Calculation of plunging breakers with a fully-implicit adaptive-grid method

29th AIAA Fluid Dynamics Conference

Volumn , Issue , 1998, Pages 1-13

  Liou, Biing Horng ^a,c   Martinelli, Luigi ^a   Baker, Timothy J ^a   Jameson, Antony ^b  

^a Princeton University   (United States)

^b Department of Aeronautics and Astronautics Department of Mechanical Engineering and Industrial for Computational and Mathematical Engineering   (United States)

^c UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS;

ADAPTIVE-GRID METHOD; ARTIFICIAL COMPRESSIBILITY APPROACH; CONTINUITY EQUATIONS; CONVERGENCE ACCELERATION; EULERIAN DESCRIPTION; INCOMPRESSIBLE EULER EQUATIONS; NUMERICAL SOLUTION; PLUNGING BREAKERS;

FLUID DYNAMICS;

EID: 84959353565     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1998-2969     Document Type: Conference Paper

References (44)

1. Baker, G.R., Meiron, D. I. and Orszag, S. A. J. of Fluid Mechanics, vol 123, pp. 477, 1982.
2. Baker, T.J., “Three Dimensional Mesh Generation by Triangulation of Arbitrary Point Sets,” AIAA 8th CFD conference, pp. 255-270, 1987.
3. Baker, T. J., “Automatic Mesh Generation for Complex Three-Dimensional Regions Using a Constrained Delaunay Triangulation,” Engineering with Computers, Vol. 5, pp. 161-175, 1989.
4. Baker, T. J., “Triarigulations, Mesh Generation and Point Placement Strageties,” Frontiers of Computational Fluid Dynamics 1994, John Wiley, pp. 61-75, 1994.
5. Belov, A., Martinelli, L., and Jameson, A., “A Novel Fully Implicit Multigrid Driven Algorithm for Unsteady Incompressible Flow Calculations,” to be presented at the Second European Computational Fluid Dynamics Conference, Stuttgart, Germany, September 1994.
6. Belov, A., Martinelli, L., and Jameson, A., “A New Implicit Algorithm with Multigrid for Unsteady Incompressible Flow Calculations,” AIAA Paper 95-0049, AIAA 33rd Aerospace Sciences Meeting, Reno, Nevada, January 1995
7. Bowyer, A., “Computing Dirichlet Tesselation,” the Computer Journal, vol. 24, no. 2, 162-166, 1981.
8. Chorin, A. J., “A Numerical Method for Solving Incompressible Viscous Flow Problems,” Journal of Computational Physics, Vol. 2, pp. 12-26, 1967.
9. Dole, J.W., “An efficient Surface-Integral Algorithm Applied to Unsteady Gravity Waves,” Journal of Computational Physics, Vol. 103, pp. 90-115, 1992.
10. Dommermuth, G.D., Yue, D.K.P., et al, “Deep- Water Plunging Breakers: A Comparison Between Potential Theory and Experiments,” Journal of Fluid Mechanics, Vol. 189, pp. 423-442, 1988.
11. Dreyer, J. J., Finite Volume Solutions to the Steady Incompressible Euler Equations on Unstructured Triangular Meshes, Master’s Thesis, Department of Mechanical and Aerospace Engineering, Princeton University, June 1990.
12. Farmer, A., Martinelli, L., and Jameson, A., “A Fast Multigrid Method for Solving Incompressible Hydrodynamic Problems with Free surfaces,” AIAA Paper 93-0767, AIAA 31rd Aerospace Sciences Meeting, Reno, Nevada, January 1993.
13. Harlow, F. H. and Welch, J. E., “Numerical Calculation of Time Dependent Viscous Incompressible Flow of Fluid with Free Surface”, Physics of Fluids, vol. 8, pp. 2182-2189, 1965.
14. Haussling, H.J. and Van Eseltine, R.T., “Finite- Difference Methods for Transient Potential Flow with Free Surface,” 1st International Conference on Numerical Ship Hydrodynamics, pp.295-313, 1975.
15. Fedorenko, R.P., “The Speed Convergence of One Iterative Process,” Journal of Computational Physics, Vol. 39, pp. 201-225,1981.
16. Hirt, C.W. and Nichols, B.D., “Volume of Fluid (VOF) Method For the Dynamics of Free Boundaries,” Journal of Computational Physics, Vol. 39, pp. 201-225,1981.
17. Hino, T., Martinelli, L., and Jameson, A., “A Finite-Volume Method with Unstructured Grid for Free Surface Flow Simulations,” Sixth International Conference on Numerical Ship Hydrodynamics, Ship Research Institute, Tokyo, Japan, August 1993.
18. Israeli, M. and Orszag, S.A., “Approximation of Radition Boundary Conditions,” Journal of Computational Physics, Vol. 41, pp. 115-135, 1981.
19. Jameson, A. and Caughey, D. E., “A finite volume method for transonic potential calculations,” Proc. AIAA Third Computational Fluid Dynamics Conference, Albuquerque, 1977, 33-54.
20. Jameson, A., “Time Dependent Calculations Using Multigrid, with Applications to Unsteady Flows Past Airfoils and Wings,” AIAA Paper 91- 1596, June 1991.
21. Jameson, A., “Multigrid Algorithms for Compressible Flow Calculations,” MAE Report 1743, October 1985, also in the Proceedings of the Second European Conference on Multigrid Methods, in Lecture Notes in Mathematics, Vol. 1228, edited by Trottenburg, U., and Hackbusch, W., Springer- Verlag, pp. 166-201, 1986.
22. Lawson, C. L., “Transforming Triangulations,” Discrete Math, vol. 3, 365-372, 1972.
23. Lin, P.T., Implicit Time Dependent Calculations for Compressible and Incompressible Flows on Unstructured Meshes, Master Thesis, Department of Mechanical and Aerospace Engineering, Princeton University, 1994.
24. Liou, B.-H., Martinelli, L., and Jameson, A., “A Fully-Implicit Multigrid Driven Algorithm for Computing Time-Resolved Non-linear Free- Surface Flow on Unstructured Grids,” Proceedings of the ASME Fluid Engineering Summer Meeting (1996), vol. 3, pp. 349-354.
25. Lo, S. H., “A New Mesh generation Scheme for Arbitrary Planar Domains,” Int. J. Nuiner. Methods Engrg, 21 1403-1426, 1985.
26. Longuet-Higgins, M. S. and Cokelet, E.D., “The Deformation of Deep Surface Waves on Water. I. A Numerical Method of Computation,” Proc. R. Soc. Lond. A 350, 1-26, 1976.
27. Lohner, R “An Adaptive Finite Element Solver For Transient Problems With Moving Bodies,” Computers and Structures, vol. 30, pp303-317, 1988.
28. Löhner, R., “Adaptive Remeshing For Transient Problems,” Computer Methods In Applied Mechanics and Engineering, vol. 75, pp. 195-214, 1989.
29. Löhner, R. and Parish, P., “Generation of Three -Dimensional Unstructured Grids by The Advancing Front Methods,” Int. J. Numer. Methods in Fluids, 8, 1135-1149, 1988.
30. Löhner, R., Morgan, K, Peraire, J, and Vahdati, M., “Finite Element Flux-Corrected Transport(FEMFCT) for Euler and Navier-Stokes Equations,” Int. J. Numer. Methods in Fluids, 7, 1093-1109, 1987.
31. Martinelli, L., Calculations of Viscous Flow with a Multigrid Method, Ph.D. Dissertation, Department of Mechanical and Aerospace Engineering, Princeton University, 1987.
32. Mavriplis, D., Solution of the Two-Dimensional Euler Equations on Unstructured Triangular Meshes, Ph.D. Dissertation, Department of Mechanical and Aerospace Engineering, Princeton University, 1987.
33. Melson, N. D., Sanetrik, M. D., and Atkins, H. L., “Time-Accurate Navier-Stokes Calculations with Multigrid Acceleration,” Presented at the Sixth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado, April 1993.
34. Mortenson, M. E., Geometric Modeling, New York, Wiley and Sons, 1985.
35. Peraire, J, Peiro, J., Formaggia, L., Morgan, K., and Zienkiewicz, O. C., “Finite Element Euler Computation in Three Dimensions,” Int. J. Numer. Methods in Engrg., 26, 1988.
36. Mitty, T. J., Development of a Delaunay-Based Adaption Scheme with Applications to Complex Three-Dimensional Rotational Flows, Ph.D. Thesis, Department of Mechanical and Aerospace Engineering, Princeton University, January 1993.
37. Miyaka, T., Sakamoto, Y., Tokunaga, H., and Satofuka, N., “Numerical Solution of Incompressible Flow Using Two-Step, One-Stage Runge- Kutta Time Intergration Scheme,” Presented at the 1st European Computational Fluid Dynamics Conference, Brussels, Belgium, 7-11, September, 1992.
38. Osher, S. and Sethian, J. A., “Fronts Propagating With Curvature Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulation.,” Journal of Computational Physics, Vol. 79, pp. 12, 1988.
39. Rizzi, A. and Eriksson, L., “Computation of Inviscid Incompressible Flow with Rotation,” Journal of Fluid Mechanics, Vol. 153, pp. 275-312, 1985.
40. Rebay, S., “Efficient Unstructured Mesh generation by Means of Delaunay Triangulation and Bowyer-Watson Algorithm,” Journal of Computational physics, Vol. 106, 125-138, 1993.
41. Vinje, T. and Brevig, P., Adv. Water Resour., 4, 77, 1981.
42. Watson, D. F., “Computing the n-Dimensional Tessellation with Application to Voronoi Polytopes,” the Computer Journal, vol. 24, no. 2, 167-172, 1981.
43. Welch, J. E., Hawlow, F.H., Shannon, J. P. and Daly, B.J., “The MAC Method: A Computing Technique For Solving Viscous, Incompressible, Transient Fluid Flow Problems Involving Free Surfaces,” Los Alamos Scientific Laboratory Report, LA-3425, 1965.
44. Williams, G. P., “Numerical Integration of the Three-Dimensional Navier-Stokes Equations for Incompressible Flow,” Journal of Fluid Mechanics, vol. 37, part 4, 727-750.