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Volumn 46, Issue 1, 2010, Pages 185-197

A multiscale stabilized ALE formulation for incompressible flows with moving boundaries

Author keywords

ALE techniques; Incompressible Navier Stokes; Moving boundary flows; Multiscale finite element methods; Stabilized methods

Indexed keywords

FINITE ELEMENT METHOD;

EID: 77951765457     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-010-0487-z     Document Type: Article
Times cited : (66)

References (36)
  • 1
    • 0019607241 scopus 로고
    • Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
    • 0497.76041 10.1016/0045-7825(82)90071-8 679322
    • AN Brooks TJR Hughes 1982 Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations Comput Methods Appl Mech Eng 32 199 259 0497.76041 10.1016/0045-7825(82)90071-8 679322
    • (1982) Comput Methods Appl Mech Eng , vol.32 , pp. 199-259
    • Brooks, A.N.1    Hughes, T.J.R.2
  • 2
    • 0021497923 scopus 로고
    • Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations
    • 0542.76093 10.1016/0045-7825(84)90157-9 759810
    • TJR Hughes TE Tezduyar 1984 Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations Comput Methods Appl Mech Eng 45 217 284 0542.76093 10.1016/0045-7825(84)90157-9 759810
    • (1984) Comput Methods Appl Mech Eng , vol.45 , pp. 217-284
    • Hughes, T.J.R.1    Tezduyar, T.E.2
  • 3
    • 0022810283 scopus 로고
    • New finite element formulation for computational fluid dynamics: v. Circumventing the babuska-brezzi condition: A stable petrov-galerkin formulation of the stokes problem accommodating equal-order interpolations.
    • DOI 10.1016/0045-7825(86)90025-3
    • TJR Hughes LP Franca M Balestra 1986 A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuska-Brezzi condition: a stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations Comput Methods Appl Mech Eng 59 85 99 0622.76077 10.1016/0045-7825(86)90025-3 868143 (Pubitemid 17483742)
    • (1986) Computer Methods in Applied Mechanics and Engineering , vol.59 , Issue.1 , pp. 85-99
    • Hughes Thomas, J.R.1    Franca Leopoldo, P.2    Balestra Marc3
  • 4
    • 45149144830 scopus 로고
    • A new finite element formulation for computational fluid dynamics: VIII. the Galerkin/least-squares method for advective diffusive equations
    • 0697.76100 10.1016/0045-7825(89)90111-4 1002621
    • TJR Hughes LP Franca GM Hulbert 1989 A new finite element formulation for computational fluid dynamics: VIII. The Galerkin/least-squares method for advective diffusive equations Comput Methods Appl Mech Eng 73 2 173 189 0697.76100 10.1016/0045-7825(89)90111-4 1002621
    • (1989) Comput Methods Appl Mech Eng , vol.73 , Issue.2 , pp. 173-189
    • Hughes, T.J.R.1    Franca, L.P.2    Hulbert, G.M.3
  • 5
    • 0029405472 scopus 로고
    • Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
    • 0866.76044 10.1016/0045-7825(95)00844-9
    • TJR Hughes 1995 Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods Comput Methods Appl Mech Eng 127 387 401 0866.76044 10.1016/0045-7825(95)00844-9
    • (1995) Comput Methods Appl Mech Eng , vol.127 , pp. 387-401
    • Hughes, T.J.R.1
  • 6
    • 0032203197 scopus 로고    scopus 로고
    • The variational multiscale method-a paradigm for computational mechanics
    • 1017.65525 10.1016/S0045-7825(98)00079-6
    • TJR Hughes GR Feijoo JB Mazzei Quincy 1998 The variational multiscale method-a paradigm for computational mechanics Comput Methods Appl Mech Eng 166 1-2 3 24 1017.65525 10.1016/S0045-7825(98)00079-6
    • (1998) Comput Methods Appl Mech Eng , vol.166 , Issue.12 , pp. 3-24
    • Hughes, T.J.R.1    Feijoo, G.R.2    Mazzei Quincy, J.B.3
  • 7
    • 30944444184 scopus 로고    scopus 로고
    • Revisiting stabilized finite element methods for the advective-diffusive equation
    • DOI 10.1016/j.cma.2005.05.028, PII S0045782505002951
    • LP Franca G Hauke A Masud 2006 Revisiting stabilized finite element methods for the advective-diffusive equation Comp Methods Appl Mech Eng 195 1560 1572 1122.76054 10.1016/j.cma.2005.05.028 2203981 (Pubitemid 43116263)
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , Issue.13-16 , pp. 1560-1572
    • Franca, L.P.1    Hauke, G.2    Masud, A.3
  • 8
    • 0037200458 scopus 로고    scopus 로고
    • A stabilized mixed finite element method for Darcy flow
    • 1015.76047 10.1016/S0045-7825(02)00371-7 1925889
    • A Masud TJR Hughes 2002 A stabilized mixed finite element method for Darcy flow Comput Methods Appl Mech Eng 191 4341 4370 1015.76047 10.1016/S0045-7825(02)00371-7 1925889
    • (2002) Comput Methods Appl Mech Eng , vol.191 , pp. 4341-4370
    • Masud, A.1    Hughes, T.J.R.2
  • 9
    • 0242415937 scopus 로고    scopus 로고
    • A new stabilized formulation for convective-diffusive heat transfer
    • 10.1080/713836334
    • M Ayub A Masud 2003 A new stabilized formulation for convective-diffusive heat transfer Numer Heat Transf Part B 44 1 23 10.1080/713836334
    • (2003) Numer Heat Transf Part B , vol.44 , pp. 1-23
    • Ayub, M.1    Masud, A.2
  • 10
    • 1842636700 scopus 로고    scopus 로고
    • A multiscale/stabilized finite element method for the advection-diffusion equation
    • DOI 10.1016/j.cma.2003.12.047, PII S0045782504000647
    • A Masud R Khurram 2004 A multiscale/stabilized finite element method for the advection-diffusion equation Comput Methods Appl Mech Eng 193 1997 2018 1067.76570 10.1016/j.cma.2003.12.047 (Pubitemid 38463394)
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , Issue.21-22 , pp. 1997-2018
    • Masud, A.1    Khurram, R.A.2
  • 11
    • 24744432756 scopus 로고    scopus 로고
    • A stabilized mixed finite element method for nearly incompressible elasticity
    • DOI 10.1115/1.1985433
    • A Masud K Xia 2005 A stabilized mixed finite element method for nearly incompressible elasticity J Appl Mech 72 711 720 1111.74548 10.1115/1.1985433 2168197 (Pubitemid 41290701)
    • (2005) Journal of Applied Mechanics, Transactions ASME , vol.72 , Issue.5 , pp. 711-720
    • Masud, A.1    Xia, K.2
  • 12
    • 30944434045 scopus 로고    scopus 로고
    • A multiscale finite element method for the incompressible Navier-Stokes equations
    • DOI 10.1016/j.cma.2005.05.048, PII S0045782505003051
    • A Masud R Khurram 2006 A multiscale finite element method for the incompressible Navier-Stokes equations Comput Methods Appl Mech Eng 195 1750 1777 1178.76233 10.1016/j.cma.2005.05.048 2203991 (Pubitemid 43116273)
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , Issue.13-16 , pp. 1750-1777
    • Masud, A.1    Khurram, R.A.2
  • 14
    • 0028534257 scopus 로고
    • Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces
    • 0848.76036 10.1016/0045-7825(94)00077-8
    • AA Johnson TE Tezduyar 1994 Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces Comput Methods Appl Mech Eng 119 73 94 0848.76036 10.1016/0045-7825(94)00077-8
    • (1994) Comput Methods Appl Mech Eng , vol.119 , pp. 73-94
    • Johnson, A.A.1    Tezduyar, T.E.2
  • 15
    • 0032666655 scopus 로고    scopus 로고
    • Advanced mesh generation and update methods for 3D flow simulations
    • 0949.76049 10.1007/s004660050393
    • AA Johnson TE Tezduyar 1999 Advanced mesh generation and update methods for 3D flow simulations Comput Mech 23 130 143 0949.76049 10.1007/s004660050393
    • (1999) Comput Mech , vol.23 , pp. 130-143
    • Johnson, A.A.1    Tezduyar, T.E.2
  • 16
    • 0031554613 scopus 로고    scopus 로고
    • A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems
    • DOI 10.1016/S0045-7825(96)01222-4
    • A Masud TJR Hughes 1997 A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems Comput Methods Appl Mech Eng 146 91 126 0899.76259 10.1016/S0045-7825(96)01222-4 1453437 (Pubitemid 27405516)
    • (1997) Computer Methods in Applied Mechanics and Engineering , vol.146 , Issue.1-2 , pp. 91-126
    • Masud, A.1    Hughes, T.J.R.2
  • 17
    • 33745638769 scopus 로고    scopus 로고
    • Effects of mesh motion on the stability and convergence of ALE based formulations for moving boundary flows
    • DOI 10.1007/s00466-006-0062-9
    • A Masud 2006 Effects of mesh motion on the stability and convergence of ALE based formulations for moving boundary flows Comput Mech 38 430 439 1173.76024 10.1007/s00466-006-0062-9 2246131 (Pubitemid 43967451)
    • (2006) Computational Mechanics , vol.38 , Issue.4-5 , pp. 430-439
    • Masud, A.1
  • 19
    • 0018985038 scopus 로고
    • Quasi-Eulerian finite element formulation for fluid-structure interaction
    • 10.1115/1.3263303
    • T Belytschko JM Kennedy DF Schoeberie 1980 Quasi-Eulerian finite element formulation for fluid-structure interaction ASME J Pressure Vessel Technol 102 62 69 10.1115/1.3263303
    • (1980) ASME J Pressure Vessel Technol , vol.102 , pp. 62-69
    • Belytschko, T.1    Kennedy, J.M.2    Schoeberie, D.F.3
  • 20
    • 0026820445 scopus 로고
    • 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
    • 0745.76044 10.1016/0045-7825(92)90059-S 1153059
    • TE Tezduyar M Behr J Liou 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 0745.76044 10.1016/0045-7825(92)90059-S 1153059
    • (1992) Comput Methods Appl Mech Eng , vol.94 , pp. 339-351
    • Tezduyar, T.E.1    Behr, M.2    Liou, J.3
  • 21
    • 0026821471 scopus 로고
    • 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
    • 0745.76045 10.1016/0045-7825(92)90060-W 1153060
    • TE Tezduyar M Behr S Mittal J Liou 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 0745.76045 10.1016/0045-7825(92)90060-W 1153060
    • (1992) Comput Methods Appl Mech Eng , vol.94 , pp. 353-371
    • Tezduyar, T.E.1    Behr, M.2    Mittal, S.3    Liou, J.4
  • 22
    • 0030199447 scopus 로고    scopus 로고
    • Geometric conservation laws for flow problems with moving boundaries and deformable meshes, and their impact on aeroelastic computations
    • DOI 10.1016/0045-7825(96)01028-6
    • M Lesoinne C Farhat 1996 Geometric conservation laws for flow problems with moving boundaries and deformable meshes, and their impact on aeroelastic computations Comput Methods Appl Mech Eng 134 1-2 71 90 0896.76044 10.1016/0045-7825(96)01028-6 (Pubitemid 26416243)
    • (1996) Computer Methods in Applied Mechanics and Engineering , vol.134 , Issue.1-2 , pp. 71-90
    • Lesoinne, M.1    Farhat, C.2
  • 23
    • 33645073927 scopus 로고    scopus 로고
    • Finite calculus formulations for finite element analysis of incompressible flows. Eulerian, ALE and Lagrangian approaches
    • E Oñate J Garcia SR Idelsohn F Del Pin 2004 Finite calculus formulations for finite element analysis of incompressible flows. Eulerian, ALE and Lagrangian approaches Comput Methods Appl Mech Eng 195 23-24 3001 3037
    • (2004) Comput Methods Appl Mech Eng , vol.195 , Issue.2324 , pp. 3001-3037
    • Oñate, E.1    Garcia, J.2    Idelsohn, S.R.3    De Pin, F.4
  • 24
    • 4444311231 scopus 로고    scopus 로고
    • Design and analysis of robust ALE time-integrators for the solution of unsteady flow problems on moving grids
    • DOI 10.1016/j.cma.2003.09.027, PII S0045782504002130
    • C Farhat P Geuzaine 2004 Design and analysis of robust ALE time-integrators for the solution of unsteady flow problems on moving grids Comput Methods Appl Mech Eng 193 39-41 4073 4095 1068.76063 10.1016/j.cma.2003. 09.027 2087005 (Pubitemid 39182514)
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , Issue.39-41 SPEC. ISS. , pp. 4073-4095
    • Farhat, C.1    Geuzaine, P.2
  • 25
    • 33745648512 scopus 로고    scopus 로고
    • A multiscale/stabilized formulation of the incompressible Navier-Stokes equations for moving boundary flows and fluid-structure interaction
    • DOI 10.1007/s00466-006-0059-4
    • R Khurram A Masud 2006 A multiscale/stabilized formulation of the incompressible Navier-Stokes equations for moving boundary flows and fluid-structure interaction Comput Mech 38 4-5 403 416 05552285 10.1007/s00466-006-0059-4 (Pubitemid 43967449)
    • (2006) Computational Mechanics , vol.38 , Issue.4-5 , pp. 403-416
    • Khurram, R.A.1    Masud, A.2
  • 26
    • 67349090034 scopus 로고    scopus 로고
    • A variational multiscale stabilized formulation for the incompressible Navier-Stokes equations
    • 1165.76027 10.1007/s00466-008-0362-3 2507800
    • A Masud R Calderer 2009 A variational multiscale stabilized formulation for the incompressible Navier-Stokes equations Comput Mech 44 145 160 1165.76027 10.1007/s00466-008-0362-3 2507800
    • (2009) Comput Mech , vol.44 , pp. 145-160
    • Masud, A.1    Calderer, R.2
  • 27
    • 33750979033 scopus 로고    scopus 로고
    • An adaptive mesh rezoning scheme for moving boundary flows and fluid-structure interaction
    • DOI 10.1016/j.compfluid.2005.07.013, PII S0045793005001301, Challenges and Advances in Flow Simulation and Modeling
    • A Masud M Bhanabhagvanwala R Khurram 2007 An adaptive mesh rezoning scheme for moving boundary flows and fluid- structure interaction Comput Fluids 36 77 91 1181.76108 10.1016/j.compfluid.2005.07.013 2273855 (Pubitemid 44739664)
    • (2007) Computers and Fluids , vol.36 , Issue.1 , pp. 77-91
    • Masud, A.1    Bhanabhagvanwala, M.2    Khurram, R.A.3
  • 29
    • 44749090827 scopus 로고    scopus 로고
    • A hierarchical multiscale framework for problems with multiscale source terms
    • 10.1016/j.cma.2007.12.024 2427087
    • A Masud LP Franca 2008 A hierarchical multiscale framework for problems with multiscale source terms Comput Methods Appl Mech Eng 197 2692 2700 10.1016/j.cma.2007.12.024 2427087
    • (2008) Comput Methods Appl Mech Eng , vol.197 , pp. 2692-2700
    • Masud, A.1    Franca, L.P.2
  • 30
    • 48549094386 scopus 로고    scopus 로고
    • A stabilized mixed finite element method for the first-order form of convection-diffusion equation
    • 1140.76366 10.1002/fld.1842 2435095
    • A Masud J Kwack 2008 A stabilized mixed finite element method for the first-order form of convection-diffusion equation Int J Numer Methods Fluids 57 1321 1348 1140.76366 10.1002/fld.1842 2435095
    • (2008) Int J Numer Methods Fluids , vol.57 , pp. 1321-1348
    • Masud, A.1    Kwack, J.2
  • 31
    • 35348895586 scopus 로고    scopus 로고
    • Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
    • DOI 10.1016/j.cma.2007.07.016, PII S0045782507003027
    • Y Bazilevs VM Calo JA Cottrell TJR Hughes A Reali G Scovazzi 2007 Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows Comput Methods Appl Mech Eng 197 173 201 1169.76352 10.1016/j.cma.2007.07.016 2361475 (Pubitemid 47576934)
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.197 , Issue.1-4 , pp. 173-201
    • Bazilevs, Y.1    Calo, V.M.2    Cottrell, J.A.3    Hughes, T.J.R.4    Reali, A.5    Scovazzi, G.6
  • 32
    • 0029310926 scopus 로고
    • Incompressible flow past a circular cylinder: Dependence of the computed flow field on the location of the lateral boundaries
    • 10.1016/0045-7825(94)00736-7
    • M Behr D Hastreiter S Mittal TE Tezduyar 1995 Incompressible flow past a circular cylinder: dependence of the computed flow field on the location of the lateral boundaries Methods Appl Mech Eng 123 309 316 10.1016/0045-7825(94)00736- 7
    • (1995) Methods Appl Mech Eng , vol.123 , pp. 309-316
    • Behr, M.1    Hastreiter, D.2    Mittal, S.3    Tezduyar, T.E.4
  • 33
    • 0031926098 scopus 로고    scopus 로고
    • A comparative study of different sets of variables for solving compressible and incompressible flows
    • DOI 10.1016/S0045-7825(97)00043-1
    • G Hauke TJR Hughes 1998 A comparative study of different sets of variables for solving compressible and incompressible flows Comput Methods Appl Mech Eng 153 1 44 0957.76028 10.1016/S0045-7825(97)00043-1 1606105 (Pubitemid 28161649)
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.153 , Issue.1-2 , pp. 1-44
    • Hauke, G.1    Hughes, T.J.R.2
  • 34
    • 0026947453 scopus 로고
    • A finite element study of incompressible flows past oscillating cylinders and airfoils
    • 10.1002/fld.1650150911
    • S Mittal TE Tezduyar 1992 A finite element study of incompressible flows past oscillating cylinders and airfoils Int J Numer Methods Fluids 15 1073 1118 10.1002/fld.1650150911
    • (1992) Int J Numer Methods Fluids , vol.15 , pp. 1073-1118
    • Mittal, S.1    Tezduyar, T.E.2
  • 36
    • 0031220459 scopus 로고    scopus 로고
    • Parallel 3D computation of unsteady flows around circular cylinders
    • 0914.76052 10.1016/S0167-8191(97)00050-1 1488214
    • V Kalro TE Tezduyar 1997 Parallel 3D computation of unsteady flows around circular cylinders Parallel Comput. 23 1235 1248 0914.76052 10.1016/S0167-8191(97)00050-1 1488214
    • (1997) Parallel Comput. , vol.23 , pp. 1235-1248
    • Kalro, V.1    Tezduyar, T.E.2


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