3D two phase flows numerical simulations by SL-VOF method

International Journal for Numerical Methods in Fluids

Volumn 45, Issue 6, 2004, Pages 581-604

  Biausser, Benjamin ^a,b   Guignard, Stephan ^c   Marcer, Richard ^a   Fraunié, Philippe ^b  

^a Principia R and D SA   (France)

^b UNIVERSITÉ DE TOULON   (France)

^c AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

Interface tracking; Navier Stokes; Rayleigh Taylor instability; Volume of fluid

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; INTERFACES (MATERIALS); NAVIER STOKES EQUATIONS; NUMERICAL METHODS;

LAGRANGIAN ADVECTION; PIECEWISE LINEAR INTERFACE CALCULATIONS (PLIC); PSEUDO-COMPRESSIBILITY;

TWO PHASE FLOW;

LAGRANGIAN ANALYSIS; MATHEMATICAL ANALYSIS; MODEL; NAVIER-STOKES EQUATIONS; THREE-DIMENSIONAL FLOW; TWO-PHASE FLOW;

EID: 2942511195     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.708     Document Type: Article

References (13)

1. Hyman JM. Numerical method for tracking interfaces. Physica D 1984; 12:396-407.
2. Laget O. Résolution des équations d'Euler pour des écoulements non-linéaires en présence d''ne interface. Thèse de Doctorat, Université de Nice, 1998.
3. Grilli ST, Svendsen IA, Subramanya R. Breaking criterion and characteristics for solitary wave breaking on slopes. Journal of Waterway Part C, ASCE 1997; 123(3):102-112.
4. Hirt CW, Nichols BD. Volume of fluid method for the dynamics of free boundaries. Journal of Computational Physics 1981; 39:323-345.
5. Li J. Piecewise linear interface calculation. Comptes Rendus de I Academie des Sciences Serie II. Fascicule B-Mecanique 1995; 320:391-396.
6. Guignard S, Marcer R, Rey V, Kharif C, Fraunié P. Solitary wave breaking on sloping beaches: 2D two phase flow numerical simulation by SL-VOF method. European Journal of Mechanics B-Fluids 2001; 20:57-74.
7. Viviand H. Analysis of pseudo-compressibility systems for compressible and incompressible flows. In Computational Fluid Dynamics, Review 1995. Oshima H (ed.), Wiley: New York, 1995.
8. De Jouëtte C, Viviand H, Wornom S, Le Gouez JM. Pseudo compressibility method for incompressible flow calculation. 4th International Symposium on Computational Fluid Dynamics, California, Davis, 9-12 September, 1991.
9. Jameson A, Schmidt A, Turkel E. Numerical solutions for the Euler equations by finite volumes methods using Runge-Kutta time-marching schemes. AIAA 14th Fluid and Plasma Dynamics, Conference, Palo Alto, California, June 1981.
10. Abadie S. Modélisation du déferlement plongeant par une méthode VOF. Thèse de Doctorat, Université de Bordeaux 1, 1998.
11. Lord Rayleigh. Scientific Papers, vol ii. Cambridge University Press, Cambridge, UK, 1900; p. 200.
12. Tryggvason G. Numerical Simulations of the Rayleigh-Taylor Instability. Journal of Computational Physics 1988; 75:253-282.
13. Chandrasekhar S. The character of the equilibrium of an incompressible heavy viscous fluid of variable density. Proceedings of the Cambridge Philosophical Society 1955; 51:162.