An adaptive mesh rezoning scheme for moving boundary flows and fluid-structure interaction

Computers and Fluids

Volumn 36, Issue 1, 2007, Pages 77-91

  Masud, Arif ^a   Bhanabhagvanwala, Manish ^a   Khurram, Rooh A ^a  

^a 1120 Science and Engineering Offices   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYER FLOW; COMPUTER SIMULATION; FLOW MEASUREMENT; FLUID STRUCTURE INTERACTION; KINEMATICS; VELOCITY MEASUREMENT;

ADAPTIVE MESH REZONING TECHNIQUE; FLUID MESH VELOCITY; MOVING BOUNDARY FLOWS;

COMPUTATIONAL FLUID DYNAMICS;

BOUNDARY LAYER FLOW; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; FLOW MEASUREMENT; FLUID STRUCTURE INTERACTION; KINEMATICS; VELOCITY MEASUREMENT;

EID: 33750979033     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2005.07.013     Document Type: Article

References (41)

1. Aquelet N., Souli M., and Olovsson L. Euler-Lagrange coupling with damping effects: application to slamming problems. Comput Meth Appl Mech Eng 29 (1984) 329-349
2. Babuska I. Error bounds for finite element method. Numer Math 16 (1971) 322-333
3. Barbosa H.J.C., and Hughes T.J.R. The finite element method with Lagrange multipliers on the boundary: circumventing the Babuska-Brezzi condition. Comput Meth Appl Mech Eng 85 1 (1991) 109-128
4. Belytschko T., Kennedy J.M., and Schoeberie D.F. Quasi-Eulerian finite element formulation for fluid-structure interaction. ASME J Press Vess Technol 102 (1980) 62-69
5. Bottasso C.L., Detomi D., and Serra R. The ball-vertex method: a new simple spring analogy method for unstructured dynamic meshes. Comput Meth Appl Mech Eng 194 39-41 (2005) 4244-4264
6. Brackbill J.U., and Saltzman J.S. Adaptive zoning for singular problems in two dimensions. J Comput Phys 46 (1982) 342-368
7. Brezzi F., and Fortin M. Mixed and hybrid finite element methods (1991), Springer-Verlag, New York-Heidelberg-Berlin
8. Brezzi F. On the existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers. Rev Fr Automat Inform Recher Oper. Ser Rouge Anal Numer R-2 (1974) 129-151
9. Chen JS, Liu WK, Belytschko T. Arbitrary Lagrangian-Eulerian methods for materials with memory and friction. In: Tezduyar TE, Hughes TJR, editors. Recent developments in computational fluid dynamics, AMD-vol. 95. 1988.
10. Ciarlet P.G. The finite element method for elliptic problems (1978), North-Holland, Amsterdam
11. Degand C., and Farhat C. A three-dimensional torsional spring analogy method for unstructured dynamic meshes. Comput Struct 80 (2002) 305-316
12. Donea J. Arbitrary Lagrangian-Eulerian finite element methods. In: Belytschko T., and Hughes T.J.R. (Eds). Computational methods for transient analysis (1983), North-Holland, Amsterdam 473-516
13. Donea J, Fasoli-Stella P, Giuliani S. Lagrangian and Eulerian finite element techniques for transient fluid-structure interaction problems. In: Transactions of the 4th international conference on structural mechanics in reactor technology, Paper B1/2. 1977.
14. Farhat C., Degand C., Koobus B., and Lesoinne M. Torsional springs for two-dimensional dynamic unstructured fluid meshes. Comput Meth Appl Mech Eng 163 (1998) 231-245
15. Farhat C., Pierson K., and Degand C. Multidisciplinary simulation of the maneuvering of an aircraft. Eng Comput 17 (2001) 16-27
16. R.M. Ferencz, Element-by-element preconditioning techniques for large-scale, vectorized finite element analysis in nonlinear solid and structural mechanics. Ph.D. Thesis, Division of Applied Mechanics, Stanford University, 1989.
17. Godunov S.K., and Prokopov G.P. The use of moving meshes in gas-dynamic calculations. USSR Comput Math Math Phys 12 2 (1972) 182-191
18. Glowinski R., and Tallec P.L. Augmented Lagrangian and operator-splitting methods in nonlinear mechanics. SIAM Studies in Applied Mathematics (1989), Society for Industrial and Applied Mathematics, Philadelphia, Pennsylvania
19. Hassan O., Probert E.J., Morgan K., and Weatherill N.P. Unsteady flow simulation using unstructured meshes. Comput Meth Appl Mech Eng 189 (2000) 1247-1275
20. Hughes T.J.R., Liu W.K., and Zimmerman T.K. Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Comput Meth Appl Mech Eng 29 (1984) 329-349
21. Hughes T.J.R., and Mallet M. A new finite element formulation for computational fluid dynamics: IV. A discontinuity-capturing operator for multidimensional advective-diffusive systems. Comput Meth Appl Mech Eng 58 (1986) 329-339
22. Johnson A.A., and Tezduyar T.E. Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces. Comput Meth Appl Mech Eng 119 (1994) 73-94
23. Johnson A.A., and Tezduyar T.E. Simulation of multiple spheres falling in a liquid-filled tube. Comput Meth Appl Mech Eng 134 (1996) 351-373
24. Johnson A.A., and Tezduyar T.E. Advanced mesh generation and update methods for 3D flow simulations. Comput Mech 23 (1999) 130-143
25. Koobus B., and Farhat C. Second-order time-accurate and geometrically conservative implicit schemes for flow computations on unstructured dynamic meshes. Comput Meth Appl Mech Eng 170 (1999) 103-129
26. Masud A. On a stabilized formulation for incompressible Navier-Stokes equations. In: Kanayama H, editor. Proc 6th Japan-US international symposium on flow simulation and modeling, Fukuoka, Japan. May 2002, p. 33-8.
27. Masud A., and Hughes T.J.R. A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems. Comput Meth Appl Mech Eng 146 (1997) 91-126
28. Masud A, Khurram RA. A multiscale finite element method for the incompressible Navier-Stokes equation, Comput Meth Appl Mech Eng, in press.
29. Masud A, Khurram R, Bhagwanwala M, A stable method for fluid-structure interaction problems. In: Yao ZH, Yuan MW, Zhong WX, editors. Proceedings CD-ROM of the sixth world congress on computational mechanics. ISBN 7-89494-512-9, Beijing, China, 2004.
30. Mittal S., Aliabadi S., and Tezduyar T. Parallel computation of unsteady compressible flows with the EDICT. Comput Mech 23 (1999) 151-157
31. Mittal S., and Tezduyar T.E. A finite element study of incompressible flows past oscillating cylinders and airfoils. Int J Numer Meth Fluids 15 (1992) 1073-1118
32. Lesoinne M., and Farhat C. Geometric conservation laws for flow problems boundaries and deformable meshes, and their aeroelastic computations. Comput Meth Appl Mech Eng 134 (1996) 71-90
33. Nkonga B. On the conservative and accurate CFD approximations for moving meshes and moving boundaries. Comput Meth Appl Mech Eng 190 (2000) 1801-1825
34. Stein K., Tezduyar T., and Benney R. Mesh moving techniques for fluid-structure interactions with large displacements. J Appl Mech 70 (2003) 58-63
35. Stein K., Tezduyar T.E., and Benney R. Automatic mesh update with the solid-extension mesh moving technique. Comput Meth Appl Mech Eng 193 (2004) 2019-2032
36. Tezduyar T., Aliabadi S., Behr M., Johnson A., Kalro V., and Litke M. Flow simulation and high performance computing. Comput Mech 18 (1996) 397-412
37. Tezduyar T.E., Behr M., and Liou J. 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 tests. Comput Meth Appl Mech Eng 94 (1992) 339-351
38. Tezduyar T.E., Behr M., Mittal S., and Johnson A.A. Computation of unsteady incompressible flows with the stabilized finite element methods-space-time formulations, iterative strategies and massively parallel implementations. New methods in transient analysis PVP-vol. 246/AMD-vol. 143 (1992), ASME, New York p. 7-24
39. Wang H.P., and McLay R.T. Automatic remeshing scheme for modeling hot forming process. J Fluid Eng 108 (1986) 465-469
40. Winslow AM. Equipotential zoning of two-dimensional meshes. University of California, Lawrence Radiation Laboratory Report, UCRL-7312, 1963.
41. Zhao Y., and Forhad A. A general method for simulation of fluid flows with moving and compliant boundaries on unstructured grids. Comput Meth Appl Mech Eng 192 (2003) 4439-4466