A sharp-interface immersed boundary method with improved mass conservation and reduced spurious pressure oscillations

Journal of Computational Physics

Volumn 230, Issue 19, 2011, Pages 7347-7363

  Seo, Jung Hee ^a   Mittal, Rajat ^a  

^a Johns Hopkins University   (United States)

Author keywords

Cut cell method; Immersed boundary method; Moving boundary

Indexed keywords

CELLS; COMPUTATIONAL FLUID DYNAMICS; CYTOLOGY;

BOUNDARY FLOWS; CUT CELL METHODS; CUT CELLS; FLOW PROBLEMS; GEOMETRIC CONSERVATION LAWS; IMMERSED BOUNDARY METHODS; MASS CONSERVATION; MOVING BOUNDARIES; PRESSURE OSCILLATION; SHARP INTERFACE;

TURBULENT FLOW;

EID: 79960848797     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2011.06.003     Document Type: Article

References (25)

1. Mittal R., Iaccarino G. Immersed boundary methods. Annual Review of Fluid Mechanics 2005, 37:239-261.
2. 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. Journal of Computational Physics 2008, 227:4825-4852.
3. H. Luo, H. Dai, P.F. de Sousa, A hybrid formulation to suppress the numerical oscillation caused by immersed moving boundaries, in: 62nd Annual Meeting of the APS Division of Fluid Dynamics, 2009, Abstract #EL.006.
4. H. Luo, B. Yin, H. Dai, J.F. Doyle, A 3D computational study of the flow-structure interaction in flapping flight, in: 48th AIAA Aerospace Science Meeting and Exposition, Orlando, FL, 4-7 January 2010, AIAA Paper 2010-556.
5. Lee J., Kim J., Choi H., Yang K-S. Source of spurious force oscillations from an immersed boundary method for moving-body problems. Journal of Computational Physics 2011, 230:2677-2695.
6. Liao C-C., Chang Y-W., Lin C-A., McDonough J.M. Simulating flows with moving rigid boundary using immersed-boundary method. Computers and Fluids 2010, 39:152-167.
7. Uhlmann M. An immersed boundary method with direct forcing for the simulation of particulate flows. Journal of Computational Physics 2005, 209:448-476.
8. Yang X., Zhang X., Li Z., He G. A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations. Journal of Computational Physics 2009, 228:7821-7836.
9. Shirgaonkar A.A., Maclver M.A., Patankar N.A. A new mathematical formulation and fast algorithm for fully resolved simulation of self-propulsion. Journal of Computational Physics 2009, 228:2366-2390.
10. Taira K., Colonius T. The immersed boundary method: a projection approach. Journal of Computational Physics 2007, 225:2118-2137.
11. Colonius T., Taira K. A fast immersed boundary method using a nullspace approach and multi-domain far-field boundary conditions. Computer Methods in Applied Mechanics and Engineering 2008, 197:2131-2146.
12. Kamakoti R., Shyy W. Evaluation of geometric conservation law using pressure-based fluid solver and moving grid technique. International Journal of Numerical Methods for Heat and Fluid Flow 2004, 14(7):851-865.
13. Zhang X., Theissen P., Schlter J. A Lagrangian method for the treatment of freshly cleared cells in immersed boundary techniques. International Journal of Computational Fluid Dynamics 2009, 23(9):667-670.
14. Bost C., Cottet G.-H., Maitre E. Convergence analysis of a penalization method for the three-dimensional motion of a rigid body in an incompressible viscous fluid. SIAM Journal on Numerical Analysis 2010, 48(4):1313-1337.
15. Bruneau C.-H., Chantalat F., Galusinski C., Iollo A. Level-set, penalization and Cartesian meshes: a paradigm for inverse problems and optimal design. Journal of Computational Physics 2009, 228:6291-6315.
16. Ye T., Mittal R., Udaykumar H.S., Shyy W. An accurate cartesian grid method for viscous incompressible flows with complex immersed boundaries. Journal of Computational Physics 1999, 156:209-240.
17. Udaykumar H.S., Mittal R., Rampunggoon P., Khanna A. A sharp interface Cartesian grid method for simulating flows with complex moving boundaries. Journal of Computational Physics 2001, 174:345-380.
18. Kirkpatrick M.P., Armfield S.W., Kent J.H. A representation of curved boundaries for the solution of the Navier-Stokes equations on a staggered three-dimensional cartesian grid. Journal of Computational Physics 2003, 184:1-36.
19. Meyer M., Devesa A., Hickel S., Hu X.Y., Adams N.A. A conservative immersed interface method for large-eddy simulation of incompressible flows. Journal of Computational Physics 2010, 229:6300-6317.
20. C. Günter, D. Hartmann, M. Meinke, W. Schröder, A level-set based cut-cell method for flows with complex moving boundaries, in: Proceedings of the European Conference on Fluid Dynamics, ECCOMAS CFD 21010, Lisbon, Portugal, 14-17 June 2010.
21. Yang J., Balaras E. An embedded boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries. Journal of Computational Physics 2006, 215:12-40.
22. Kim D., Choi H. Immersed boundary method for flow around an arbitrarily moving body. Journal of Computational Physics 2006, 212:662-680.
23. Choi J-I., Oberoi R.C., Edwards J.R., Rosati J.A. An immersed boundary method for complex incompressible flows. Journal of Computational Physics 2007, 224:757-784.
24. Dütsch H., Durst F., Becker S., Lienhart H. Low-Reynolds-number flow around an oscillating circular cylinder at low Keulegan-Carpenter numbers. Journal of Fluid Mechanics 1998, 360:249.
25. Zhang Z., Prosperetti A. A second-order method for three-dimensional particle simulation. Journal of Computational Physics 2005, 210:292-324.