Computational techniques for stabilized edge-based finite element simulation of nonlinear free-surface flows

Journal of Offshore Mechanics and Arctic Engineering

Volumn 131, Issue 4, 2009, Pages 1-7

  Elias, Renato N ^a   Gonçalves Jr , Milton A ^a   Coutinho, Alvaro L G A ^a   Esperança, Paulo T T ^a   Martins, Marcos A D ^b   Ferreira, Marcos D A S ^b  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b PETROBRAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ABSOLUTE VALUES; ADVECTION EQUATIONS; COASTAL AREA; COMPUTATIONAL TECHNIQUE; DISTRIBUTED MEMORY SYSTEMS; EDGE-BASED; EDGE-BASED DATA STRUCTURES; EFFICIENT IMPLEMENTATION; EULERIAN APPROACH; FINITE ELEMENT FORMULATIONS; FINITE ELEMENT SIMULATIONS; FREE SURFACE PROBLEMS; FREE-SURFACE FLOW; FUNCTION EQUATIONS; GALERKIN; GALERKIN FINITE ELEMENT METHODS; HIGHLY NONLINEAR; MASS CONSERVATION; OFF SHORE PLATFORMS; SMALL REGION; SOLITARY WAVE; SOLUTION METHODS; SQUARE CYLINDERS; TWO-FLUID; VOLUME OF FLUID METHOD; WATER IMPACT; WATER SLOSHING;

COASTAL ZONES; DATA FLOW ANALYSIS; DATA STRUCTURES; DRILLING PLATFORMS; FLUIDS; FUEL SLOSHING; FUNCTION EVALUATION; GALERKIN METHODS; INCOMPRESSIBLE FLOW; OFFSHORE STRUCTURES; SHIPS; SOLITONS; WATER TANKS;

FINITE ELEMENT METHOD;

ACCURACY ASSESSMENT; ALGORITHM; COMPUTATIONAL FLUID DYNAMICS; EULERIAN ANALYSIS; FINITE ELEMENT METHOD; FLOW FIELD; FREE SURFACE FLOW; HYDRODYNAMICS; NONLINEARITY; NUMERICAL MODEL; PERFORMANCE ASSESSMENT; SOLITARY WAVE; WAVE BREAKING;

EID: 77954958624     PISSN: 08927219     EISSN: 1528896X     Source Type: Journal    
DOI: 10.1115/1.3124136     Document Type: Article

References (31)

1. Tezduyar, T. E., and Osawa, Y., 2000, "Finite Element Stabilization Parameters Computed From Element Matrices and Vectors," Comput. Methods Appl. Mech. Eng., 190, pp. 411-430.
2. Tezduyar, T. E., Mittal, S., Ray, S. E., and Shih, R., 1992, "Incompressible Flow Computations With Stabilized Bilinear and Linear Equal-Order-Interpolation Velocity-Pressure Elements," Comput. Methods Appl. Mech. Eng., 95, pp. 221-242.
3. Tezduyar, T. E., 2001, "Finite Element Methods for Flow Problems With Moving Boundaries and Interfaces," Arch. Comput. Methods Eng., 8, pp. 83-130.
4. Koshizuka, S., Tamako, H., and Oka, Y., 1995, "A Particle Method for Incompressible Viscous Flow With Fluid Fragmentation," Comput. Fluid Dyn. J., 4, pp. 29-46.
5. Violeau, D., and Issa, R., 2007, "Numerical Modelling of Complex Turbulent Free-Surface Flows With the SPH Method: An Overview," Int. J. Numer. Methods Fluids, 53, pp. 277-304.
6. Del Pin, F., Idelsohn, S., Oñate, E., and Aubry, R., 2007, "The ALE/Lagrangian Particle Finite Element Method: A New Approach to Computation of Free-Surface Flows and Fluid-Object Interactions," Comput. Fluids, 36, pp. 27-38.
7. Takizawa, K., Yabe, T., Tsugawa, Y., Tezduyar, T. E., and Mizoe, H., 2007, "Computation of Free-Surface Flows and Fluid-Object Interactions With the CIP Method Based on Adaptive Meshless Soroban Grids," Comput. Mech., 40, pp. 167-183.
8. Hirt, C. W., and Nichols, B. D., 1981, "Volume of Fluid (VOF) Methods for the Dynamics of Free Boundaries," J. Comput. Phys., 39, pp. 201-225.
9. Tezduyar, T. E., Aliabadi, S., and Behr, M., 1997, "Enhanced-Discretization Interface-Capturing Technique," Proceedings of the ISAC'97 High Performance Computing on Multiphase Flows, Y. Matsumoto and A. Prosperetti, eds., Vol. 1-6.
10. Lohner, R., Yang, C., and Onate, E., 2006, "On the Simulation of Flows With Violent Free-Surface Motion," Comput. Methods Appl. Mech. Eng., 195, pp. 5597-5620.
11. Sethian, J. A., 1999, Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science, Cambridge University Press, Cambridge, UK.
12. Elias, R. N., and Coutinho, A. L. G. A., 2007, "Stabilized Edge-Based Finite Element Simulation of Free-Surface Flows," Int. J. Numer. Methods Fluids, 54, pp. 965-993.
13. Smagorinsky, J., 1963, "General Circulation Experiments With Primitive Equations, Part I: The Basic Experiment," Mon. Weather Rev., 91, pp. 99-152.
14. Galeão, A. C., and do Carmo, E. G. D., 1988, "A Consistent Approximate Upwind Petrov-Galerkin Method for Convection-Dominated Problems," Comput. Methods Appl. Mech. Eng., 68, pp. 83-95.
15. Brooks, A. N., and Hughes, T. J. R., 1982, "Streamline-Upwind/Petrov-Galerkin Formulations for Convection Dominated Flows With Particular Emphasis on the Incompressible Navier-Stokes Equation," Comput. Methods Appl. Mech. Eng., 32, pp. 199-259.
16. Bazilevs, Y., Calo, V M., Tezduyar, T. E., and Hughes, T. J. R., 2007, "YZβ Discontinuity Capturing for Advection-Dominated Processes With Application to Arterial Drug Delivery," Int. J. Numer. Methods Fluids, 54, pp. 593-608.
17. Franca, L. P., and Frey, S. L., 1992, "Stabilized Finite Element Methods: II. The Incompressible Navier-Stokes Equations," Comput. Methods Appl. Mech. Eng., 99, pp. 209-233.
18. Elias, R. N., Martins, M. A. D., and Coutinho, A. L. G. A., 2006, "Parallel Edge-Based Solution of Viscoplastic Flows With the SUPG/PSPG Formulation," Comput. Mech., 38, pp. 365-381.
19. Valli, A. M. P., Carey, G. F., and Coutinho, A. L. G. A., 2005, "Control Strategies for Timestep Selection in FE Simulation of Incompressible Flows and Coupled Reaction-Convection-Diffusion Processes," Int. J. Numer. Methods Fluids, 47, pp. 201-231.
20. Elias, R. N., Coutinho, A. L. G. A., and Martins, M. A. D., 2006, "Inexact Newton-Type Methods for the Solution of Steady Incompressible Viscoplastic Flows With the SUPG/PSPG Finite Element Formulation," Comput. Methods Appl. Mech. Eng., 195, pp. 3145-3167.
21. Coutinho, A. L. G. A., Martins, M. A. D., Sydenstricker, R. M., and Elias, R. N., 2006, "Performance Comparison of Data-Reordering Algorithms for Sparse Matrix-Vector Multiplication in Edge-Based Unstructured Grid Computations," Int. J. Numer. Methods Eng., 66, pp. 431-460.
22. Martins, M. A. D., Elias, R. N., and Coutinho, A. L. G. A., 2007, "EdgePack: A Parallel Vertex and Node Reordering Package for Optimizing Edge-Based Computations in Unstructured Grids," Lect. Notes Comput. Sci., 4395, pp. 292-304.
23. Elias, R. N., Martins, M. A. D., and Coutinho, A. L. G. A., 2005, "Parallel Edge-Based Inexact Newton Solution of Steady Incompressible 3D Navier-Stokes Equations," Lect. Notes Comput. Sci., 3648, pp. 1237-1245.
24. Karypis, G., and Kumar, V., 1998, "METIS, A Software Package for Partitioning Unstructured Graphs, Partitioning Meshes, and Computing Fill-Reducing Orderings of Sparse Matrices," University of Minnesota, Minneapolis, http://glaros.dtc.umn.edu/gkhome/views/metis.
25. Lohner, R., Yang, C., and Onate, E., 2006, "On the Simulation of Flows With Violent Free-Surface Motion," Comput. Methods Appl. Mech. Eng., 195, pp. 5597-5620.
26. Lohner, R., and Camelli, F., 2004, "Dynamic Deactivation for Advection-Dominated Contaminant Transport," Commun. Numer. Methods Eng., 20, pp. 639-646.
27. Radovitzky, R., and Ortiz, M., 1998, "Lagrangian Finite Element Analysis of Newtonian Fluid Flows," Int. J. Numer. Methods Eng., 43, pp. 607-619.
28. Laitone, E. V., 1960, "The Second Approximation to Cnoidal and Solitary Waves," J. Fluid Mech., 9, pp. 430-444.
29. Gómez-Gesteira, M., and Dalrymple, R. A., 2004, "Using a Three-Dimensional Smoothed Particle Hydrodynamics Method for Wave Impact on a Tall Structure," J. Waterway, Port, Coastal, Ocean Eng., 130, pp. 63-69.
30. Wu, T. R., 2004, "A Numerical Study of Three-Dimensional Breaking Waves and Turbulence Effects," Ph.D. thesis, Cornell University, Ithaca, New York.
31. Raad, P., "Mitigation of Local Tsunami Effects," http://engr.smu.edu/waves/project.html.