Space-time computational techniques for the aerodynamics of flapping wings

Journal of Applied Mechanics, Transactions ASME

Volumn 79, Issue 1, 2012, Pages

  Takizawa, Kenji ^a   Henicke, Bradley ^b   Puntel, Anthony ^b   Spielman, Timothy ^b   Tezduyar, Tayfun E ^b  

^a WASEDA UNIVERSITY   (Japan)

^b Rice University   (United States)

Author keywords

flapping wings; locust; mesh moving techniques; NURBS; remeshing; space time techniques

Indexed keywords

FLAPPING WING; LOCUST; MESH MOVING TECHNIQUES; NURBS; REMESHING; SPACE-TIME TECHNIQUES;

COMPUTER GRAPHICS; DEFORMATION; DESIGN; INTERPOLATION; RATIONAL FUNCTIONS; SPACE TIME ADAPTIVE PROCESSING;

AERODYNAMICS;

EID: 83655191347     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.4005073     Document Type: Article

References (65)

1. Hughes, T. J. R., Liu, W. K., and Zimmermann, T. K., 1981, "Lagrangian-Eulerian Finite Element Formulation for Incompressible Viscous Flows," Comput. Methods Appl. Mech. Eng. 29, pp. 329-349.
2. Tezduyar, T. E., 1992, "Stabilized Finite Element Formulations for Incompressible Flow Computations," Adv. Appl. Mech., 28 pp. 1-44.
3. Tezduyar, T. E., Behr, M., and Liou, J., 1992, "A New Strategy for Finite Element Computations Involving Moving Boundaries and Interfaces - The Deforming-Spatial-Domain/Space-Time Procedure: I. The Concept and the Preliminary Numerical Tests," Comput. Methods Appl. Mech. Eng. 94, pp. 339-351.
4. Tezduyar, T. E., Behr, M., Mittal, S., and Liou, J., 1992, "A New Strategy for Finite Element Computations Involving Moving Boundaries and Interfaces - The Deforming-Spatial-Domain/Space-Time Procedure: II. Computation of Free-Surface Flows, Two-Liquid Flows, and Flows with Drifting Cylinders," Comput. Methods Appl. Mech. Eng. 94, pp. 353-371.
5. Tezduyar, T., Aliabadi, S., Behr, M., Johnson, A., and Mittal, S., 1993, "Parallel Finite-Element Computation of 3D Flows," Computer, 26, pp. 27-36.
6. Behr, M., Johnson, A., Kennedy, J., Mittal, S., and Tezduyar, T., 1993, "Computation of Incompressible Flows with Implicit Finite Element Implementations on the Connection Machine," Comput. Methods Appl. Mech. Eng. 108, pp. 99-118.
7. Mittal, S., and Tezduyar, T. E, 1995, "Parallel Finite Element Simulation of 3D Incompressible Flows - Fluid-Structure Interactions" Int. J. Numer. Methods Fluids 21, pp. 933-953.
8. Aliabadi, S. K., and Tezduyar, T. E., 1995,"Parallel Fluid Dynamics Computations in Aerospace Applications," Int. J. Numer. Methods Fluids, 21, pp. 783-805.
9. Johnson, A. A., and Tezduyar, T. E., 1999, "Advanced Mesh Generation and Update Methods for 3D Flow Simulations," Comput. Mech., 23 pp. 130-143.
10. Behr, M., and Tezduyar, T., 1999, "The Shear-Slip Mesh Update Method," Comput. Methods Appl. Mech. Eng., 174, pp. 261-274. (Pubitemid 29421320)
11. Kalro, V., and Tezduyar, T. E., 2000, "A Parallel 3D Computational Method for Fluid-Structure Interactions in Parachute Systems," Comput. Methods Appl. Mech. Eng. 190, pp. 321-332.
12. Tezduyar, T., and Osawa, Y., 2001, "Fluid-Structure Interactions of a Parachute Crossing the Far Wake of an Aircraft," Comput. Methods Appl. Mech. Eng., 191, pp. 717-726. (Pubitemid 34004498)
13. Stein, K., Benney, R., Tezduyar, T., and Potvin, J., 2001, "Fluid-Structure Interactions of a Cross Parachute: Numerical Simulation," Comput. Methods Appl. Mech. Eng. 191. pp. 673-687. (Pubitemid 34004496)
14. Ohayon, R., 2001, "Reduced Symmetric Models for Modal Analysis of Internal Structural-Acoustic and Hydroelastic-Sloshing Systems," Comput. Methods Appl. Mech. Eng., 190, pp. 3009-3019. (Pubitemid 32386244)
15. Tezduyar, T. E., 2003, "Computation of Moving Boundaries and Interfaces and Stabilization Parameters" Int. J. Numer. Methods Fluids 43, pp. 555-575. (Pubitemid 37343253)
16. van Brummelen, E. H., and de Borst, R., 2005,"On the Nonnormality of Subiteration for a Fluid-Structure Interaction Problem," SIAM J. Sci. Comput. (USA) 27, pp. 599-621.
17. Tezduyar, T. E., Sathe, S., and Stein, K., 2006, "Solution Techniques for the Fully-Discretized Equations in Computation of Fluid-Structure Interactions with the Space-Time Formulations," Comput. Methods Appl. Mech. Eng. 195, pp. 5743-5753. (Pubitemid 43942199)
18. Torri, R., Oshima, M., Kobayashi, T., Takagi, K., and Tezduyar, T. E., 2006, "Computer Modeling of Cardiovascular Fluid-Structure Interactions with the Deforming-Spatial-Domain/Stabilized Space-Time Formulation," Comput. Methods Appl. Mech. Eng. 195, pp. 1885-1895. (Pubitemid 43116279)
19. Torii, R., Oshima, M., Kobayashi, T., Takagi, K., and Tezduyar, T. E., 2006, "Fluid-Structure Interaction Modeling of Aneurysmal Conditions with High and Normal Blood Pressures," Comput. Mech. 38, pp. 482-490. (Pubitemid 43967455)
20. Bazilevs, Y., Calo, V. M., Zhang, Y., and Hughes, T. J. R., 2006,"Isogeometric Fluid-Structure Interaction Analysis with Applications to Arterial Blood Flow," Comput. Mech., 38, pp. 310-322. (Pubitemid 43970670)
21. Khurram, R. A., and Masud, A., 2006, "A Multiscale/Stabilized Formulation of the Incompressible Navier-Stokes Equations for Moving Boundary Flows and Fluid-Structure Interaction," Comput. Mech. 38, pp. 403-416. (Pubitemid 43967449)
22. Tezduyar, T. E., 2007, "Finite Elements in Fluids: Stabilized Formulations and Moving Boundaries and Interfaces," Comput. Fluids, 36, pp. 191-206. (Pubitemid 44689193)
23. Tezduyar, T. E., Sathe, S., Cragin, T., Nanna, B., Conklin, B. S., Pausewang, J., and Schwaab, M., 2007, "Modeling of Fluid-Structure Interactions with the Space-Time Finite Elements: Arterial Fluid Mechanics," Int. J. Numer. Methods Fluids, 54, pp. 901-922. (Pubitemid 47009684)
24. Sawada, T., and Hisada, T., 2007, "Fluid-Structure Interaction Analysis of the Two Dimensional Flag-in-Wind Problem by an Interface Tracking ALE Finite Element Method," Comput. Fluids, 36, pp. 136-146. (Pubitemid 44615424)
25. Tezduyar, T. E., and Sathe, S., 2007, "Modeling of Fluid-Structure Interactions with the Space-Time Finite Elements: Solution Techniques," Int. J. Numer. Methods Fluids, 54, pp. 855-900. (Pubitemid 47009683)
26. Takizawa, K., Yabe, T., Tsugawa, Y., Tezduyar, T. E., and Mizoe, H., 2007, "Computation of Free-Surface Flows and Fluid-Object Interactions with the CIP Method Based on Adaptive Meshless Soroban Grids," Comput. Mech., 40, pp. 167-183. (Pubitemid 46723553)
27. Takizawa, K., Tanizawa, K., Yabe, T., and Tezduyar, T. E., 2007, "Ship Hydrodynamics Computations with the CIP Method Based on Adaptive Soroban Grids," Int. J. Numer. Methods Fluids, 54, pp. 1011-1019. (Pubitemid 47009689)
28. Yabe, T., Takizawa, K., Tezduyar, T. E., and Im, H.-N., 2007, "Computation of Fluid-Solid and Fluid-Fluid Interfaces with the CIP Method Based on Adaptive Soroban Grids - An Overview," Int. J. Numer. Methods Fluids, 54, pp. 841-853. (Pubitemid 47009682)
29. Torii, R., Oshima, M., Kobayashi, T., Takagi, K., and Tezduyar, T. E., 2007, "Numerical Investigation of the Effect of Hypertensive Blood Pressure on Cerebral Aneurysm - Dependence of the Effect on the Aneurysm Shape," Int. J. Numer. Methods Fluids, 54, pp. 995-1009. (Pubitemid 47009688)
30. Manguoglu, M., Sameh, A. H., Tezduyar, T. E., and Sathe, S., 2008, "A Nested Iterative Scheme for Computation of Incompressible Flows in Long Domains," Comput. Mech., 43, pp. 73-80.
31. Tezduyar, T. E., Sathe, S., Pausewang, J., Schwaab, M., Christopher, J., and Crabtree, J., 2008, "Interface Projection Techniques for Fluid-Structure Interaction Modeling with Moving-Mesh Methods," Comput. Mech., 43, pp. 39-49.
32. Tezduyar, T. E., Sathe, S., Pausewang, J., Schwaab, M., Christopher, J., and Crabtree, J., 2008, "Fluid-Structure Interaction Modeling of Ringsail Parachutes," Comput. Mech., 43, pp. 133-142.
33. Tezduyar, T. E., Sathe, S., Schwaab, M., and Conklin, B. S., 2008, "Arterial Fluid Mechanics Modeling with the Stabilized Space-Time Fluid-Structure Interaction Technique," Int. J. Numer. Methods Fluids, 57, pp. 601-629.
34. Sathe, S. and Tezduyar, T. E., 2008, "Modeling of Fluid-Structure Interactions with the Space-Time Finite Elements: Contact Problems," Comput. Mech., 43, pp. 51-60.
35. Torii, R., Oshima, M., Kobayashi, T., Takagi, K., and Tezduyar, T. E., 2008, "Fluid-Structure Interaction Modeling of a Patient-Specific Cerebral Aneurysm: Influence of Structural Modeling," Comput. Mech., 43, pp. 151-159.
36. Bazilevs, Y., Calo, V. M., Hughes, T. R. J., and Zhang, Y., 2008,"Isogeometric Fluid-Structure Interaction: Theory, Algorithms, and Computations," Comput. Mech., 43, pp. 3-37.
37. Isaksen, J. G., Bazilevs, Y., Kvamsdal, T., Zhang, Y., Kaspersen, J. H., Waterloo, K., Romner, B. and Ingebrigtsen, T., 2008,"Determination of Wall Tension in Cerebral Artery Aneurysms by Numerical Simulation," Stroke, 39, pp. 3172-3178.
38. Dettmer, W. G., and Peric, D., 2008, "On the Coupling Between Fluid Flow and Mesh Motion in the Modelling of Fluid-Structure Interaction," Comput. Mech., 43, pp. 81-90.
39. Tezduyar, T. E., Schwaab, M., and Sathe, S., 2009, "Sequentially- Coupled Arterial Fluid-Structure Interaction (SCAFSI) Technique," Comput. Methods Appl. Mech. Eng., 198, pp. 3524-3533.
40. Torii, R., Oshima, M., Kobayashi, T., Takagi, K., and T.E. Tezduyar, 2009, "Fluid-Structure Interaction Modeling of Blood Flow and Cerebral Aneurysm: Significance of Artery and Aneurysm Shapes," Comput. Methods Appl. Mech. Eng. 198, pp. 3613-3621.
41. Bazilevs, Y., Gohean, J. R., Hughes, T. J. R., Moser, R. D., and Zhang, Y., 2009,"Patient-Specific Isogeometric Fluid-Structure Interaction Analysis of Thoracic Aortic Blood Flow Due to Implantation of the Jarvik 2000 Left Ventricular Assist Device," Comput. Methods Appl. Mech. Eng., 198, pp. 3534-3550.
42. Bazilevs, Y., Hsu, M.-C., Benson, D., Sankaran, S., and Marsden, A., 2009, "Computational Fluid-Structure Interaction: Methods and Application to a Total Cavopulmonary Connection," Comput. Mech., 45, pp. 77-89.
43. Takizawa, K., Christopher, J., Tezduyar, T. E., and Sathe, S., 2010, "Space- Time Finite Element Computation of Arterial Fluid-Structure Interactions with Patient-Specific Data," Int. J. Numer. Methods Biomed. Eng., 26, pp. 101-116.
44. Takizawa, K., Moorman, C., Wright, S., Christopher, J., and Tezduyar, T. E., 2010, "Wall Shear Stress Calculations in Space-Time Finite Element Computation of Arterial Fluid-Structure Interactions," Comput. Mech., 46, pp. 31-41.
45. Tezduyar, T. E., Takizawa, K., Moorman, C., Wright, S., and Christopher, J., 2010, "Multiscale Sequentially-Coupled Arterial FSI Technique," Comput. Mech., 46, pp. 17-29.
46. Torii, R., Oshima, M., Kobayashi, T., Takagi, K., and Tezduyar, T. E., 2010, "Influence of Wall Thickness on Fluid-Structure Interaction Computations of Cerebral Aneurysms," Int. J. Numer. Methods Biomed. Eng., 26, pp. 336-347.
47. Manguoglu, M., Takizawa, K., Sameh, A. H., and Tezduyar, T. E., 2010, "Solution of Linear Systems in Arterial Fluid Mechanics Computations with Boundary Layer Mesh Refinement," Comput. Mech., 46, pp. 83-89.
48. Torii, R., Oshima, M., Kobayashi, T., Takagi, K., and Tezduyar, T. E., 2010, "Role of 0D Peripheral Vasculature Model in Fluid-Structure Interaction Modeling of Aneurysms," Comput. Mech., 46, pp. 43-52.
49. Bazilevs, Y., Hsu, M.-C., Zhang, Y., Wang, W., Liang, X., Kvamsdal, T., Brekken, R., and Isaksen, J., 2010, "A Fully-Coupled Fluid-Structure Interaction Simulation of Cerebral Aneurysms," Comput. Mech., 46, pp. 3-16.
50. Tezduyar, T. E., Takizawa, K., Moorman, C., Wright, S., and Christopher, J., 2010, "Space-Time Finite Element Computation of Complex Fluid-Structure Interactions," Int. J. Numer. Methods Fluids, 64, pp. 1201-1218.
51. Bazilevs, Y., Hsu, M.-C., Zhang, Y., Wang, W., Kvamsdal, T., Hentschel, S., and Isaksen, J., 2010, "Computational Fluid-Structure Interaction: Methods and Application to Cerebral Aneurysms," Biomech. Model. Mechanobiol., 9, pp. 481-498.
52. Takizawa, K., Moorman, C., Wright, S., Spielman, T., and Tezduyar, T. E., 2011, "Fluid-Structure Interaction Modeling and Performance Analysis of the Orion Spacecraft Parachutes," Int. J. Numer. Methods Fluids, 65, pp. 271-285.
53. Takizawa, K., Moorman, C., Wright, S., Purdue, J., McPhail, T., Chen, P. R., Warren, J., and Tezduyar, T. E., 2011, "Patient-Specific Arterial Fluid- Structure Interaction Modeling of Cerebral Aneurysms," Int. J. Numer. Methods Fluids, 65, pp. 308-323.
54. Takizawa, K., Wright, S., Moorman, C., and Tezduyar, T. E., 2011, "Fluid- Structure Interaction Modeling of Parachute Clusters," Int. J. Numer. Methods Fluids, 65, pp. 286-307.
55. Manguoglu, M., Takizawa, K., Sameh, A. H., and Tezduyar, T. E., 2011, "Nested and Parallel Sparse Algorithms for Arterial Fluid Mechanics Computations with Boundary Layer Mesh Refinement," Int. J. Numer. Methods Fluids, 65, pp. 135-149.
56. Tezduyar, T. E., Takizawa, K., Brummer, T., and Chen, P. R., 2011, "Space- Time Fluid-Structure Interaction Modeling of Patient-Specific Cerebral Aneurysms," Int. J. Numer. Biomed. Eng., (published online, DOI: 10.1002/cnm.1433).
57. Takizawa K., and Tezduyar, T. E., 2011, "Multiscale Space-Time Fluid-Structure Interaction Techniques," Comput. Mech., 48, pp. 247-267.
58. Takizawa, K., Henicke, B., Tezduyar, T. E., Hsu, M.-C., and Bazilevs, Y., 2011, "Stabilized Space-Time Computation of Wind-Turbine Rotor Aerodynamics," Comput. Mech., 48, pp. 333-344.
59. Takizawa, K. Spielman, T., Tezduyar, T. E., 2011, "Space-Time FSI Modeling and Dynamical Analysis of Spacecraft Parachutes and Parachute Clusters," Comput. Mech., 48, pp. 345-364.
60. Brooks A. N., and Hughes, T. J. R., 1982, "Streamline Upwind/Petrov-Galerkin Formulations for Convection Dominated Flows with Particular Emphasis on the Incompressible Navier-Stokes Equations," Comput. Methods Appl. Mech. Eng., 32, pp. 199-259.
61. Tezduyar, T. E., Mittal, S., Ray, S. E., and Shih, R., 1992, "Incompressible Flow Computations with Stabilized Bilinear and Linear Equal-Order-Interpolation Velocity-Pressure Elements," Comput. Methods Appl. Mech. Eng., 95, pp. 221-242.
62. Wu, T. Y., 2011, "Fish Swimming and Bird/Insect Flight," Annu. Rev. Fluid Mech., 43, pp. 25-58.
63. Hughes, T. J. R., Cottrell, J. A., and Bazilevs, Y., 2005, "Isogeometric Analysis: CAD, Finite Elements, NURBS, Exact Geometry, and Mesh Refinement," Comput. Methods Appl. Mech. Eng. 194, pp. 4135-4195. (Pubitemid 40875970)
64. Bazilevs Y., and Hughes, T. J. R., 2008, "NURBS-Based Isogeometric Analysis for the Computation of Flows About Rotating Components," Comput. Mech., 43, pp. 143-150.
65. Bazilevs Y., and Akkerman, I., 2010, "Large Eddy Simulation of Turbulent Taylor-Couette Flow Using Isogeometric Analysis and the Residual-Based Variational Multiscale Method," J. Comput. Phys., 229, pp. 3402-3414.