Moving-interface computations with the edge-tracked interface locator technique (ETILT)
Corresponding Author
Marcela A. Cruchaga
Departamento de Ingeniería Mecánica, Universidad de Santiago Chile, Av. Bdo. O'Higgins 3363, Santiago, Chile
Departamento de Ingeniería Mecánica, Universidad de Santiago Chile, Av. Bdo. O'Higgins 3363, Santiago, Chile===Search for more papers by this authorDiego J. Celentano
Departamento de Ingeniería Mecánica, Universidad de Santiago Chile, Av. Bdo. O'Higgins 3363, Santiago, Chile
Search for more papers by this authorTayfun E. Tezduyar
Team for Advanced Flow Simulation and Modeling (T*AFSM), Mechanical Engineering, Rice University-MS 321, Houston TX 77005, U.S.A.
Search for more papers by this authorCorresponding Author
Marcela A. Cruchaga
Departamento de Ingeniería Mecánica, Universidad de Santiago Chile, Av. Bdo. O'Higgins 3363, Santiago, Chile
Departamento de Ingeniería Mecánica, Universidad de Santiago Chile, Av. Bdo. O'Higgins 3363, Santiago, Chile===Search for more papers by this authorDiego J. Celentano
Departamento de Ingeniería Mecánica, Universidad de Santiago Chile, Av. Bdo. O'Higgins 3363, Santiago, Chile
Search for more papers by this authorTayfun E. Tezduyar
Team for Advanced Flow Simulation and Modeling (T*AFSM), Mechanical Engineering, Rice University-MS 321, Houston TX 77005, U.S.A.
Search for more papers by this authorAbstract
We describe, for simulation of flows with moving interfaces, a computational method based on the edge-tracked interface locator technique (ETILT). The method described has been designed by bearing in mind the ease in managing a node-based interface representation and the interface sharpness and volume conservation features of the Moving Lagrangian Interface Technique. We evaluate the performance of the method with a number of test problems: filling of a step cavity, gravity-driven flow of an aluminium alloy in an obstructed channel, collapse of a liquid column, and the bore problem. Copyright © 2004 John Wiley & Sons, Ltd.
REFERENCES
- 1 Hughes TJR, Liu WK, Zimmermann TK. Lagrangian–Eulerian finite element formulation for incompressible viscous flows. Computer Methods in Applied Mechanics and Engineering 1981; 29: 239–349.
- 2 Huerta A, Liu W. Viscous flow with large free surface motion. Computer Methods in Applied Mechanics and Engineering 1988; 69: 277–324.
- 3 Tezduyar TE. Stabilized finite element formulations for incompressible flow computations. Advances in Applied Mechanics 1991; 28: 1–44.
- 4 Tezduyar TE, Behr M, Liu 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. Computer Methods in Applied Mechanics and Engineering 1992; 94(3): 339–351.
- 5 Tezduyar TE, Behr M, Mittal S, Liu J. A new strategy for finite element computations involving moving boundaries and interfaces—the deforming-spatial-domain/space–time procedure: II. Computation of free-surfaces flows, two-liquid flows, and flows with drifting cylinders. Computer Methods in Applied Mechanics and Engineering 1992; 94(3): 353–371.
- 6 Thompson E. Use of pseudo-concentrations to follow creeping viscous flows during transient analysis. International Journal for Numerical Methods in Engineering 1986; 6: 749–761.
- 7 Sethian JA. Evolution, implementation, and application of level set and fast marching methods for advancing fronts. Journal of Computational Physics 2001; 169: 503–555.
- 8 Dhatt G, Gao DM, Ben Cheikh A. A finite element simulation of metal flow in moulds. International Journal for Numerical Methods in Engineering 1990; 30: 821–831.
- 9 Codina R, Soto O. A numerical model to track two-fluid interfaces based on a stabilized finite element method and the level set technique. International Journal for Numerical Methods in Fluids 2002; 40: 293–301.
- 10 Kim MS, Lee WI. A new VOF-based numerical scheme for the simulation of fluid flow with free surface. Part I: new free surface-tracking algorithm and its verification. International Journal for Numerical Methods in Fluids 2003; 42: 765–790.
- 11 Lewis RW, Ravindran K. Finite element simulation of metal casting. International Journal for Numerical Methods in Engineering 2000; 47: 29–59.
- 12 Tezduyar TE. Finite element methods for flow problems with moving boundaries and interfaces. Archives of Computational Methods in Engineering 2001; 8: 83–130.
- 13 Tezduyar TE. Interface-tracking and interface-capturing techniques for computation of two-fluid flows. Proceedings of the First MIT Conference on Computational Fluid and Solid Mechanics, Boston, MA, 2001.
- 14 Tezduyar T. Finite element interface-tracking and interface-capturing techniques for flows with moving boundaries and interfaces. ASME Paper IMECE2001/HTD-24206. Proceedings of the ASME Symposium on Fluid-Physics and Heat Transfer for Macro- and Micro-Scale Gas-Liquid and Phase-Change Flows (CD-ROM). ASME: New York, 2001.
- 15 Tezduyar TE. Stabilized finite element formulations and interface-tracking and interface-capturing techniques for incompressible flows. In Numerical Simulations of Incompressible Flows, MM Hafez (ed.). World Scientific: New Jersey, 2003; 221–239.
10.1142/9789812796837_0013 Google Scholar
- 16 Cruchaga M, Oñate E, Idelsohn S. On the pseudomaterial approach for the analysis of transient forming processes. Communications in Numerical Methods in Engineering 1995; 11: 137–148.
- 17 Cruchaga MA, Oñate E. A finite element formulation for incompressible flow problems using a generalized streamline operator. Computer Methods in Applied Mechanics and Engineering 1997; 143: 49–67.
- 18 Cruchaga MA, Oñate E. A generalized streamline finite element approach for the analysis of incompressible flow problems including moving surfaces. Computer Methods in Applied Mechanics and Engineering 1999; 173: 241–255.
- 19 Cruchaga M, Celentano D, Tezduyar T. A moving Lagrangian interface technique for flow computations over fixed meshes. Computer Methods in Applied Mechanics and Engineering 2001; 191: 525–543.
- 20 Cruchaga M, Celentano D, Tezduyar T. Computation of mould filling processes with a moving Lagrangean interface technique. Communications in Numerical Methods in Engineering 2002; 18: 483–493.
- 21 Tezduyar TE. Finite elements methods for fluid dynamics with moving boundaries and interfaces. Encyclopedia of Computational Mechanics, 2004, to appear.
10.1002/0470091355.ecm069 Google Scholar
- 22 Tezduyar TE. Stabilized finite elements methods for flows with moving boundaries and interfaces. HERMIS International Journal, 2004, to appear.
- 23 Tezduyar TE. Moving boundaries and interfaces. Finite Element Methods: 1970's and Beyond, 2004, to appear.
- 24 Bonet J, Look T. Variational and momentum preservation aspects of smooth particle hydrodynamic formulations. Computer Methods in Applied Mechanics and Engineering 1999; 180: 97–115.
- 25 Martin J, Moyce W. An experimental study of the collapse of liquid columns on a rigid horizontal plane. Philosophical Transactions of the Royal Society of London 1952; 244: 312–324.
- 26 García V, Muñoz-Cobo J, López L. Use of high accuracy schemes to handle free surfaces in computing unsteady two-phase flows. Computer Methods in Applied Mechanics and Engineering 1998; 162: 271–286.
10.1016/S0045-7825(97)00347-2 Google Scholar
- 27 Idelsohn S, Storti M, Oñate E. Lagrangian formulations to solve free surfaces incompressible inviscid fluid flows. Computer Methods in Applied Mechanics and Engineering 2001; 191: 583–593.
- 28 Koshizuka S, Tamako H, Oka Y. A particle method for incompressible viscous flow with fluid fragmentation. Journal of Computational and Fluid Dynamics 1995; 4: 29–46.
Citing Literature
Special Issue on Advances and Challenges in Flow Simulation and Modelling
28 February ‐ 10 March 2005
Pages 451-469