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Volumn 190, Issue 8-10, 2000, Pages 865-888

Finite elements and object-oriented implementation techniques in computational fluid dynamics

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; OBJECT ORIENTED PROGRAMMING; TURBULENT FLOW; TWO PHASE FLOW; VISCOUS FLOW;

EID: 0034310562     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(99)00450-8     Document Type: Article
Times cited : (9)

References (56)
  • 1
    • 0023800335 scopus 로고
    • Drichlet and Neumann boundary conditions for the pressure Poisson equation of incompressible flow
    • S. Abdallah, J. Dreyer, Drichlet and Neumann boundary conditions for the pressure Poisson equation of incompressible flow, Int. J. Num. Methods Fluids 8 (1988) 1029-1036.
    • (1988) Int. J. Num. Methods Fluids , vol.8 , pp. 1029-1036
    • Abdallah, S.1    Dreyer, J.2
  • 2
    • 0000310338 scopus 로고    scopus 로고
    • A numerical method for the incompressible Navier-Stokes equations based on an approximate projection
    • A.S. Almgren, J.B. Bell, W.G. Szymczak, A numerical method for the incompressible Navier-Stokes equations based on an approximate projection, SIAM J. Sci. Comput. 17 (2) (1996) 358-369.
    • (1996) SIAM J. Sci. Comput. , vol.17 , Issue.2 , pp. 358-369
    • Almgren, A.S.1    Bell, J.B.2    Szymczak, W.G.3
  • 7
    • 0029392092 scopus 로고
    • Permeability for cross flow through columnar-dendritic alloys
    • M.S. Bhat, D.R. Poirier, J.C. Heinrich, Permeability for cross flow through columnar-dendritic alloys, Metal. Mater. Trans. B (1995) 1049-1056.
    • (1995) Metal. Mater. Trans. B , pp. 1049-1056
    • Bhat, M.S.1    Poirier, D.R.2    Heinrich, J.C.3
  • 8
    • 0006443986 scopus 로고    scopus 로고
    • Increasing the reliability and efficiency of numerical software development
    • E. Arge, A.M. Bruaset, H.P. Langtangen (Eds.), Birkhäuser, Basel
    • A.M. Bruaset, E.J. Holm, H.P. Langtangen, Increasing the reliability and efficiency of numerical software development, in: E. Arge, A.M. Bruaset, H.P. Langtangen (Eds.), Modern Software Tools for Scientific Computing, Birkhäuser, Basel, 1997.
    • (1997) Modern Software Tools for Scientific Computing
    • Bruaset, A.M.1    Holm, E.J.2    Langtangen, H.P.3
  • 9
    • 0002057154 scopus 로고    scopus 로고
    • A comprehensive set of tools for solving partial differential equations
    • Diffpack, in: M. Dæhlen, A. Tveito (Eds.), Birkhäuser, Basel
    • A.M. Bruaset, H.P. Langtangen, A comprehensive set of tools for solving partial differential equations; Diffpack, in: M. Dæhlen, A. Tveito (Eds.), Mathematical Models and Software Tools in Industrial Mathematics, Birkhäuser, Basel, 1997, pp. 61-90.
    • (1997) Mathematical Models and Software Tools in Industrial Mathematics , pp. 61-90
    • Bruaset, A.M.1    Langtangen, H.P.2
  • 10
    • 0031097391 scopus 로고    scopus 로고
    • Object-oriented design of preconditioned iterative methods in Diffipack
    • A.M. Bruaset, H.P. Langtangen, Object-oriented design of preconditioned iterative methods in Diffipack, Trans. Math. Software 23 (1997) 50-80.
    • (1997) Trans. Math. Software , vol.23 , pp. 50-80
    • Bruaset, A.M.1    Langtangen, H.P.2
  • 13
    • 40449093496 scopus 로고
    • A numerical method for solving incompressible viscous flow problems
    • A.J. Chorin, A numerical method for solving incompressible viscous flow problems, J. Comput. Phys. 2 (1967) 12-26.
    • (1967) J. Comput. Phys. , vol.2 , pp. 12-26
    • Chorin, A.J.1
  • 14
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • A.J. Chorin, Numerical solution of the Navier-Stokes equations, Math. Comput. 22 (1968) 745-762.
    • (1968) Math. Comput. , vol.22 , pp. 745-762
    • Chorin, A.J.1
  • 15
    • 0031901317 scopus 로고    scopus 로고
    • A general algorithm for compressible and incompressible flows, Part III: The semi-implicit form
    • R. Codina, M. Vásquez, O.C. Zienkiewicz, A general algorithm for compressible and incompressible flows, Part III: The semi-implicit form, Int. J. Num. Methods Fluids 27 (1998) 13-32.
    • (1998) Int. J. Num. Methods Fluids , vol.27 , pp. 13-32
    • Codina, R.1    Vásquez, M.2    Zienkiewicz, O.C.3
  • 16
    • 85031547696 scopus 로고    scopus 로고
    • Diffpack World Wide Web home page (see URL http://www.nobjects.com/Diffpack).
  • 17
    • 0019929655 scopus 로고
    • Consistent vs. reduced integration penalty methods for incompressible media using several old and new elements
    • M.S. Engleman, R.I. Sani, P.M. Gresho, M. Bercovier, Consistent vs. reduced integration penalty methods for incompressible media using several old and new elements, Int. J. Num. Methods Fluids 2 (1982) 25-42.
    • (1982) Int. J. Num. Methods Fluids , vol.2 , pp. 25-42
    • Engleman, M.S.1    Sani, R.I.2    Gresho, P.M.3    Bercovier, M.4
  • 18
    • 0019362553 scopus 로고
    • Old and new finite elements for incompressible flows; an approximately divergence free 9-node velocity element (with variations) for incompressible flows
    • M. Fortin, Old and new finite elements for incompressible flows; an approximately divergence free 9-node velocity element (with variations) for incompressible flows, Int. J. Num. Methods Fluids 1 (1981) 347-364.
    • (1981) Int. J. Num. Methods Fluids , vol.1 , pp. 347-364
    • Fortin, M.1
  • 19
    • 49049143188 scopus 로고
    • High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
    • U. Ghia, K.N. Ghia, C.T. Shin, High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method, J. Comput. Phys. 48 (1982) 387-411.
    • (1982) J. Comput. Phys. , vol.48 , pp. 387-411
    • Ghia, U.1    Ghia, K.N.2    Shin, C.T.3
  • 21
    • 0022797838 scopus 로고
    • On pressure boundary conditions for the incompressible Navier-Stokes equations
    • P.M. Gresho, R.L. Sani, On pressure boundary conditions for the incompressible Navier-Stokes equations, Int. J. Num. Methods Fluids 7 (1987) 1111-1145.
    • (1987) Int. J. Num. Methods Fluids , vol.7 , pp. 1111-1145
    • Gresho, P.M.1    Sani, R.L.2
  • 22
    • 0019381050 scopus 로고
    • An approximately divergence free 9-node velocity element (with variations) for incompressible flows
    • D.F. Griffiths, An approximately divergence free 9-node velocity element (with variations) for incompressible flows, Int. J. Num. Methods Fluids 1 (1981) 323-346.
    • (1981) Int. J. Num. Methods Fluids , vol.1 , pp. 323-346
    • Griffiths, D.F.1
  • 23
    • 0025398857 scopus 로고
    • Finite element solution of the Navier-Stokes equations by a velocity-vorticity method
    • G. Guevremont, W.G. Habashi, M.M. Hafez, Finite element solution of the Navier-Stokes equations by a velocity-vorticity method, Int. J. Num. Methods Fluids 11 (1990) 661-675.
    • (1990) Int. J. Num. Methods Fluids , vol.11 , pp. 661-675
    • Guevremont, G.1    Habashi, W.G.2    Hafez, M.M.3
  • 25
    • 0022153145 scopus 로고
    • Finite element analysis of density flow using the velocity correction method
    • M. Kawahara, K. Ohmiya, Finite element analysis of density flow using the velocity correction method, Int. J. Num. Methods Fluids 5 (1985) 981-993.
    • (1985) Int. J. Num. Methods Fluids , vol.5 , pp. 981-993
    • Kawahara, M.1    Ohmiya, K.2
  • 26
    • 0026358360 scopus 로고
    • A finite element scheme based on the velocity correction method for the solution of the time-dependent incompressible Navier-Stokes equations
    • A. Kovacs and M. Kawahara, A finite element scheme based on the velocity correction method for the solution of the time-dependent incompressible Navier-Stokes equations, Int. J. Num. Methods Fluids 13 (1991) 403-423.
    • (1991) Int. J. Num. Methods Fluids , vol.13 , pp. 403-423
    • Kovacs, A.1    Kawahara, M.2
  • 27
    • 0003538252 scopus 로고    scopus 로고
    • Computational partial differential equations - Numerical methods and diffpack programming
    • Springer, Berlin
    • H.P. Langtangen, Computational partial differential equations - numerical methods and diffpack programming, Lecture Notes in Computational Science and Engineering, Springer, Berlin, 1999.
    • (1999) Lecture Notes in Computational Science and Engineering
    • Langtangen, H.P.1
  • 29
    • 84987453885 scopus 로고
    • A fractional-step Taylor-Galerkin method for unsteady incompressible flows
    • H. Laval, L. Quartapelle, A fractional-step Taylor-Galerkin method for unsteady incompressible flows, Int. J. Num. Methods Fluids 11 (1990) 501-513.
    • (1990) Int. J. Num. Methods Fluids , vol.11 , pp. 501-513
    • Laval, H.1    Quartapelle, L.2
  • 30
    • 0028534185 scopus 로고
    • An element level zero-divergence finite element approach
    • A.N.F. Mack, An element level zero-divergence finite element approach, Int. J. Num. Methods Fluids 19 (1994) 795-813.
    • (1994) Int. J. Num. Methods Fluids , vol.19 , pp. 795-813
    • Mack, A.N.F.1
  • 31
    • 85031549619 scopus 로고    scopus 로고
    • Mark Sussman World Wide Web home page, http://www.math.ucdavis.edul.sussman/.
  • 32
    • 0021608931 scopus 로고
    • A finite element method for the three dimensional non-steady Navier-Stokes equations
    • A. Mizukami, M. Tsuchiya, A finite element method for the three dimensional non-steady Navier-Stokes equations, Int. J. Num. Methods Fluids 4 (1984) 349-357.
    • (1984) Int. J. Num. Methods Fluids , vol.4 , pp. 349-357
    • Mizukami, A.1    Tsuchiya, M.2
  • 33
    • 0000930479 scopus 로고
    • Computing interface motion in compressible gas dynamics
    • W. Mulder, S. Osher, J.A. Sethian, Computing interface motion in compressible gas dynamics, J. Comput. Phys. 100 (1992) 209-228.
    • (1992) J. Comput. Phys. , vol.100 , pp. 209-228
    • Mulder, W.1    Osher, S.2    Sethian, J.A.3
  • 35
    • 0026416909 scopus 로고
    • Finite element solution of the incompressible Navier-Stokes equations by a Helmholtz velocity decomposition
    • M.F. Peeters, W.G. Habashi, B.Q. Nguyen, Finite element solution of the incompressible Navier-Stokes equations by a Helmholtz velocity decomposition, Int. J. Num. Methods Fluids 13 (1991) 135-144.
    • (1991) Int. J. Num. Methods Fluids , vol.13 , pp. 135-144
    • Peeters, M.F.1    Habashi, W.G.2    Nguyen, B.Q.3
  • 36
    • 0000034826 scopus 로고
    • On penalty function methods in the finite element analysis of flow problems
    • J.N. Reddy, On penalty function methods in the finite element analysis of flow problems, Int. J. Num. Methods Fluids 18 (1982) 853-870.
    • (1982) Int. J. Num. Methods Fluids , vol.18 , pp. 853-870
    • Reddy, J.N.1
  • 37
    • 0027656152 scopus 로고
    • A finite element solution of the time-dependent incompressible Navier-Stokes equations using a modified velocity correction method
    • G. Ren, T. Utnes, A finite element solution of the time-dependent incompressible Navier-Stokes equations using a modified velocity correction method, Int. J. Num. Methods Fluids 17 (1993) 349-364.
    • (1993) Int. J. Num. Methods Fluids , vol.17 , pp. 349-364
    • Ren, G.1    Utnes, T.2
  • 38
    • 0030247495 scopus 로고    scopus 로고
    • From Scientific Software libraries to problem-solving environments
    • R.J. Rice, R.F. Boisvert, From Scientific Software libraries to problem-solving environments, IEEE Comput. Sci. Eng. (1996) 44-53.
    • (1996) IEEE Comput. Sci. Eng. , pp. 44-53
    • Rice, R.J.1    Boisvert, R.F.2
  • 39
    • 0001760994 scopus 로고    scopus 로고
    • C++ gets faster for scientific computing
    • A.D. Robinson, C++ gets faster for scientific computing, Comput. Phys. 10 (1996) 458-462.
    • (1996) Comput. Phys. , vol.10 , pp. 458-462
    • Robinson, A.D.1
  • 40
    • 0019353782 scopus 로고
    • The cause and cure (?) of the spurious pressures generated by certain FEM solutions of the incompressible Navier-Stokes equations, part 1 (part 2)
    • R.L. Sani, P.M. Gresho, R.L. Lee, D.F. Griffiths, The cause and cure (?) of the spurious pressures generated by certain FEM solutions of the incompressible Navier-Stokes equations, part 1 (part 2), Int. J. Num. Methods Fluids 1 (1981) 17-43.
    • (1981) Int. J. Num. Methods Fluids , vol.1 , pp. 17-43
    • Sani, R.L.1    Gresho, P.M.2    Lee, R.L.3    Griffiths, D.F.4
  • 42
    • 28144444111 scopus 로고
    • A level set approach for computing solutions to incompressible two-phase flow
    • M. Sussman, P. Smereka, S. Osher, A level set approach for computing solutions to incompressible two-phase flow, J. Comput. Phys. 114 (1994) 146-159.
    • (1994) J. Comput. Phys. , vol.114 , pp. 146-159
    • Sussman, M.1    Smereka, P.2    Osher, S.3
  • 43
    • 0015566427 scopus 로고
    • A numerical solution of the Navier-Stokes equations using the finite element method
    • C. Taylor, P. Hood, A numerical solution of the Navier-Stokes equations using the finite element method, J. Comput. Phys. 1 (1973) 73-100.
    • (1973) J. Comput. Phys. , vol.1 , pp. 73-100
    • Taylor, C.1    Hood, P.2
  • 44
    • 0025632173 scopus 로고
    • Incompressible flow computations based on the vorticity-stream function and velocity-pressure formulations
    • T.E. Tezduyar, J. Liou, D.K. Ganjoo, Incompressible flow computations based on the vorticity-stream function and velocity-pressure formulations, Comput. Struct. 35 (4) (1990) 445-472.
    • (1990) Comput. Struct. , vol.35 , Issue.4 , pp. 445-472
    • Tezduyar, T.E.1    Liou, J.2    Ganjoo, D.K.3
  • 45
    • 84987532329 scopus 로고
    • Solution techniques for the vorticity-streamfunction formulation of two-dimensional unsteady incompressible flow
    • T.E. Tezduyar, J. Liou, D.K. Ganjoo, M. Behr, Solution techniques for the vorticity-streamfunction formulation of two-dimensional unsteady incompressible flow, Int. J. Num. Methods Fluids 11 (1990) 515-539.
    • (1990) Int. J. Num. Methods Fluids , vol.11 , pp. 515-539
    • Tezduyar, T.E.1    Liou, J.2    Ganjoo, D.K.3    Behr, M.4
  • 46
    • 0029674537 scopus 로고    scopus 로고
    • An approximate projection scheme for incompressible flow using spectral elements
    • L.J.P. Timmermans, P.D. Minev, F.N. Vosse, An approximate projection scheme for incompressible flow using spectral elements, Int J. Num. Methods Fluids 22 (1996) 637-688.
    • (1996) Int J. Num. Methods Fluids , vol.22 , pp. 637-688
    • Timmermans, L.J.P.1    Minev, P.D.2    Vosse, F.N.3
  • 47
    • 0028174426 scopus 로고
    • Tools for simulating non-stationary incompressible flow via discretely divergence-free finite element models
    • S. Turek, Tools for simulating non-stationary incompressible flow via discretely divergence-free finite element models, Int. J. Num. Methods Fluids 18 (1994) 71-105.
    • (1994) Int. J. Num. Methods Fluids , vol.18 , pp. 71-105
    • Turek, S.1
  • 49
    • 0026821336 scopus 로고
    • A preconditioned conjugate gradient Uzawa-type method for the solution of the stokes problem by mixed Q1-P0 stabilized finite elements
    • C. Vincent, R. Boyer, A preconditioned conjugate gradient Uzawa-type method for the solution of the stokes problem by mixed Q1-P0 stabilized finite elements, Int. J. Num. Methods Fluids 14 (1992) 289-298.
    • (1992) Int. J. Num. Methods Fluids , vol.14 , pp. 289-298
    • Vincent, C.1    Boyer, R.2
  • 50
    • 0026627340 scopus 로고
    • A Helmholz pressure equation method for the calculation of unsteady incompressible viscous flows
    • M. Williams, A Helmholz pressure equation method for the calculation of unsteady incompressible viscous flows, Int. J. Num. Methods Fluids 14 (1992) 1-12.
    • (1992) Int. J. Num. Methods Fluids , vol.14 , pp. 1-12
    • Williams, M.1
  • 51
    • 0023341723 scopus 로고
    • Comparison between the traction and pressure-imposed boundary conditions in finite element flow analysis
    • Yagava, Eguchi, Comparison between the traction and pressure-imposed boundary conditions in finite element flow analysis, Int. J. Num. Methods Fluids 7 (1987) 521-532.
    • (1987) Int. J. Num. Methods Fluids , vol.7 , pp. 521-532
    • Yagava, E.1
  • 52
    • 0027623726 scopus 로고
    • The construction of an optimal weakly divergence-free macroelement
    • X. Ye, C.A. Hall, The construction of an optimal weakly divergence-free macroelement, Int. J. Num. Methods Eng. 36 (1993) 2245-2262.
    • (1993) Int. J. Num. Methods Eng. , vol.36 , pp. 2245-2262
    • Ye, X.1    Hall, C.A.2
  • 53
    • 0003326186 scopus 로고
    • The second order projection method for the backward facing step flow
    • J. Zhu, The second order projection method for the backward facing step flow, J. Comput. Phys. 117 (1995) 318-331.
    • (1995) J. Comput. Phys. , vol.117 , pp. 318-331
    • Zhu, J.1
  • 55
    • 0026239793 scopus 로고
    • Incompressibility without tears - How to avoid restrictions of mixed formulation
    • O.C. Zienkiewicz, J. Wu, Incompressibility without tears - how to avoid restrictions of mixed formulation, Int. J. Num. Methods Fluids 32 (1991) 1189-1203.
    • (1991) Int. J. Num. Methods Fluids , vol.32 , pp. 1189-1203
    • Zienkiewicz, O.C.1    Wu, J.2
  • 56
    • 84983128518 scopus 로고
    • Search for a general fluid mechanics algorithm
    • D.A. Caughey, M.N. Hafez (Eds.), Wiley, New York
    • O.C. Zienkiewicz, R. Codina, Search for a general fluid mechanics algorithm, in: D.A. Caughey, M.N. Hafez (Eds.), Frontiers of Computational Fluid Dynamics, Wiley, New York, 1994, pp. 267-280.
    • (1994) Frontiers of Computational Fluid Dynamics , pp. 267-280
    • Zienkiewicz, O.C.1    Codina, R.2


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