A three-dimensional hybrid meshfree-Cartesian scheme for fluid-body interaction

International Journal for Numerical Methods in Engineering

Volumn 88, Issue 4, 2011, Pages 385-408

  Yu, P ^a   Yeo, K S ^a   Shyam Sundar, D ^a   Ang, S J ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Arbitrary Lagrangian Eulerian formulation; Fluid structure interaction; Generalized finite difference method; Meshfree method; Self propulsion; Swimming

Indexed keywords

ARBITRARY LAGRANGIAN-EULERIAN FORMULATIONS; GENERALIZED FINITE-DIFFERENCE METHOD; MESH-FREE METHOD; SELF-PROPULSION; SWIMMING;

FINITE DIFFERENCE METHOD; FLUIDS; PROPULSION; SHEAR FLOW; SINGULAR VALUE DECOMPOSITION; SPHERES; THREE DIMENSIONAL;

NUMERICAL METHODS;

EID: 80052967733     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.3182     Document Type: Article

References (55)

1. Borazjani I, Ge L, Sotiropoulos F. Curvilinear immersed boundary method for simulating fluid-structure interaction with complex 3D rigid bodies. Journal of Computational Physics 2008; 227:7587-7620.
2. Hirt CW, Amsden AA, Cook JL. An arbitrary Lagrangian-Eulerian computing method for all flow speeds. Journal of Computational Physics 1974; 14:227-253.
3. Peskin CS. Flow patterns around heart valves: a numerical method. Journal of Computational Physics 1972; 10:252-271.
4. Guillard H, Farhat C. On the significance of the geometric conservation law for flow computations on moving meshes. Computer Methods in Applied Mechanics and Engineering 2000; 190:1467-1482.
5. Hughes TJR, Liu WK, Zimmermann TK. Lagrangian-Eulerian finite element formulation for incompressible viscous flow. Computer Methods in Applied Mechanics and Engineering 1981; 29:329-349.
6. Hu HH, Joseph DD, Crochet MJ. Direct simulation of fluid particle motion. Theoretical and Computational Fluid Dynamics 1992; 3:285-306.
7. Hu HH. Direct simulation of flows of solid-liquid mixtures. International Journal of Multiphase Flow 1996; 22:335-352.
8. Hu HH, Patankar NA, Zhu MY. Direct numerical simulations of fluid-solid systems using the arbitrary Lagrangian-Eulerian technique. Journal of Computational Physics 2001; 169:427-462.
9. Choi HG. Splitting method for the combined formulation of the fluid-particle problem. Computer Methods in Applied Mechanics and Engineering 2000; 190:1367-1378.
10. Farhat C, Lesoinne M, Maman N. Mixed explicit/implicit time integration of coupled aeroelastic problems: three-field formulation, geometric conservation and distributed solution. International Journal for Numerical Method in Fluids 1995; 21:807-835.
11. Ferziger JH, Perić M. Computational Methods for Fluid Dynamics (2nd edn). Springer: Berlin, 1999.
12. Tezduyar TE, Sathe S, Keedy R, Stein K. Space-time finite element techniques for computation of fluid-structure interactions. Computer Methods in Applied Mechanics and Engineering 2006; 195:1027-2002.
13. Patankar NA, Singh P, Joseph DD, Glowinski R, Pan TW. A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows. International Journal of Multiphase Flow 2000; 26:1509-1524.
14. Wang XS, Zhang LT, Liu WK. On computational issues of immersed finite element methods. Journal of Computational Physics 2009; 228:2535-2551.
15. Wang ZJ, Kannan R. An overset adaptive Cartesian/prism grid method for moving boundary flow problems. 43rd AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, U.S.A., 2005; 2005-0322.
16. Mittal R, Iaccarino G. Immersed boundary methods. Annual Review of Fluid Mechanics 2005; 37:239-261.
17. Tryggvason G, Bunner B, Esmaeeli A, Juric D, Al-Rawahi N, Tauber W, Han J, Nas S, Jan YJ. A front-tracking method for the computations of multiphase flows. Journal of Computational Physics 2001; 169:708-759.
18. Peskin CS. Numerical analysis of blood flow in the heart. Journal of Computational Physics 1977; 25:220-252.
19. Fauci LJ, Peskin CS. A computational model of aquatic animal locomotion. Journal of Computational Physics 1988; 77:85-108.
20. Eggleton CD, Popel AS. Large deformation of red blood cell ghosts in a simple shear flow. Physics of Fluids 1998; 10:1834-1845.
21. Zhu L, Peskin CS. Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method. Journal of Computational Physics 2002; 179:452-468.
22. Taira K, Colonius T. The immersed boundary method: a projection approach. Journal of Computational Physics 2007; 225:2118-2137.
23. 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.
24. Zhao H, Freund JB, Moser RD. A fixed-mesh method for incompressible flow-structure systems with finite solid deformations. Journal of Computational Physics 2008; 227:3114-3140.
25. Yang T, Wei M, Zhao H. Numerical study of flexible flapping wing propulsion. 48th AIAA Aerospace Sciences Meeting and Exhibit, Orlando, FL, U.S.A., 2010; 2010-553.
26. Leveque RJ, Li Z. The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM Journal on Numerical Analysis 1994; 31:1019-1044.
27. Xu S, Wang ZJ. An immersed interface method for simulating the interaction of a fluid with moving boundaries. Journal of Computational Physics 2006; 201:454-493.
28. Xu S, Wang ZJ. A 3D immersed interface method for fluid-solid interaction. Computer Methods in Applied Mechanics and Engineering 2008; 197:2068-2086.
29. Tai CH, Liew KM, Zhao Y. Numerical simulation of 3D fluid-structure interaction flow using an immersed object method with overlapping grids. Computers and Structures 2007; 85:749-762.
30. Gilmanov A, Sotiropoulos F. A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies. Journal of Computational Physics 2005; 207:457-492.
31. Gilmanov A, Acharya S. A hybrid immersed boundary and material point method for simulating 3D FSI problems. International Journal for Numerical Methods in Fluids 2008; 56:2151-2177.
32. Chew CS, Yeo KS, Shu C. A generalized finite-difference (GFD) ALE scheme for incompressible flows around moving solid bodies on hybrid meshfree-Cartesian grids. Journal of Computational Physics 2006; 218:510-548.
33. Ang SJ, Yeo KS, Chew CS, Shu C. A singular-value decomposition (SVD)-based generalized finite difference (GFD) for close-interaction moving boundary flow problems. International Journal for Numerical Methods in Engineering 2008; 76:1892-1929.
34. Wang XY, Yeo KS, Chew CS, Khoo BC. A SVD-GFD scheme for computing 3D incompressible viscous fluid flows. Computers and Fluids 2008; 37:733-746.
35. Patel VA. Numerical Analysis. Saunders College Publishing: Fort Worth, 1994.
36. Kim J, Moin P. Application of a fractional step method to incompressible Navier-Stokes equations. Journal of Computational Physics 1985; 59:308-323.
37. Brown DL, Cortez R, Minion ML. Accurate projection methods for the incompressible Navier-Stokes equations. Journal of Computational Physics 2001; 168:464-499.
38. Armfield S, Street R. The fractional-step method for the Navier-Stokes equations on staggered grids: the accuracy of three variations. Journal of Computational Physics 1999; 153:660-665.
39. Chandra R, Menon R, Dagum L, Kohr D, Maydan D, McDonald J. Parallel Programming in OpenMP. Morgan Kaufmann Publishers: San Francisco, 2001.
40. Abraham F. Functional dependence of drag coefficient of a sphere on Reynolds number. Physics of Fluids 1970; 13:2194-2195.
41. Taneda S. Experimental investigation of the wake behind a sphere at low Reynolds numbers. Journal of the Physical Society of Japan 1956; 11:1104-1108.
42. Johnson TA, Patel VC. Flow past a sphere up a Reynolds number of 300. Journal of Fluid Mechanics 1999; 378:19-70.
43. Tomboulides AG, Orszag SA. Numerical investigation of transitional and weak turbulent flow past a sphere. Journal of Fluid Mechanics 2000; 416:45-73.
44. ten Cate A, Nieuwstad CH, Derksen JJ, Van den Akker HEA. Particle imaging velocity experiments and lattice-Boltzmann simulations on a single sphere settling under gravity. Physics of Fluids 2002; 14:4012-4025.
45. Sheard GJ, Thompson MC, Hourigan K. From spheres to circular cylinders: the stability and flow structures of bluff ring wakes. Journal of Fluid Mechanics 2003; 492:147-180.
46. Sheard GJ, Thompson MC, Hourigan K. From spheres to circular cylinders: non-axisymmetric transitions in flow past rings. Journal of Fluid Mechanics 2004; 506:45-78.
47. Sheard GJ, Hourigan K, Thompson MC. Computations of the drag coefficients for low-Reynolds number flow past rings. Journal of Fluid Mechanics 2005; 526:257-275.
48. Yu P, Lee TS, Zeng Y, Low HT. A numerical method for flows in porous and open domains coupled at the interface by stress jump. International Journal for Numerical Methods in Fluids 2007; 53:1755-1775.
49. Yu P, Lee TS, Zeng Y, Meguid SA, Low HT. A numerical technique for laminar swirling flow at the interface between porous and homogenous fluid domains. International Journal for Numerical Methods in Fluids 2009; 60:337-353.
50. Poe GG, Acrivos A. Closed-streamline flows past rotating single cylinders and spheres: inertia effects. Journal of Fluid Mechanics 1975; 72:605-623.
51. Nirschl H, Dwyer HA, Denk V. Three-dimensional calculations of the simple shear flow around a single particle between two moving walls. Journal of Fluid Mechanics 1995; 283:273-285.
52. Mikulencak DR, Morris JF. Stationary shear flow around fixed and free bodies at finite Reynolds number. Journal of Fluid Mechanics 2004; 520:215-242.
53. Yeo KS, Ang SJ, Shu C. Simulation of fish swimming and manoeuvring by an SVD-GFD method on a hybrid meshfree-Cartesian grid. Computers and Fluids 2010; 39:403-430.
54. Lauder GV, Tytell ED. Hydrodynamics of undulatory propulsion. In Fish Biomechanics, Shadwick RE, Lauder GV (eds). Academic Press: New York, 2006; 433-468.
55. Borazjani I, Sotiropoulos F. Numerical investigation of the hydrodynamics of carangiform swimming in the transitional and inertial flow regimes. Journal of Experimental Biology 2008; 211:1541-1558.