Characteristics ALE method for the unsteady 3D Navier-Stokes equations with a free surface

International Journal of Computational Fluid Dynamics

Volumn 6, Issue 3, 1996, Pages 175-188

  Maury, B ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

ALE; Domain velocity; Free surface convection; Navier Stokes; Surface tension

Indexed keywords

EID: 0013425921     PISSN: 10618562     EISSN: None     Source Type: Journal    
DOI: 10.1080/10618569608940780     Document Type: Article

References (12)

1. K. Boukir, Y. Maday and B. Metivet, E. Razafindrakoto (1992). Publication du Laboratoire d'Analyse Numérique R 92032. Université Pierre et Marie Curie.
2. J. Donea, S. Giuliani and J. P. Halleux (1982). An arbitrary Lagrangian-Eulerian Finite Element Method for Transient Dynamic Fluid-Structure Interactions, Comp. Methods in App. Mech. and Eng., 33, 689-723.
3. N. D. Di Pietro, C. Huh and G. Cox (1978). The Hydrodynamics of the Spreading of One Liquid on the Surface of another, J. Fluid Mech., 84(3), 529-549.
4. P. Fleury (1992). Modélisation Mathématique et Numérique de l'Écoulement de Fluides Viscoplastiques Non-Newtoniens. Application au Filage et au Laminage, Thèse de l'École Polytechnique.
5. S. d'Halewyn and J. F. Agassant (1990). Numerical Simulation of the Cast Film Process, Polymer Engineering and Science, 30, 6.
6. T. J. R. Hughes, W. Liu and T. K. Zimmermann (1981). Lagrangian-Eulerian Finite Element Formulation for Incompressible Viscous Flows, Comp. Methods in App. Mech. and Eng., 29, 329-349.
7. S. F. Kistler and L. E. Scriven (1984). Coating Flow Theory by Finite Element and Asymptotic Analysis of the Navier-Stokes System, International Journal for Numerical Method in Fluids, 4, 207-229.
8. B. Maury (1993). Formulation ALE et Méthode des Caractéristiques pour les Équations de Navier-Stokes avec Surface Libre, Publications du Laboratorie d'Analyse Numérique R93026, Université Pierre et Marie Curie.
9. B. D. Nichols and C. W. Hirt (1973). Calculating Three Dimentional Free Surface Flows in the Vicinity of Submerged and Exposed Structures, Journal of Computational Physics, 12, 234-246.
10. O. Pironneau. Méthode des Éléments Finis pour les Fluides, RMA 7 Masson.
11. O. Pironneau, J. Liou and T. Tezduyar (1992). Characteristic-Galerkin and Galerkin Least-Squares Space-Time Formulations for thé Advection-Diffusion Equation with Time-Dependent Domains, Computer Method in Applied Mechanics and Engineering, 100, 117-141.
12. O. C. Zienkiewicz. Flow Formulation for Numerical Solution of Forming Processes, Numerical Analysis of Forming Processes, 1-44, John Wiley & Sons.