메뉴 건너뛰기




Volumn 131, Issue 1-2, 1996, Pages 109-132

A local solution adapted Tri-Tree multigrid generator and iterative equation solver for mixed finite element formulation of the Navier-Stokes equations

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; FINITE ELEMENT METHOD; FLOW OF FLUIDS; ITERATIVE METHODS; LINEARIZATION; MATHEMATICAL MODELS; MATRIX ALGEBRA; NAVIER STOKES EQUATIONS; NONLINEAR EQUATIONS;

EID: 0042013716     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7825(95)00949-3     Document Type: Article
Times cited : (6)

References (24)
  • 1
    • 45149144830 scopus 로고
    • A new finite element formulation for computational fluid dynamics: VIII. The Galerkin/least-squares method for advective-diffusive equations
    • T.J.R. Hughes, L.P. Franca and G.M. Hulbert, A new finite element formulation for computational fluid dynamics: VIII. The Galerkin/least-squares method for advective-diffusive equations, Comput. Methods Appl. Mech. Engrg. 73 (1989) 173-189.
    • (1989) Comput. Methods Appl. Mech. Engrg. , vol.73 , pp. 173-189
    • Hughes, T.J.R.1    Franca, L.P.2    Hulbert, G.M.3
  • 2
    • 0026416606 scopus 로고
    • Finite element modeling of quasi-three-dimensional nearly horizontal flow
    • T. Utnes, Finite element modeling of quasi-three-dimensional nearly horizontal flow, Int. J. Numer. Methods Fluids 12 (1991) 559-576.
    • (1991) Int. J. Numer. Methods Fluids , vol.12 , pp. 559-576
    • Utnes, T.1
  • 3
    • 0021365785 scopus 로고
    • Numerical simulations of steady flow inside a three-dimensional aortic bifurcation model
    • S.Ø. Wille, Numerical simulations of steady flow inside a three-dimensional aortic bifurcation model, J. Biomed. Engrg. 6 (1984) 49-55.
    • (1984) J. Biomed. Engrg. , vol.6 , pp. 49-55
    • Wille, S.Ø.1
  • 4
    • 0024089329 scopus 로고
    • A partitioning scheme and iterative solution for sparse bordered systems
    • E. Barragy and G.F. Carey, A partitioning scheme and iterative solution for sparse bordered systems, Comput. Methods Appl. Mech. Engrg. 70 (1988) 321-327.
    • (1988) Comput. Methods Appl. Mech. Engrg. , vol.70 , pp. 321-327
    • Barragy, E.1    Carey, G.F.2
  • 5
    • 0026918640 scopus 로고
    • An ILU preconditioner with coupled node fill-in for iterative solution of the mixed finite element formulation of the 2-D and 3-D Navier-Stokes equations
    • O. Dahl and S.Ø. Wille, An ILU preconditioner with coupled node fill-in for iterative solution of the mixed finite element formulation of the 2-D and 3-D Navier-Stokes equations, Int. J. Numer. Methods Fluids 15 (1992) 525-544.
    • (1992) Int. J. Numer. Methods Fluids , vol.15 , pp. 525-544
    • Dahl, O.1    Wille, S.Ø.2
  • 6
    • 0019559785 scopus 로고
    • Pulsatile pressure and flow in arterial aneurysm simulated in a mathematical model
    • S.Ø. Wille, Pulsatile pressure and flow in arterial aneurysm simulated in a mathematical model, J. Biomed. Engrg. 3 (1981) 153-158.
    • (1981) J. Biomed. Engrg. , vol.3 , pp. 153-158
    • Wille, S.Ø.1
  • 7
    • 0028450254 scopus 로고
    • A preconditioned alternating inner-outer iterative solution method for the mixed finite element formulation of the Navier-Stokes equations
    • S.Ø. Wille, A preconditioned alternating inner-outer iterative solution method for the mixed finite element formulation of the Navier-Stokes equations, Int. J. Numer. Methods Fluids 18 (1994) 1135-1151.
    • (1994) Int. J. Numer. Methods Fluids , vol.18 , pp. 1135-1151
    • Wille, S.Ø.1
  • 9
    • 0026849167 scopus 로고
    • A structured Tri-Tree search method for generation of optimal unstructured finite element grids in two and three dimensions
    • S.Ø. Wille, A structured Tri-Tree search method for generation of optimal unstructured finite element grids in two and three dimensions, Int. J. Numer. Methods Fluids 14 (1992) 861-881.
    • (1992) Int. J. Numer. Methods Fluids , vol.14 , pp. 861-881
    • Wille, S.Ø.1
  • 10
    • 0348194987 scopus 로고
    • An adaptive unstructured Tri-Tree iterative solver for mixed finite element formulation of the Stokes equations
    • in press
    • S.Ø. Wille, An adaptive unstructured Tri-Tree iterative solver for mixed finite element formulation of the Stokes equations, Int. J. Numer. Methods Fluids (1994), in press.
    • (1994) Int. J. Numer. Methods Fluids
    • Wille, S.Ø.1
  • 11
    • 0041979013 scopus 로고
    • A non-linear adaptive Tri-Tree multigrid solver for mixed finite element formulation of the Navier-Stokes equations
    • in press
    • S.Ø. Wille, A non-linear adaptive Tri-Tree multigrid solver for mixed finite element formulation of the Navier-Stokes equations, Int. J. Numer. Methods Fluids (1995), in press.
    • (1995) Int. J. Numer. Methods Fluids
    • Wille, S.Ø.1
  • 13
    • 0002716979 scopus 로고
    • CGS, a fast Lanczos-type solver for nonsymmetric linear systems
    • P. Sonneveld, CGS, a fast Lanczos-type solver for nonsymmetric linear systems, SIAM J. Stat. Comput. 10 (1987) 36-52.
    • (1987) SIAM J. Stat. Comput. , vol.10 , pp. 36-52
    • Sonneveld, P.1
  • 14
    • 0024610290 scopus 로고
    • Performance of iterative methods for Newtonian and generalized Newtonian flows
    • G.F. Carey, K.C. Wang and W.D. Joubert, Performance of iterative methods for Newtonian and generalized Newtonian flows, Int. J. Numer. Methods Fluids 9 (1989) 127-150.
    • (1989) Int. J. Numer. Methods Fluids , vol.9 , pp. 127-150
    • Carey, G.F.1    Wang, K.C.2    Joubert, W.D.3
  • 15
    • 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 and 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. Numer. Methods Fluids 14 (1992) 289-298.
    • (1992) Int. J. Numer. Methods Fluids , vol.14 , pp. 289-298
    • Vincent, C.1    Boyer, R.2
  • 16
    • 0000051186 scopus 로고
    • Polynomial preconditioners for conjugate gradient calculations
    • O.G. Johnson, C.A. Michelli and G. Paul, polynomial preconditioners for conjugate gradient calculations, SIAM J. Numer. Anal. 20 (1983) 362-376.
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 362-376
    • Johnson, O.G.1    Michelli, C.A.2    Paul, G.3
  • 17
  • 19
    • 0025237908 scopus 로고
    • A combined Octree/Delauney method for fully automatic 3-D mesh generations
    • W.J. Schroeder and M.S. Shepard, A combined Octree/Delauney method for fully automatic 3-D mesh generations, Int. J. Numer. Methods Engrg. 29 (1990) 37-55.
    • (1990) Int. J. Numer. Methods Engrg. , vol.29 , pp. 37-55
    • Schroeder, W.J.1    Shepard, M.S.2
  • 21
    • 0000005482 scopus 로고
    • Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems
    • H.A. van der Vorst, Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems, SIAM J. Sci. Stat. Comput. 13 (1992) 631-644.
    • (1992) SIAM J. Sci. Stat. Comput. , vol.13 , pp. 631-644
    • Van Der Vorst, H.A.1
  • 22
    • 0001010277 scopus 로고
    • Generalized conjugate-gradient acceleration of non-symmetrizable iterative methods
    • D.M. Young and K.C. Yea, Generalized conjugate-gradient acceleration of non-symmetrizable iterative methods, Lin. Alg. Applic. 34 (1980) 159-194.
    • (1980) Lin. Alg. Applic. , vol.34 , pp. 159-194
    • Young, D.M.1    Yea, K.C.2
  • 23
    • 0015566427 scopus 로고
    • A numerical solution of the Navier-Stokes equations using the finite element technique
    • C. Taylor and P. Hood, A numerical solution of the Navier-Stokes equations using the finite element technique, Comput. Fluids 1 (1973) 73-100.
    • (1973) Comput. Fluids , vol.1 , pp. 73-100
    • Taylor, C.1    Hood, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.