A direct-forcing embedded-boundary method with adaptive mesh refinement for fluid-structure interaction problems

Journal of Computational Physics

Volumn 229, Issue 18, 2010, Pages 6427-6449

  Vanella, Marcos ^a   Rabenold, Patrick ^b   Balaras, Elias ^a,b  

^a UNIVERSITY OF MARYLAND   (United States)

^b UNIVERSITY OF MARYLAND   (United States)

Author keywords

Adaptive mesh refinement; Cartesian grids; Finite difference method; Fluid structure interaction; Immersed boundary method; Large eddy simulation

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; FINITE DIFFERENCE METHOD; FLUID STRUCTURE INTERACTION; INCOMPRESSIBLE FLOW; MESH GENERATION; NAVIER STOKES EQUATIONS; TURBULENT FLOW;

ADAPTIVE MESH REFINEMENT; CARTESIAN GRID; EMBEDDED BOUNDARY METHODS; FINITE-DIFFERENCE METHODS; FLUID-STRUCTURE INTERACTION; FLUID-STRUCTURE INTERACTION PROBLEM; FORCINGS; IMMERSED BOUNDARY METHODS; LARGE-EDDY SIMULATIONS; LOCAL REFINEMENT;

LARGE EDDY SIMULATION;

EID: 77954143263     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2010.05.003     Document Type: Article

References (45)

1. Anchenbach E. Experiments on flow past spheres at very high Reynolds-numbers. J. Fluid Mech. 1972, 54(565).
2. Almgren A.S., Bell J.B., Colella P., Howell L.H., Welcome M.L. A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations. J. Comput. Phys. 1998, 142(1):1-46.
3. Almgren A.S., Bell J.B., Crutchfield W.Y. Approximate projection methods: part I. Inviscid analysis. SIAM J. Sci. Comput. 2000, 22(4):1139-1159.
4. Andersen A., Pesavento U., Wang Z.J. Unsteady aerodynamics of fluttering and tumbling plates. J. Fluid Mech. 2005, 541:65-90.
5. Balaras E. Modeling complex boundaries using an external force field on fixed cartesian grids in large-eddy simulations. Comput Fluids 2004, 33:375-404.
6. Balaras E., Piomelli U., Wallace J.M. Self-similar states in turbulent mixing layers. J. Fluid Mech. 2001, 446:1-24.
7. Balsara D.S. Divergence free adaptive mesh refinement for MHD. J. Comput. Physics 2001, 174(2):614-648.
8. Baruh Haim Analytical Dynamics 1999, McGraw-Hill Science, p. 718.
9. S. Bayyuk, K. Powellt, B. van Leer, A Simulation Technique for 2-d Unsteady Inviscid Flows Around Arbitrarily Moving and Deforming Bodies of Arbitrary Geometry, AIAA-93-3391-CP, 1993, pp. 1013-1024.
10. Bell J., Berger M., Saltzman J., Welcome M. Three-dimensional adaptive mesh refinement for hyperbolic conservation laws. SIAM J. Sci. Comput. 1994, 15(1):127-138.
11. Bell J., Colella P., Glaz H. A second-order projection method for the incompressible Navier-Stokes equations. J. Comput. Phys. 1989, 85:257-283.
12. Belmonte A., Eisenberg H., Moses E. From flutter to tumble: inertial drag and froude similarity in falling paper. Phys. Rev. Lett. 1998, 81(2):345-348.
13. Berger M., Colella P. Local adaptive mesh refinement for shock hydrodynamics. J. Comput. Phys. 1989, 82:64-84.
14. Berger M., Oliger J. Adaptive mesh refinement for hyperbolic partial differential equations. J. Comput. Phys. 1984, 53:484-512.
15. Choi Jung-Il., Oberoi Roshan C., Edwards Jack R., Rosati Jacky A. An immersed boundary method for complex incompressible flows. J. Comput. Phys. 2007, 224:757-784.
16. Constantinescu G., Chapelet M., Squires K. Turbulence modeling applied to flow over a sphere. AIAA J. 2003, 41(9):1733-1742.
17. Doligalski T.L., Smith C.R., Walker J.D.A. Vortex interactions with walls. Annu. Rev. Fluid Mech. 1994, 26:573-616.
18. Fadlun E.A., Verzicco R., Orlandi P., Mohd-Yusof J. Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations. J. Comput. Phys. 2000, 161(1):35-60.
19. Fryxell B., Olson K., Ricker P., Timmes F.X., Zingale M., Lamb D.Q., MacNeice P., Rosner R., Truran J.W., Tufo H. Flash: an adaptive mesh hydrodynamics code for modeling astrophysical thermonuclear flashes. Astrophys. J. Suppl. 2000, 131:273-334.
20. Griffith Boyce E., Hornung Richard D., McQueen David M., Peskin Charles S. An adaptive, formally second order accurate version of the immersed boundary method. J. Comput. Phys. 2007, 223(1):10-49.
21. Ham F., Lien F., Strong A. A cartesian grid method with transient anisotropic adaptation. J. Comput. Phys. 2002, 179:469-494.
22. Johnson T.A., Patel V.C. Flow past a sphere up to a Reynolds number of 300. J. Fluid Mech. 1999, 378:19-70.
23. Van Kan J. A second-order accurate pressure-correction scheme for viscous incompressible flow. SIAM J. Sci. Stat. Comput. 1986, 7(3):870-891.
24. Lee Dongwook, Deane Anil E An unsplit staggered mesh scheme for multidimensional magnetohydrodynamics. J. Comput. Phys. 2009, 228(4):952-975.
25. MacNeice P., Olson K.M., Mobarry C., deFainchtein R., Packer C. Paramesh: a parallel adaptive mesh refinement community toolkit. Comput. Phys. Commun. 2000, 126:330-354.
26. D. Martin, K. Cartwright, Solving Poisson's Equation Using Adaptive Mesh Refinement, LBL Research Report, 1996.
27. Martin Daniel F., Colella Phillip, Graves Daniel A cell-centered adaptive projection method for the incompressible Navier-Stokes equations in three dimensions. J. Comput. Phys. 2008, 227(3):1863-1886.
28. D. Mavriplis, Unstructured Mesh Generation and Adaptivity, ICASE Report No. 95-26, 1995.
29. Meneveau C., Lund T.S., Cabot W.H. A lagrangian dynamic subgrid-scale model of turbulence. J. Fluid Mech. 1996, 319:353-385.
30. Mittal R., Iaccarino G. Immersed boundary methods. Annu. Rev. Fluid Mech. 2005, 37:239-261.
31. Orlandi P., Verzicco R. Vortex rings impinging on walls - axisymmetrical and 3-dimensional simulations. J. Fluid Mech. 1993, 256:615-646.
32. Orlanski I. A simple boundary condition for unbounded hyperbolic flows. J. Comput. Phys. 1976, 21(3):251-269.
33. Peskin C.S. Flow patterns around heart valves - numerical method. J. Comput. Phys. 1972, 10(2):252.
34. Roma A.M., Peskin C.S., Berger M.J. An adaptive version of the immersed boundary method. J. Comput. Phys. 1999, 153(2):509-534.
35. Sarghini F., Piomelli U., Balaras E. Scale-similar models for large-eddy simulations. Phys. Fluids 1999, 11:1596-1607.
36. Swearingen J.D., Crouch J.D., Handler R.A. Dynamics and stability of a vortex ring impacting a solid boundary. J. Fluid Mech. 1995, 297:1-28.
37. Tezduyar T. Finite element methods for flow problems with moving boundaries and interfaces. Arch. Comput. Meth. Eng. 2001, 8(2):83-130.
38. Udaykumar H.S., Shyy W., Rao M.M. Elafint: a mixed eulerian-lagrangian method for fluid flows with complex and moving boundaries. Int. J. Numer. Meth. Fluids 1996, 22(8):691-712.
39. Uhlmann M. An immersed boundary method with direct forcing for the simulation of particulate flows. J. Comput. Phys. 2005, 209(2):448-476.
40. Vanella M., Piomelli U., Balaras E. Effect of grid discontinuities on large-eddy simulation statistics and flow fields. J. Turbul. 2008, 9(32):1-23.
41. Vanella M., Balaras E. A moving-least-squares reconstruction for embedded-boundary formulations. J. Comput. Phys. 2009, 228(18):6617-6628.
42. Walker J.D.A., Smith C.R., Cerra A.W., Doligalski T.L. The impact of a vortex ring on a wall. J. Fluid Mech. 1987, 181:99-140.
43. Yang J., Preidikman S., Balaras E. A strongly coupled, embedded-boundary method for fluid-structure interactions of elastically mounted rigid bodies. J. Fluid Struct. 2008, 24(2):167-182.
44. Yang J.M., Balaras E. An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries. J. Comput. Phys. 2006, 215:12-40.
45. Yun G., Kim D., Choi H. Vortical structures behind a sphere at subcritical Reynolds numbers. Phys. Fluids 2006, 18(1):015102.