Computation of free-surface flows and fluid-object interactions with the CIP method based on adaptive meshless soroban grids

Computational Mechanics

Volumn 40, Issue 1, 2007, Pages 167-183

  Takizawa, Kenji ^a   Yabe, Takashi ^b   Tsugawa, Yumiko ^b   Tezduyar, Tayfun E ^c   Mizoe, Hiroki ^d  

^a NATIONAL MARITIME RESEARCH INSTITUTE   (Japan)

^b TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

^c Rice University   (United States)

^d TOHOKU ELECTRIC POWER CO INC   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE SYSTEMS; ALGORITHMS; COMPUTATION THEORY; FLUID STRUCTURE INTERACTION; INTERPOLATION;

COLLOCATED GRIDS; FLUID OBJECT INTERACTIONS; FLUID STRUCTURE INTERACTIONS; HIGH ORDER ACCURACY;

SURFACE ANALYSIS;

EID: 34248197887     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-006-0093-2     Document Type: Article

References (32)

1. Takewaki H, Nishiguchi A, Yabe T (1985) The cubic-interpolated pseudo-particle (CIP) method for solving hyperbolictype equations. 1 Comput Phys 61:261-268
2. Takewaki H, Yabe T (1987) Cubic-interpolated pseudo particle (CIP) method - Application to nonlinear or multi-dimensional problems. J Comput Phys 70:355-372
3. Yabe T, Aoki T (1991) A universal solver for hyperbolic-equations by cubic-polynomial interpolation. I. One-dimensional solver. Comput Phys Commun 66:219-232
4. Yabe T, Xiao F, Utsumi T (2001) Constrained interpolation profile method for multiphase analysis. J Comput Phys 169:556-593
5. Yabe T, Mizoe H, Takizawa K, Moriki H, Im H, Ogata Y (2004) Higher-order schemes with CIP method and adaptive Soroban grid towards mesh-free scheme. J Comput Phys 194:57-77
6. Yabe T, Wang PY (1991) Unified numerical procedure for compressible and incompressible fluid. Phys Soc Jpn J 60:2105-2108
7. Tezduyar TE, Behr M, Liou J (1992) A new strategy for finite element computations involving moving boundaries and interfaces - The deforming-spatialdomain/space-time procedure: I. The concept and the preliminary numerical tests. Comput Methods Appl Mech Eng 94:339-351
8. Tezduyar TE, Behr M, Mittal S, 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 94:353-371
9. Johnson AA, Tezduyar TE (1996) Simulation of multiple spheres falling in a liquid-filled tube. Comput Methods Appl Mech Eng 134:351-373
10. Johnson AA, Tezduyar TE (1997) 3D simulation of fluid-particle interactions with the number of particles reaching 100. Comput Methods Appl Mech Eng 145:301-321
11. Mittal S, Tezduyar TE (1995) Parallel finite element simulation of 3D incompressible flows - Fluid-structure interactions. Int J Numerical Methods Fluids 21:933-953
12. Stein K, Benney R, Kalro V, Tezduyar TE, Leonard J, Accorsi M (2000) Parachute fluid-structure interactions: 3-D Computation. Comput Methods Appl Mech Eng 190:373-386
13. Wall W (1999) Fluid-Structure Interaction with Stabilized Finite Elements. Ph.D. thesis, University of Stuttgart
14. Heil M (2004) An efficient solver for the fully coupled solution of large-displacement fluid-structure interaction problems. Comput Methods Appl Mech Eng 193:1-23
15. Hubner B, Walhorn E, Dinkier D (2004) A monolithic approach to fluid-structure interaction using space-time finite elements. Comput Methods Appl Mech Eng 193:2087-2104
16. Dettmer W (2004) Finite element modeling of fluid flow with moving free surfaces and interfaces including fluid-solid interaction. Ph.D. thesis, University of Wales Swansea
17. Tezduyar TE (2001) Finite element methods for flow problems with moving boundaries and interfaces. Arch Comput Methods Eng 8:83-130
18. Berger MJ, Oliger J (1984) Adaptive mesh refinement for hyperbolic partial differential equations. J Comput Phys 53:484-512
19. Kirkpatrick MP, Armfield SW, Kent JH (2003) A representation of curved boundaries for the solution of the Navier-Stokes equations on a staggered three-dimensional Cartesian grid. J Comput Phys 184:1-36
20. Unverdi SO, Tryggvasson GA (1992) A front-tracking method for viscous, incompressible, multi-fluid flows. J Comput Phys 100:25-37
21. Enright D, Fedkiw R, Ferziger J, Mitchell I (2002) A hybrid particle level set method for improved interface capturing. J Comput Phys 183:83-116
22. Harlow FH, Amsden AA (1968) Numerical calculation of almost incompressible flow. J Comput Phys 3:80-93
23. Yoon SY, Yabe T (1999) The unified simulation for incompressible and compressible flow by the predictor-corrector scheme based on the CIP method. Comput Phys Commun 119:149-158
24. Aoki T (1.995) Multi-dimensional advection of CIP (cubicinterpolate propagation) scheme. CFD J 4:279-291
25. Staniforth A, Côté J (1991) Semi-Lagrangian integration scheme for atmospheric models - A review. Mon Weather Rev 119:2206-2223
26. Ogata Y, Yabe T (1999) Shock capturing with improved numerical viscosity in primitive Euler representation. Comput Phys Commun 119:1799-193
27. Tezduyar TE, Liou J, Ganjo DK (1990) Incompressible flow computations based on the vorticity-stream function and velocity-pressure formulations. Comput Struct 35:445-472
28. van der Vorst HA (1992) Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of non symmetric linear systems. SIAM J Sci Stat Comput 13:631-644
29. Lee J, Zhang J, Lu C (2003) Incomplete LU preconditioning for large scale dense complex linear systems from electromagnetic wave scattering problems. J Comput Phys 185:158-175
30. Show E, Saad Y (1997) Experimental study of ILU preconditioners for indefinite matrices. J Comput Appl Math 86:387-414
31. Yabe T, Xiao F (1993) Description of complex and sharp interface during shock wave interaction with liquid drop. Phys Soc Jpn 162:2537-2540
32. Takizawa K, Yabe T, Chino M, Kawai T, Wataji K, Hoshino H, Watanabe T (2005) Simulation and experiment on swimming fish and skimmer by CIP method. Comput Struct 83:397-408