Residual-based variational multiscale simulation of free surface flows

Computational Mechanics

Volumn 46, Issue 4, 2010, Pages 545-557

  Lins, Erb F ^a   Elias, Renato N ^b   Rochinha, Fernando A ^c   Coutinho, Alvaro L G A ^c  

^a FEDERAL UNIVERSITY OF PARÁ   (Brazil)

^b FEDERAL RURAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^c FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

Edge based computations; Free surface flows; Variational multiscale method; Volume of fluid

Indexed keywords

COMPUTATIONAL EFFICIENCY; NAVIER STOKES EQUATIONS; PARALLEL PROGRAMMING; VELOCITY;

ADAPTIVE TIME-STEP CONTROL; EDGE-BASED; EDGE-BASED DATA STRUCTURES; FINITE ELEMENT FORMULATIONS; FREE-SURFACE FLOW; PARALLEL PROGRAMMING PARADIGMS; VARIATIONAL MULTISCALE METHODS; VOLUME OF FLUIDS;

LARGE EDDY SIMULATION;

EID: 77954957667     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-010-0495-z     Document Type: Article

References (61)

1. Tezduyar TE (1999) CFD methods for three-dimensional computation of complex flow problems. J Wind Eng Ind Aerodyn 81:97-116
2. Tezduyar TE (2003) Computation ofmoving boundaries and interfaces and stabilization parameters. Int J Numer Methods Fluids 43:555-575
3. Tezduyar TE, Behr M, Liou J (1992) A new strategy for finite element computations involving moving boundaries and interfaces - The deforming-spatial-domain/space-time procedure: I. The concept and the preliminary numerical tests. Comput Methods Appl Mech Eng 94:339-351
4. Tezduyar TE, Behr M, Mittal S, Liou J (1992) A new strategy for finite element computations involving moving boundaries and interfaces - The deforming-spatial-domain/space-time procedure: II. Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders. Comput Methods Appl Mech Eng 94:353-371
5. Koshizuka S, Tamako H, Oka Y (1995) A particle method for incompressible viscous flow with fluid fragmentation. Comput Fluid Mech J 113:134-147
6. Violeau D, Issa R (2007) Numerical modelling of complex turbulent free-surface flows with the SPH method: an overview. Int J Numer Methods Fluids 53:277-304
7. Larese A, Rossi R, Onate E, Idelsohn SR (2008) Validation of the particle finite element method (PFEM) for simulation of free surface flows. Eng Comput: Int J Computer-Aided Eng Softw 25(4):385-425
8. Takizawa K, Yabe T, Tsugawa Y, Tezduyar TE, 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(1):167-183 (Pubitemid 46723553)
9. Takizawa K, Tanizawa K, Yabe T, Tezduyar TE (2007) Ship hydrodynamics computations with the CIP method based on adaptive Soroban grids. Int J Numer Methods Fluids 54:1011-1019
10. Hirt CW, Nichols BD (1981) Volume of fluid (VOF) methods for the dynamics of free boundaries. J Comput Phys 39:201-225
11. Tezduyar T, Aliabadi S, Behr M (1998) Enhanced-discretization interface-capturing technique (EDICT) for computation of unsteady flows with interfaces. Comput Methods Appl Mech Eng 155:235-248
12. Lohner R, Yang C, Onate E (2006) On the simulation of flows with violent free-surface motion. Comput Methods Appl Mech Eng 195:5597-5620 (Pubitemid 43964468)
13. Sethian JA (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
14. Osher SJ, Fedkiw RP (2002) Level set methods and dynamic implicit surfaces. Springer
15. Nagrath S, Jansen KE, Lahey RT Jr (2005) Computation of incompressible bubble dynamics with a stabilized finite element level set method. Comput Methods Appl Mech Eng 194:4565-4587
16. Shepel SV, Smith BL (2006) New finite-element/finite-volume level set formulation for modelling two-phase incompressible flows. J Comput Phys 218:479-494
17. Brooks AN, Hughes TJR (1982) Streamline-upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equation. Comput Methods Appl Mech Eng 32:199-259
18. Coppola-Owen AH, Codina R (2005) Improving Eulerian two-phase flow finite element approximation with discontinuous gradient pressure shape functions. Int J Numer Methods Fluids 49:1278-1304
19. Coppola-Owen AH, Codina R (2007) A finite element model for free surface flows on fixed meshes. Int J Numer Methods Fluids 54:1151-1171
20. Elias RN, Coutinho ALGA (2007) Stabilized edge-based finite element simulation of free-surface flows. Int J Numer Methods Fluids 54:965-993
21. Tezduyar TE (1992) Stabilized finite element formulations for incompressible flow computations. Adv Appl Mech 28:1-44
22. Tezduyar TE, Mittal S, Ray SE, Shih R (1992) Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements. Comput Methods Appl Mech Eng 95:221-242
23. Cruchaga M, Celentano D, Tezduyar TE (2001) A moving Lagrangian interface technique for flow computations over fixed meshes. Comput Methods Appl Mech Eng 191:525-543
24. Lohner R, Camelli F (2004) Dynamic deactivation for advectiondominated contaminant transport. Commun Methods Eng 20:639-646
25. Elias RN, Gonçalves MA Jr, Coutinho ALGA, Esperança PTT, Martins MAD, Ferreira MDAS (2009) Computational Techniques for Stabilized Edge-Based Finite Element Simulation of Nonlinear Free-Surface Flows. J Offshore Mech Arct Eng, ASME 131:041103-1-041103-7
26. Sagaut P, Deck S, Terracol M (2006) Multiscale and multiresolution approaches in turbulence. Imperial College Press, London
27. Hughes TJR (1995) Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized method. Comput Methods Appl Mech Eng 127:387-401
28. Hughes TJR, Feijoo GR, Mazzei L, Quincy J-B (1998) The variationalmultiscalemethoda paradigm for computationalmechanics. Comput Methods Appl Mech Eng 166:3-24
29. Hughes TJR, Scovazzi G, Franca LP (2004) Multiscale and stabilized methods. In: Stein E, de Borst R, Hughes TJR (eds) Encyclopedia of computational mechanics. Wiley, Chichester
30. Calo VM (2004) Residual-based multiscale turbulence modeling: finite volume simulations of bypass transition, PhD Thesis, Stanford University
31. Gravemeier V (2006) The variational multiscale method for laminar and turbulent flow. Arch Comput Methods Eng 13(2):249-324
32. Masud A, Calderer R (2009) A variational multiscale stabilized formulation for the incompressible Navier-Stokes equations. Comput Mech 44(2):145-160
33. Akin JE, Tezduyar TE, Ungor M, Mittal S (2003) Stabilization parameters and Smagorinsky turbulence model. J Appl Mech 70:2-9
34. Hoffman J, Johnson C (2006) A new approach to computational turbulence modeling. Comput Methods Appl Mech Eng 195:2865-2880
35. Rispoli F, Corsini A, Tezduyar TE (2007) Finite element computation of turbulent flows with the discontinuity-capturing directional dissipation (DCDD). Comput Fluids 36:121-126
36. Tejada-Martinez AE, Jansen KE (2005) Onthe interaction between dynamic model dissipation and numerical dissipation due to streamline upwind/Petrov-Galerkin stabilization. Comput Methods Appl Mech Eng 194:1225-1248
37. de Sampaio PAB, Hallak PH, Coutinho ALGA, Pfeil MS (2004) A stabilized finite element procedure for turbulent fluid-structure interaction using adaptive time-space refinement. Int J Numer Methods Fluids 44:673-693
38. de Sampaio PAB, Junior MAG, Lapa CMF (2008) A cfd approach to the atmospheric dispersion of radionuclides in the vicinity of npps. Nucl Eng Des 238(1):250-273
39. Elias RN, Paraizo PLB, Coutinho ALGA (2008) Stabilized edge-based finite element computation of gravity currents in lockexchange configurations. Int JNumer Methods Fluids 57(9):1137-1152
40. Bazilevs Y, Calo VM, Cottrell JA, Hughes TJR, Reali A, Scovazzi G (2007) Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows. Comput Methods Appl Mech Eng 197:173-201
41. Gravemeier V, Lenz S, Wall WA (2007) Variational multiscale methods for incompressible flows. Int J Comput Sci Math 1:444-466
42. Akkerman I, Bazilevs Y, Calo VM, Hughes TJR, Hulshoff S (2008) The role of continuity in residual-based variational multiscale modeling of turbulence. Comput Mech 41(3):371-378
43. Guasch O, Codina R (2007) A heuristic argument for the sole use of numerical stabilization with no physical les modeling in the simulation of incompressible turbulent flows. Submitted
44. Codina R, Principe J, Guasch O, Badia S (2007) Time dependent subscales in the stabilized finite element approximation of incompressible flow problems. Comput Methods Appl Mech Eng 196:2413-2430
45. Gamnitzer P, Gravemeier V, Wall WA (2010) Time-dependent subgrid scales in residual-based large eddy simulation of turbulent channel flow. Comput Methods Appl Mech Eng 199:819-827
46. Gravemeier V, Gee MW, Kronbichler M, Wall WA (2010) An Algebraic Variational Multiscale-Multigrid method for large eddy simulation of turbulent flow. Comput Methods Appl Mech Eng 199 (13-16): 853-864
47. Lins EF, Elias RN, Guerra GM, Rochinha FA, Coutinho ALGA (2009) Edge-based finite element implementation of the residual-based variationalmultiscalemethod. Int J Numer Methods Fluids 61:1-22
48. Tezduyar TE, Osawa Y (2000) Finite element stabilization parameters computed from element matrices and vectors. Comput Methods Appl Mech Eng 190:411-430
49. Hsu MC, Bazilevs Y, Calo VM, Tezduyar TE, Hughes TJR (2010) Improving stability of stabilized andmultiscale formulations in flow simulations at small time steps. Comput Methods Appl Mech Eng 199:828-840
50. Valli AMP, Carey GF, Coutinho ALGA (2005) Control strategies for timestep selection in FE simulation of incompressible flows and coupled reaction-convection-diffusion processes. Int J Numer Methods Fluids 47:201-231
51. Valli AMP, Elias RN, Carey GF, Coutinho ALGA (2009) PID adaptive control of incremental and arclength continuation in nonlinear applications. Int J Numerical Methods in Fluids 61:1181-1200
52. Cruchaga MA, Celentano DJ, Tezduyar TE (2002) Computation of mould filling processes with a moving Lagrangian interface technique. Commun Numer Methods Eng 18:483-493
53. Martin JC, Moyce WJ (1952) An experimental study of the collapse of liquid columns on a rigid horizontal plane. Phil Trans R Soc Lond, Ser A 244:312-324
54. Greaves DM (2005) Simulation of viscous water column collapse using adapting hierarchical grids. Int J Numer Methods Fluids 50(6):693-711
55. Cruchaga MA, Celentano DJ, Tezduyar TE (2005) Moving-interface computations with the edge-tracked interface locator technique (ETILT). Int J Numer Methods Fluids 47:451-469
56. Elias RN, Coutinho ALGA, Martins MAD (2006) Inexact Newtontype methods for the solution of steady incompressible viscoplastic flows with the SUPG/PSPG finite element formulation. Comput Methods Appl Mech Eng 195:3145-3167
57. Elias RN, Martins MAD, Coutinho ALGA (2005) Parallel edgebased inexact Newton solution of steady incompressible 3D Navier-Stokes equations. Lecture notes in computer science, vol 3648. Springer, Berlin, pp 1237-1245
58. Paraview, http://www.paraview.org/, last visited: 02/02/2010
59. Kleefsman KMT, Fekken G, Veldman AEP, Iwanowski B, Buchner B (2005) A volume-of-fluid based simulation method for wave impact problems. J Comput Phys 206:363-393
60. Kleefsman KMT (2005) Water impact loading on offshore structures: a numerical study. Ph. D. Thesis, University of Groningen, Groningen
61. SPH European Research Interest Community (2010) http://wiki. manchester.ac.uk/spheric/index.php/SPHERIC-Home-Page, visited February 9th