indus. Math. 2006.
19. Mittal R., Dong H., Bozkurttas M., Najjar F.M., Vargas A., von Loebbecke A. A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries. J. Comput. Phys. 2008, 227:4825-4852.
20. Mittal R., Iaccarino G. Immersed boundary methods. Ann. Rev. Fluid Mech. 2005, 37:239-261.
21. J. Mohd-Yusof, Combined immersed boundary/B-Spline method for simulations of flows in complex geometries, Center for Turbulence Research, Annual Research Briefs, NASA Ames/ Stanford University, pp. 317-327, 1997.
22. Mordant N., Pinton J.-F. Velocity measurement of a settling sphere. Eur. Phys. J. B 2000, 18:343-352.
23. Nirschl H., Dwyer H.A., Denk V. Three-dimensional calculations of the simple shear flow around a single particle between two moving walls. J. Fluid Mech. 1995, 283:273-285.
24. Oevermann M., Scharfenberg C., Klein R. A sharp interface finite volume method for elliptic equations on Cartesian grids. J. Comput. Phys. 2009, 228:5184-5206.
25. Pan T.-W., Glowinski R. Direct simulation of the motion of neutrally buoyant circular cylinders in plane Poiseuille flow. J. Comput. Phys. 2002, 181:260-279.
26. Peskin Ch.S. Numerical analysis of blood flow in the heart. J. Comput. Phys. 1977, 25:220-252.
27. Peskin Ch.S. The immersed boundary method. Acta Numer. 2003, 11:479-517.
28. Prosperetti A., Tryggvason G. Computational Methods for Multiphase Flow 2007, Cambridge University Press.
29. Roma A.M., Peskin Ch.S., Berger M.J. An adaptive version of the immersed boundary method. J. Comput. Phys. 1999, 153:509-534.
30. Roman F., Armenio V., Fröhlich J. A simple wall-layer model for large eddy simulation with immersed boundary method. Phys. Fluids 2009, 21:101701.
31. Roman F., Napoli E., Milici B., Armenio V. An improved immersed boundary method for curvilinear grids. Comput. Fluids 2009, 38:1510.
32. Sharma N., Patankar N.A. A fast computation technique for the direct numerical simulation of rigid particulate flows. J. Comput. Phys. 2005, 205:439-457.
33. Spalart P.R., Moser R.D., Rogers M.M. Spectral methods for the Navier-Stokes equations with one infinite and two periodic directions. J. Comput. Phys. 1991, 96:297-324.
34. T. Stoesser, J. Fröhlich, W. Rodi, Turbulent open channel flow over a permeable bed, in: 32th IAHR Congress, Venice, Italy, July 1-6, 2007.
35. ten Cate A., Nieuwstad C.H., Derksen J.J., Van den Akker H.E.A. Particle imaging velocimetry experiments and lattice-Boltzmann simulations on a single sphere settling under gravity. Phys. Fluids 2002, 14:4012-4025.
36. Tryggvason G., Bunner B., Esmaeeli A., Juric D., Al-Rawahi N., Tauber W., Han J., Nas S., Jan Y.-J. A front-tracking method for the computations of multiphase flow. J. Comput. Phys. 2001, 169:708-759.
37. G. Tryggvason, S. Thomas, J. Lu, B. Aboulhasanzadeh, V. Tsengue, Multiscale computation of multiphase flows, in: 7th International Conference on Multiphase Flows, Tampa, Florida, USA, 2010.
38. Udaykumar H.S., Kan H.-C., Shyy W., Tran-Son-Tay R. Multiphase dynamics in arbitrary geometries on fixed Cartesian grids. J. Comput. Phys. 1997, 137:366-405.
39. Udaykumar H.S., Mittal R., Rampunggoon P., Khanna A. A sharp interface Cartesian grid method for simulating flows with complex moving boundaries. J. Comput. Phys. 2001, 174:345-380.
40. M. Uhlmann. First experiments with the simulation of particulate flows, Technical Report No. 1020, CIEMAT, Madrid, Spain, 2003, ISSN pp. 1135-9420.
41. M. Uhlmann. New results on the simulation of particulate flows, Technical Report No. 1038, CIEMAT, Madrid, Spain, 2003, ISSN, pp. 1135-9420.
42. Uhlmann M. An immersed boundary method with direct forcing for the simulation of particulate flows. J. Comput. Phys. 2005, 209:448-476.
43. M. Uhlmann, An improved fluid-solid coupling method for DNS of particulate flow on a fixed mesh, in M. Sommerfeld, (Ed.,) Proc. 11th Workshop Two-Phase Flow Predictions, Merseburg, Germany, 2005, Universität Halle.
44. Uhlmann M. Interface-resolved direct numerical simulation of vertical particulate channel flow in the turbulent regime. Phys. Fluids 2008, 20:053305.
45. M. Uhlmann, Private communication, 2010.
46. Unverdi S.O., Tryggvason G. A front-tracking method for viscous, incompressible, multi-fluid flows. J. Comput. Phys. 1992, 100:25-37.
47. Uzgoren E., Singh R., Sim J., Shyy W. Computational modeling for multiphase flows with spacecraft application. Prog. Aerosp. Sci. 2007, 43:138-192.
48. Sint-Annaland van M., Deen N.G., Kuipers J.A.M. Numerical simulation of gas bubbles behaviour using a three-dimensional volume of fluid method. Chem. Eng. Sci. 2005, 60:2999-3011.
49. Verzicco R., Mohd-Yusof J., Orlandi P., Haworth D. LES in complex geometries using boundary body forces. AIAA J. 2000, 38:427-433.