Lagrangian finite element analysis of Newtonian fluid flows

International Journal for Numerical Methods in Engineering

Volumn 43, Issue 4, 1998, Pages 607-619

  Radovitzky, R ^a   Ortiz, M ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Finite elements; Fluid flows; Lagrangian formulation; Mesh adaption; Wave breaking

Indexed keywords

BOUNDARY CONDITIONS; COMPRESSIBLE FLOW; COMPUTER SIMULATION; FINITE ELEMENT METHOD; NAVIER STOKES EQUATIONS;

LAGRANGIAN FORMULATION; MESH ADAPTATION; WAVE BREAKING;

NEWTONIAN FLOW;

FINITE ELEMENT METHOD; FLUID FLOW; NEWTONIAN FLUID;

FINITE ELEMENT METHOD; FLUID FLOW; NEWTONIAN FLUID;

EID: 0032582872     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19981030)43:4<607::AID-NME399>3.0.CO;2-N     Document Type: Article

References (24)

1. F. H. Harlow and J. E. Welch, 'Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface', Phys. Fluids, 8, 2182-2189 (1965).
2. B. Ramaswamy, 'Numerical simulation of unsteady viscous free surface flow', J. Comput. Phys., 90, 396-430 (1990).
3. J. Donea, 'An arbitrary Lagrangian-Eulerian finite element method for transient fluid-structure interactions', Comput. Meth. Appl. Mech. Engng., 33, 689-723 (1982).
4. A. Huerta and F. Casadei, 'New ale applications in non-linear fast-transient solid dynamics', Engng. Comput., 11, 317-345 (1994).
5. C. W. Hirt, J. L. Cook and T. D. Butler, 'A Lagrangian method for calculation of the dynamics of an incompressible fluid with a free surface', J. Comput. Phys., 5, 103 (1970).
6. T. B. Belytschko and J. M. Kennedy, 'A fluid-structure finite element method for the analyses of reactor safety problems', Nucl. Engng. Des., 38, 71-81 (1976).
7. P. Bach and O. Hassager, 'An algorithm for the use of the Lagrangian specification in Newtonian fluid mechanics and applications to free surface flow', J. Fluid Mech., 152, 173-190 (1985).
8. B. Ramaswamy, M. Kawahara and T. Nakayama, 'Lagrangian finite element method for the analysis of two-dimensional sloshing problems', Int. J. Numer. Meth. Fluids, 6, 659-670 (1986).
9. B. Ramaswamy and M. Kawahara, 'Lagrangian finite element analysis applied to viscous free surface flow', Int. J. Numer. Meth. Fluids, 7, 953-984 (1986).
10. M. Kawahara and A. Anjyu, 'Lagrangian finite element method for solitary wave propagation', Comput. Mech., 3, 299-307 (1988).
11. R. Lohner, 'Some useful data structures for the generation of unstructured grids', Commun. Appl. Numer. Meth., 4, 123-135 (1988).
12. J. Peraire and J. Peiro, 'Adaptive remeshing for three-dimensional compressible flow computations', J. Comput. Phys., 103, 269-285 (1992).
13. T. D. Marusich and M. Ortiz, 'Modelling and simulation of high-speed machining', Int. J. Numer. Meth. Engng., 38, 3675-3694 (1995).
14. G. T. Camacho, 'Computational modelling of impact damage and penetration of brittle and ductile solids', Ph.D. Thesis, Brown University, Providence, Rhode Island, May 1996.
15. G. T. Camacho and M. Ortiz, 'Computational modelling of impact damage in brittle materials', Int. J. Solids Struct., 33(20-22), 2899-2938 (1996).
16. T. J. R. Hughes, 'Analysis of transient algorithms with particular reference to stability behavior', in T. Belytschko and T. J. R. Hughes (eds.), Computational Methods for Transient Analysis, North-Holland, Amsterdam, 1983, pp. 67-155.
17. T. Belytschko, 'An overview of semidiscretization and time integration procedures', in T. Belytschko and T. J. R. Hughes (eds.), Computational Methods for Transient Analysis, North-Holland, Amsterdam, 1983, pp. 1-65.
18. G. T. Camacho and M. Ortiz, 'Adaptive Lagrangian modelling of ballistic penetration of metallic targets', Comput. Meth. Appl. Mech. Engng., 142, 269-301, 1997.
19. P. L. Baehmann, S. L. Wittchen, M. S. Shephard, K. R. Grice and M. A. Yerry, 'Robust, geometrically based, automatic two-dimensional mesh generation', Int. J. Numer. Meth. Engng., 24, 1043-1078 (1987).
20. J. Peraire, M. Vahdati, K. Morgan and O. C. Zienkiewicz, 'Adaptive remeshing for compressible flow computations', J. Comput. Phys., 72, 449-466 (1987).
21. H. Jin and N. E. Wiberg, 'Two-dimensional mesh generation, adaptive remeshing and refinement', Int. J. Numer. Meth. Engng., 29, 1501-1526 (1990).
22. M. Ortiz and J. J. Quigley, 'Adaptive mesh refinement in strain localization problems', Comput. Meth. Appl. Mech. Engng., 90, 781-804 (1991).
23. S. T. Grilli and R. Subramanya, 'Numerical modeling of wave breaking induced by fixed or moving boundaries', Comput. Mech., 17, 374-391 (1996).
24. E. V. Laitone, 'The second approximation to cnoidal waves', J. Fluid Mech., 9, 430 (1960).