Coupled ghost fluid/two-phase level set method for curvilinear body-fitted grids

International Journal for Numerical Methods in Fluids

Volumn 55, Issue 9, 2007, Pages 867-897

  Huang, Juntao ^a   Carrica, Pablo M ^a   Stern, Frederick ^a  

^a UNIVERSITY OF IOWA   (United States)

Author keywords

Curvilinear grids; Fast marching method; Ghost fluid method; Level set method; Moving interface flows; Ship hydrodynamics

Indexed keywords

COMPUTATIONAL METHODS; HYDRODYNAMICS; MOMENTUM; PRESSURE GRADIENT; TURBULENT FLOW; VELOCITY DISTRIBUTION;

GHOST FLUID METHOD; HEAVISIDE FUNCTION METHOD; LEVEL SET METHOD; SUB-CRITICAL FLOW;

TWO PHASE FLOW;

COMPUTATIONAL METHODS; HYDRODYNAMICS; MOMENTUM; PRESSURE GRADIENT; TURBULENT FLOW; TWO PHASE FLOW; VELOCITY DISTRIBUTION;

EID: 36148937223     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1499     Document Type: Article

References (58)

1. Wilson RV, Carrica PM, Stern F. Unsteady RANS method for ship motions with application to roll for a surface combatant. Computers and Fluids 2006; 35(5):501-524.
2. Carrica PM, Wilson RV, Stern F. An unsteady single-phase level set method for viscous free surface flows. International Journal for Numerical Methods in Fluids 2007; 53:229-256.
3. Reddy KR, Toffoletto R, Jones KRW. Numerical simulation of ship airwakes. Computers and Fluids 2000; 29:451-465.
4. Nangia RK, Lumsden RB. Novel vortex flow devices-columnar vortex generators studies for airwakes. Thirty-fourth AIAA Fluid Dynamics, Portland, OR, U.S.A., 28 June-1 July 2004; 1-18.
5. Syms GF. Numerical simulation of frigate airwakes. International Journal of Computational Fluid Dynamics 2004; 18:199-207.
6. Moat BI, Yelland MJ, Pascal RW, Molland AF. Quantifying the airflow distortion over merchant ships. Part I: Validation of a CFD model. Journal of Atmospheric and Oceanic Technology 2006; 23:341-350.
7. Moat BI, Yelland MJ, Molland AF. Quantifying the airflow distortion over merchant ships. Part II: Application of the model results. Journal of Atmospheric and Oceanic Technology 2006; 23:351-360.
8. Hirt CW, Nichols BD. Volume of fluid (VOF) method for dynamics of free boundaries. Journal of Computational Physics 1981; 39:201-221.
9. Youngs DL. Time-dependent multimaterial flow with large fluid distortion. In Numerical Methods for Fluid Dynamics, Morton K, Baines M (eds). Academic Press: New York, 1982; 273-285.
10. Harvie DJE, Fletcher DF. A new volume of fluid advection algorithm: the stream scheme. Journal of Computational Physics 2000; 162:1-32.
11. Kim MS, Lee WI. A new VOF-based numerical scheme for the simulation of fluid with free surface. Part I: New free surface-tracking algorithm and its verification. International Journal for Numerical Methods in Fluids 2003; 42:765-790.
12. Lopez J, Hernandez J, Gomez P, Faura F. An improved PLIC-VOF method for tracking thin fluid structures in incompressible two-phase flows. Journal of Computational Physics 2005; 208:51-71.
13. Azcueta R, Muzaferija S, Peric M. Computation of breaking bow wave for a very full hull ship. Seventh International Conference on Numerical Ship Hydrodynamics, Nantes, France, 1999.
14. Klemt M. RANSE simulation of ship seakeeping using overlapping grids. Ship Technology Research 2005; 52:65-81.
15. Tryggvason G, Bunner B, Esmaeeli A, Juric D, Al-Rawahi N, Tauber W, Han J, Nas S, Jan YJ. A front-tracking method for the computation of multiphase flows. Journal of Computational Physics 2001; 169:708-759.
16. Jacqmin D. Calculation of two-phase Navier-Stokes flows using phase-field modeling. Journal of Computational Physics 1999; 155:96-127.
17. Rhee SH, Skinner C. Unstructured grid based Navier-Stokes solver for free surface flow around surface ships. In Proceedings of CFD Workshop, Hino T (ed.). National Maritime Research Institute of Japan: Tokyo, Japan, 2005; 504-509.
18. el Moctar O, Schellin TE, Priebe T. CFD and FE methods to predict wave loads and ship structural response. Twenty-sixth Symposium on Naval Hydrodynamics, Rome, Italy, 17-22 September 2006.
19. Osher S, Sethian JA. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics 1988; 79:12-49.
20. Sussman M, Smereka P, Osher S. A level set approach for computing solutions to incompressible two-phase flow. Journal of Computational Physics 1994; 114:146-159.
21. Osher S, Fedkiw R. Level set method: an overview and some recent results. Journal of Computational Physics 2001; 169:463-502.
22. Sethian JA, Smereka P. Level set method for fluid interface. Annual Review of Fluid Mechanics 2003; 35:341-372.
23. 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; 20:1165-1191.
24. Sethian JA. Fast marching methods. SIAM Review 1999; 41:199-235.
25. Enright D, Fedkiw R, Ferziger J, Mitchell I. A hybrid particle level set method for improved interface capturing. Journal of Computational Physics 2002; 183:83-116.
26. Sussman M. A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles. Journal of Computational Physics 2003; 187:110-136.
27. Vogt M, Larsson L. Level set method for predicting viscous free surface flows. Seventh International Conference on Numerical Ship Hydrodynamics, Nantes, France, 1999.
28. Di Mascio A, Broglia R, Muscari R. On the application of the single-phase level set method to naval hydrodynamic flows. Computers and Fluids 2007; 36:868-886.
29. Carrica PM, Wilson RV, Stern F. Unsteady RANS simulation of the ship forward speed diffiaction problem. Computers and Fluids 2006; 35:545-570.
30. Carrica PM, Wilson RV, Stern F. Ship motions using single-phase level set with dynamic overset grids. Computers and Fluids 2007, in press.
31. Wilson RV, Carrica PM, Stern F. Simulation of a ship breaking bow wave and induced vortices and scars. International Journal for Numerical Methods in Fluids 2007. DOI: 10.1002/fld.1406
32. Cura Hochbaum A, Vogt M. Towards the simulation of seakeeping and maneuvering based on the computation of the free surface viscous ship flow. Twenty-fourth ONR Symposium on Naval Hydrodynamics, Fukoka, Japan, 2002.
33. Fedkiw R, Aslam T, Xu S. The ghost fluid method for deflagration and detonation discontinuities. Journal of Computational Physics 1999;
34. Liu XD, Fedkiw R, Kang M. A boundary condition capturing method for Poisson's equation on irregular domains. Journal of Computational Physics 2000; 160:151-178.
35. Kang M, Fedkiw R, Liu XD. A boundary condition capturing method for multiphase incompressible flow. Journal of Scientific Computing 2000; 15:323-360.
36. Liu H, Krishnan S, Marella S, Udaykumar HS. Sharp interface cartesian grid method II: A technique for simulating droplet interactions with surfaces of arbitrary shape. Journal of Computational Physics 2005; 210:32-54.
37. Pijl SP, Segal A, Vuik C, Wesseling P. A mass-conserving level-set method for modelling of multi-phase flows. International Journal for Numerical Methods in Fluids 2005; 47:339-361.
38. Moureau VM, Minot P, Berat C, Pitsch H. A ghost-fluid method for large-eddy simulations of premixed combustion in complex geometries. Annual Research Briefs, Center for Turbulence Research, 2005; 269-282.
39. Shin S. Internal wave computations using the ghost fluid method on unstructured grid. International Journal for Numerical Methods in Fluids 2005; 47:233-251.
40. Zhou YC, Zhao S, Feig M, Wei GW. High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources. Journal of Computational Physics 2006; 213:1-30.
41. Wang WC. A jump condition capturing finite difference scheme for elliptic interface problems. SIAM Journal on Scientific Computing 2004; 25:1479-1496.
42. Thompson JF, Warsi ZUA, Mastin JW. Numerical Grid Generation. North-Holland: Amsterdam, 1985.
43. Menter FR. Two-equation eddy viscosity turbulence models for engineering applications. AJAA Journal 1994; 32:1598-1605.
44. Drew DA, Passman SL. Theory of Multicomponent Fluids. Applied Mathematical Sciences. Springer: New York, 1999; 135.
45. Bell JB, Colella P, Howell LH. An efficient second-order projection method for viscous incompressible flow. Tenth AIAA Computational Fluid Dynamics Conference, Honolulu, June 1991; 24-27.
46. Adalsteinsson D, Sethian JA. The fast construction of extension velocities in level set method. Journal of Computational Physics 1999; 148:2-22.
47. Sethian JA. Numerical methods for propagating interfaces: Hamilton-Jacobi equations and conservation laws. Journal of Differential Geometry 1990; 31:131-161.
48. Sethian JA. A fast marching level set method for monotonically advancing fronts. Proceedings of the National Academy of Sciences, 1996; 93:1591-1595.
49. Cahouet J. Etude numerique er experimentale du probleme bidimensionnel de la resistance de vaques non-lineaire. Ph.D. Thesis, ENSTA, Paris, 1984 (in French).
50. Vogt M. A comparison between moving grid and a level set technique for solving 2D free surface flows. The 1997 ASME Fluids Engineering Division Summer Meeting FEDSM'97, 22-26 June 1997.
51. Iafrati A, Di Mascio A, Campana EF. A level set technique applied to unsteady free surface flows. International Journal for Numerical Methods in Fluids 2001; 35:281-297.
52. Xing T, Kandasamy M, Wilson RV, Stern F. DES and RANS of unsteady free-surface flows. Proceedings of the 42nd AIAA Aerospace Sciences Meeting, Division for Fluid Dynamics, Reno, NV, 2004.
53. Stern F, Huang J, Carrica PM, Yang J, Ghosh S, Van S. Two-phase level set CFD and PIV EFD for plunging breaking waves, including alternative CFD approaches and extensions for air/water ship flow. Twenty-sixth Symposium on Naval Hydrodynamics, Rome, Italy, 17-22 September 2006.
54. Larsson L, Stern F, Bertram V. Benchmarking of computational fluid dynamics for ship flows: the Gothenburg 2000 Workshop. Journal of Ship Research 2003; 47:63-81.
55. Hino T (ed.). In Proceedings of CFD Workshop. National Maritime Research Institute: Tokyo, Japan, 2005.
56. Gui L, Longo J, Stern F. Towing tank PIV measurement system, data and uncertainty assessment for DTMB model 5512. Experiments in Fluids 2001; 31:336-346.
57. Longo J, Stern F. Uncertainty assessment for towing tank tests with example for surface combatant DTMB model 5512. Journal of Ship Research 2005; 49:55-68.
58. Miller R, Gorski J, Wilson RV, Carrica PM. RANS simulation of a naval combatant using a single-phase level set method with overset grids. In Proceedings of CFD Workshop, Hino T (ed.). National Maritime Research Institute of Japan: Tokyo, Japan, 2005; 575-580.