A free surface updating methodology for marker function-based Eulerian free surface capturing techniques on unstructured meshes

Communications in Numerical Methods in Engineering

Volumn 20, Issue 11, 2004, Pages 857-867

  Dufour, Steven ^a   Malidi, Ahamadi ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

Free surface capturing; Free surface flows; Free surface updating; Mass conservation; Unstructured mesh

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; FLOW OF FLUIDS; GEOTEXTILES; MASS TRANSFER; NATURAL CONVECTION; TRANSITION FLOW;

FREE SURFACE FLOWS; INTERFACE CAPTURING;

RUNWAY MARKINGS;

MATHEMATICAL ANALYSIS;

EID: 8744281755     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/cnm.719     Document Type: Article

References (14)

1. Floryan JM, Rasmussen H. Numerical methods for viscous flows with moving boundaries. In Applied Mechanics Review, Metzner AWK (eds). ASME: New York, 1989; 323-341.
2. Malidi A, Dufour S. A study of time integration schemes for the numerical modeling of free surface flows. International Journal for Numerical Methods in Fluids 2004, submitted.
3. Thompson E. Use of pseudo-concentration to follow creeping viscous flows during transient analysis. International Journal for Numerical Methods in Fluids 1986; 6:749-761.
4. Béliveau A, Fortin A, Demay Y. A two-dimensional numerical method for the deformation of drops with surface tension. International Journal of Computational Fluid Dynamics 1998; 10 225-240.
5. Sethian JA. Level set methods. Evolving Interfaces in Geometry, Fluid Mechanics, Computer Vision, and Materials Science. Cambridge University Press, Cambridge, 1999.
6. Keck R. Reinitialization for level set methods. Diploma Thesis, University of Kaiserslautern, 1998.
7. Rider WJ, Kothe DB. Stretching and tearing interface tracking methods. Proceedings of the 12th AIAA Computational Fluid Dynamics Conference, AIAA Paper 95-1717, San Diego, CA, 1995; 11.
8. Sussman M, Fatemi E. An efficient, interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow. SIAM Journal on Scientific Computing 1999; 20(4):1165-1191.
9. Quecedo M, Pastor M. Application of the level set method to the finite element solution of two-phase flows. International Journal for Numerical Methods in Engineering 2001; 50:645-663.
10. Lee SL, Sheu SR. A new formulation for incompressible viscous free surface flow without smearing the free surface. International Journal of Heat and Mass Transfer 2001; 44:1837-1848.
11. Aliabadi S, Tezduyar ET. Stabilized-finite-element/interface-capturing techniques for parallel computation of unsteady flows with interfaces. Computer Methods in Applied Mechanics and Engineering 2000; 190: 243-261.
12. Fortin M, Fortin A. A generalization of Uzawa's algorithm for the solution of the Navier-Stokes equations. Communications in Applied Numerical Methods 1985; 1:205-208.
13. Brackbill JU, Kothe DB, Zemach C. A continuum method for modeling surface tension. Journal of Computational Physics 1992; 100:335-354.
14. Labbé P, Garon A. A robust implementation of Zienkiewicz and Zhu's local patch recovery method. Communications in Numerical Methods in Engineering 1995; 11:427-434.