Preconditioning for incompressible flows with free-surfaces and two-fluid interfaces

Journal of Computational Physics

Volumn 207, Issue 1, 2005, Pages 282-308

  Helenbrook, B T ^a  

^a Clarkson University   (United States)

Author keywords

Artificial compressibility; Free surface flow; Incompressible flow; Interfacial flow; Multigrid; Preconditioning

Indexed keywords

COMPRESSIBILITY; ITERATIVE METHODS; KINEMATICS; REYNOLDS NUMBER;

ARTIFICIAL COMPRESSIBILITY; FLOW-TIME; FREE SURFACES; FREE-SURFACE FLOW; INTERFACIAL FLOWS; KINEMATIC CONDITION; MULTIGRIDS; PRECONDITIONERS; PRECONDITIONING; TIME STEP;

INCOMPRESSIBLE FLOW;

EID: 18344378060     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.01.012     Document Type: Article

References (23)

1. J. Farmer L. Martinelli A. Jameson Fast multigrid method for solving incompressible hydrodynamic problems with free surfaces AIAA Journal 32 6 1994 1175-1182
2. Y. Tahara F. Stern A large-domain approach for calculating ship boundary layers and wakes and wave fields for nonzero froude number J. Comp. Phys. 127 2 1996 398-411
3. D.S. Dandy L.G. Leal Buoyancy-driven motion of a deformable drop through a quiescent liquid at intermediate Reynolds numbers J. Fluid Mech. 208 1989 161-192
4. B.T. Helenbrook C.F. Edwards Quasi-steady deformation and drag of uncontaminated liquid drops Int. J. Multi-Phase Flows 28 2002 1631-1657
5. R.E. Nickell R.I. Tanner B. Caswell The solution of viscous incompressible jet and free-surface flows using finite-element methods J. Fluid Mech. 65 1974 189-206
6. C.Y. Loh H. Rasmussen A numerical procedure for viscous free surface flows Appl. Num. Math. 3 1987 479-495
7. L.-W. Ho E.M. Rönquist Spectral element solution of steady incompressible viscous free-surface flows Finite Elements Anal. Design 16 1994 207-227
8. D. Pan Y.-S. Yang C.-H. Chang Computation of internal flow with free surfaces using artificial compressibility Numerical Heat Transfer, Part B 33 4 1998 119-134
9. I. Robertson S. Sherwin Free-surface flow simulation using hp/spectral elements J. Comp. Phys. 155 1999 26-53
10. B.T. Helenbrook A two-fluid spectral element method Comp. Meth. Appl. Mech. Eng. 191 2001 273-294
11. B.R. Hodges R.L. Street On simulation of turbulent nonlinear free-surface flows J. Comp. Phys. 151 1999 425-457
12. W.-T. Tsai A numerical study of the evolution and structure of a turbulent shear layer under a free surface J. Fluid Mech. 354 1998 239-276
13. S. Ohring H.J. Lugt Interaction of a viscous vortex pair with a free surface J. Fluid Mech. 227 1991 47-70
14. F.M. Orr L.E. Scriven Rimming flow: Numerical simulation of steady, viscous, free-surface flow wih surface tension J. Fluid Mech. 84 1978 145-165
15. G. Ryskin L.G. Leal Numerical solution of free-boundary problems in fluid mechanics: Part 1: The finite-difference technique J. Fluid Mech. 148 1984 1-17
16. A.J. Chorin A numerical method for solving incompressible viscous flow problems J. Comput. Phys. 2 1967 12-26
17. E. Turkel Preconditioned methods for solving the incompressible and low speed compressible equations J. Comp. Phys. 72 1987 277-298
18. J.D. Ramshaw V.A. Mousseau Accelerated artificial compressibility method for steady-state inompressible flow calculations Comput. & Fluids 18 4 1990 361-367
19. B.T. Helenbrook, Preconditioning for incompressible flow simulations in all limits, in preparation
20. A.N. Brooks T.J.R. Hughes Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations Comp. Meth. Appl. Mech. Eng. 32 1982 199-259
21. L. Martinelli, Calculations of viscous flow with a multigrid method, Ph.D. thesis, Princeton University, Princeton, NJ (October 1987)
22. A. Belov, A new multigrid-driven algorithm for unsteady incompressible flow calculations on parallel computers, Ph.D. thesis, Princeton University (June 1997)
23. D.J. Mavriplis, Multigrid techniques for unstructured meshes, Tech. Rep. 95-27, ICASE (April 1995)