A versatile implicit iterative approach for fully resolved simulation of self-propulsion

Computer Methods in Applied Mechanics and Engineering

Volumn 199, Issue 37-40, 2010, Pages 2417-2424

  Curet, Oscar M ^a   AlAli, Ibrahim K ^b   MacIver, Malcolm A ^a   Patankar, Neelesh A ^a  

^a Northwestern University   (United States)

^b Stanford University   (United States)

Author keywords

Biolocomotion; Distributed Lagrange multiplier method; DNS; Fully resolved simulation (FRS); Immersed boundary method; Self propulsion

Indexed keywords

AURELIA; BACTERIAL FLAGELLUM; COMPUTATIONAL APPROACH; COMPUTATIONAL RESULTS; CONSTRAINT-BASED; DANIO RERIO; DISTRIBUTED LAGRANGE MULTIPLIER METHOD; GOVERNING EQUATIONS; HIGH REYNOLDS NUMBER; IMMERSED BOUNDARY METHODS; ITERATIVE ALGORITHM; ITERATIVE APPROACH; LOW REYNOLDS NUMBER; SELF-PROPULSION; SWIMMING VELOCITIES; TEST CASE; TIME-STEPPING SCHEMES; ZEBRAFISH;

ALGORITHMS; COERCIVE FORCE; COMPUTATIONAL FLUID DYNAMICS; FREQUENCY MULTIPLYING CIRCUITS; INTERNET PROTOCOLS; LAGRANGE MULTIPLIERS; PROPULSION; REYNOLDS NUMBER; TURBULENT FLOW;

ITERATIVE METHODS;

EID: 77954760330     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2010.03.026     Document Type: Article

References (30)

1. Shirgaonkar A., MacIver M.A., Patankar N.A. A new mathematical formulation and fast algorithm for fully resolved simulation of self-propulsion. J. Comput. Phys. 2009, 228:2366-2390. 10.1016/j.jcp.2008.12.006.
2. Pearson K., Ekeberg O., Buschges A. Assessing sensory function in locomotor systems using neuro-mechanical simulations. Trends Neurosci. 2006, 29(11):625-631.
3. MacIver M.A., Fontaine E., Burdick J.W. Designing future underwater vehicles: principles and mechanisms of the weakly electric fish, IEEE J. Ocean. Eng. 2004, 29(3):651-659.
4. Webb P.W. Form and function in fish swimming. Scient. Am. 1984, 251:58-68.
5. Fauci L.J., Peskin C.S. A computational model of aquatic animal locomotion. J. Comp. Phys. 1988, 77:85-108.
6. Zhao H., Freund J.B., Moser R.D. A fixed-mesh method for incompressible flow-structure systems with finite solid deformations. J. Comp. Phys. 2008, 227:3114-3140.
7. 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.
8. 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. Comp. Phys. 2008, 227:4825-4852.
9. Carling J., Williams T.L., Bowtell G. Self-propelled anguilliform swimming: simultaneous solution of the two-dimensional Navier-Stokes equations and Newton's laws of motion. J. Exp. Biol. 1998, 201:3143-3166.
10. Jiang H., Meneveau C., Osborn T.R. The flow field around a freely swimming copepod in steady motion. Part II: Numerical simulation. J. Plankton Res. 2002, 24(3):191-213.
11. Farnell D.J.J., David T., Barton D.C. Numerical model of self-propulsion in a fluid. J. R. Soc. Interface 2005, 2:79-88.
12. Kern S., Koumoutsakos P. Simulations of optimized anguilliform swimming. J. Exp. Biol. 2006, 209:4841-4857.
13. Eldredge J.D. Numerical simulations of undulatory swimming at moderate Reynolds number. Bioinsp. Biomim. 2006, 1:S19-S24.
14. Sahin M., Mohseni K. An arbitrary Lagrangian-Eulerian formulation for the numerical simulation of flow patterns generated by the hydromedusa aequorea victoria. J. Comp. Phys. 2009, 228:4588-4605.
15. MacIver M.A., Nelson M.E. Body modeling and model-based tracking for neuroethology. J. Neurosci. Meth. 2000, 95:133-143.
16. 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.
17. Patankar N.A., Singh P., Joseph D., Glowinski R., Pan T. A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate fows. Int. J. Multiphase Flow 2000, 26:1509-1524.
18. Taira K., Colonius T. The immersed boundary method: A projection approach. J. Comp. Phys. 2007, 225:2118-2137.
19. Sharma N., Patankar N.A. A distributed Lagrange multiplier based computational method for the simulation of particulate Stokes flow. Comput. Methods Appl. Mech. Engrg. 2005, 194:4716-4730.
20. A. M. Ardekani, S. Dabiri, R. H. Rangel, Collision of multi-particle and general shape objects in a viscous fluid, J. Comput. Phys.
21. Patankar S.V. Numerical Heat Transfer and Fluid Flow 1980, Taylor and Francis.
22. Chorin A.J. Numerical solution of the navier-stokes equations. Math. Comput. 1968, 22:745-762.
23. Bozkurttas M., Mittal R., Dong H., Lauder G.V., Madden P. Low-dimensional models and performance scaling of a highly deformable fish pectoral fin. J. Fluid Mech. 2009, 631:311-342.
24. Patankar N.A. A formulation for fast computations of rigid particulate flows, in: Annual Research Briefs 2001, Stanford University, Center for Turbulence Research, pp. 185-196.
25. Peskin C.S. The immersed boundary method. Acta Numerica 2002, 1-39.
26. O. M. Curet, An algorithm for fully resolved simulation of self-propulsion through fluid and an analysis of the hydrodynamics of ribbon-fin propulsion, Ph.D. thesis, Northwestern University (2009).
27. Bringley T.T., Peskin C.S. Validation of a simple method for representing spheres and slender bodies in an immersed boundary method for stokes flow on an unbounded domain. J. Comput. Phys. 2008, 227(11):5397-5425.
28. Hancock G.J. The self-propulsion of microscopic organisms through liquids. Proc. Roy. Soc. A 1953, 217:96-121.
29. Dabiri J., Colin S., Costello J., Gharib M. Flow patterns generated by oblate medusan jellyfish: field measurements and laboratory analyses. J. Exp. Biol. 2005, 208(7):1257-1265.
30. Green M.H., Ahn D.-g., Ho R.K., Hale M.E. Assessing the function of larval zebrafish pectoral fins during slow swimming. SICB Annual Meeting 2009, Boston, Massachusetts, USA, Abstract. P2.64 2009.