Comparison of wall boundary conditions for numerical viscous free surface flow simulation

Journal of Fluids and Structures

Volumn 19, Issue 4, 2004, Pages 525-542

  Robertson, I ^a   Sherwin, S J ^a   Graham, J M R ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Free surface contact boundary conditions; Free surface flows; Sloshing viscous fluid; Spectral hp element method

Indexed keywords

BOUNDARY CONDITIONS; CODES (SYMBOLS); COMPUTER SIMULATION; DAMPING; LAGRANGE MULTIPLIERS; REYNOLDS NUMBER; LIQUID SLOSHING; NONLINEAR EQUATIONS; PRESSURE EFFECTS;

VELOCITY PRESSURE FORMULATION;

VISCOSITY; VISCOUS FLOW;

BOUNDARY CONDITIONS; FLOW MODELING; FREE SURFACE FLOW; SLOSHING; WALL; EULERIAN-LAGRANGIAN ALGORITHM; FLUID-STRUCTURE INTERACTION; NEAR-WALL FLOW; VISCOUS FLUID;

NONLINEAR PRESSURES; WALL BOUNDARY CONDITIONS;

EID: 3042647370     PISSN: 08899746     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfluidstructs.2004.02.007     Document Type: Article

References (33)

1. Beskok, A., Warburton, T., 2001. An unstructured hp finite-eiement scheme for fluid flow and heat transfer in moving domains. Journal of Computational Physics 174, 492-509.
2. Cai, X., Langtangen, H., Neilsen, B., Tveito, A., 1998. A finite element method for fully nonlinear water waves. Journal of Computational Physics 143, 544-568.
3. Celebi, M., Kim, M., Beck, R., 1998. Fully nonlinear three-dimensional numerical wave tank simulation. Journal of Ship Research 42, 33-45.
4. Dussan, E., 1976. The moving contact line: the slip boundary condition. Journal of Fluid Mechanics 77 (4), 665-684.
5. Ferrant, P., 1996. Simulation of strongly nonlinear wave generation and wave-body interactions using a 3d mel model. In: 21st Symposium on Naval Hydrodynamics, pp. 226-241.
6. Guermond, J., Shen, J., 2003, Velocity-correction projection methods for incompressible flows. SIAM Journal of Numerical Analysis 41, 112.
7. Hirt, C., Amsden, A., Cook, H., 1974. An arbitrary Lagrangian-Eulerian computing method for all flow speeds. Journal of Computational Physics 14, 227-253.
8. Ho, L.-W., 1995. A Legrende spectral element method for simulation of incompressible unsteady free-surface flows. Ph.D. Thesis, Trondheim University.
9. Hocking, L., 1987. Waves produced by a vertically oscillating plate. Journal of Fluid Mechanics 179, 267-281.
10. Huerta, A., Wing Kam, L., 1988. Viscous flow with large free surface motion. Computer Methods in Applied Mechanics and Engineering 69, 277-324.
11. Karniadakis, G., Sherwin, S., 1997. Spectral/hp Element Methods for CFD. Oxford University Press, Oxford.
12. Karniadakis, G., Israeli, M., Orszag, S., 1991. High-order splitting methods for the incompressible Navier-Stokes equations. Journal of Computational Physics 97, 414-443.
13. Keulegan, G., 1959. Energy dissipation in standing waves in rectangular basins. Journal of Fluid Mechanics 6, 33-50.
14. Lamb, H., 1975. Hydrodynamics, 6th Edition. Cambridge University Press, Cambridge.
15. Landau, L., Lifschitz, E., 1959. Fluid Mechanics. Pergamon Press, Oxford.
16. Lohner, R., Yang, C., 1996. Improved ale mesh velocities for moving bodies. Comm. Num. Meth. Eng. Phys. 12, 599-608.
17. Miles, J., 1967. Surface-wave damping in closed basins. Proceedings of the Royal Society of London Series A 297, 459-475.
18. Miles, J., 1991. Wave motion in a viscous fluid of variable depth. Journal of Fluid Mechanics 223, 47-55.
19. Orszag, S., Israeli, M., Deville, M., 1986. Boundary conditions for incompressible flows. J. Sci. Comput. 1, 75-87.
20. Ramaswamy, B., 1989. Numerical simulation of viscous free surface flow, Journal of Computational Physics 90, 659-670.
21. Ramaswamy, B., Kawahara, M., 1987, Arbitrary Lagragian-Eulerian finite element method for unsteady, convective, incompressible viscous free surface flow. In: Gallagher, R.H., Glowinski, R., Gresho, P.M., Oden, J.T., Zienkiewicz, O.C. (Eds.), in Finite Elements in Fluids, Vol. 7. Wiley, NY, pp. 65-87.
22. Robertson, I., 2000. Free surface flow simulations using high order algorithms. Ph.D Thesis, Imperial College London, Department of Aeronautics.
23. Robertson, I., Sherwin, S.J., 1999. Free-surface flow simulations using hp/spectral elements. Journal of Computational Physics 155, 26-53.
24. Sherwin, S., 1995. Triangular and tetrahedral spectral/hp finite element methods for fluid dynamics. Ph.D. Thesis, Princeton University, Department of Mechanical and Aerospace Engineering.
25. Sherwin, S., Karniadakis, G., 1995a. Tetrahedral hp finite elements: algorithms and flow simulations. International Journal of Numerical Methods in Engineering 38, 37-75.
26. Sherwin, S., Karniadakis, G., 1995b. A triangular spectral element method: applications to the incompressible Navier-Stokes equations. Computer Methods in Applied Mechanics and Engineering 123l, 189-229.
27. Solaas, F., 1995. Analytical and numerical studies of sloshing in tanks. Ph.D. Thesis, Trondheim University.
28. Ting, C., Perlin, M., 1995. Boundary conditions in the vicinity of the contact line at a vertically oscillating upright plate: an experimental investigation. Journal of Fluid Mechanics 295, 263-300.
29. Warburton, T., Karniadakis, G., 1997. Spectral simulations of flow past a cylinder close to a free surface. ASME FEDSM 97-3389.
30. Wu, G., Eatock Taylor, R., 1994. Finite element analysis of two-dimensional non-linear transient water waves. Applied Ocean Research 16, 363-372.
31. Wu, G., Ma, Q., Eatock Taylor, R., 1998. Numerical simulation of sloshing waves in a 3d tank based on a finite element method. Applied Ocean Research 20 (6), 337-355.
32. Wu, G., Eatock Taylor, R., Greaves, D., 2001. The effect of viscosity on the transient free-surface waves in two-dimensional tank. Journal of Engineering Mathematics 40, 77-90.
33. Young, G., Davis, S., 1987. A plate oscillating across a liquid interface: effect of contact angle hysteresis. Journal of Fluid Mechanics 174, 327-356.