메뉴 건너뛰기




Volumn 7, Issue 6, 2000, Pages 429-447

Fast pressure calculation for 2D and 3D time dependent incompressible flow

Author keywords

Alternating line Jacobi; Black box; Incomplete block LU factorization; Incompressible flow; Krylov methods; Multigrid; Preconditioner; Pressure correction

Indexed keywords


EID: 0034393455     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/1099-1506(200009)7:6<429::AID-NLA204>3.0.CO;2-8     Document Type: Article
Times cited : (8)

References (23)
  • 1
    • 33749190078 scopus 로고
    • Numerical calculation of time-dependent viscous incompressible flow of fluid with a free surface
    • Harlow FH, Welch JE. Numerical calculation of time-dependent viscous incompressible flow of fluid with a free surface. The Physics of Fluids 1965; 8:2182-2189.
    • (1965) The Physics of Fluids , vol.8 , pp. 2182-2189
    • Harlow, F.H.1    Welch, J.E.2
  • 3
    • 0002424557 scopus 로고
    • On the adoption of velocity variable and grid system for fluid flow computation in curvilinear coordinates
    • Shyy M, Vu TC. On the adoption of velocity variable and grid system for fluid flow computation in curvilinear coordinates. Journal of Computational Physics 1991; 92:82-105.
    • (1991) Journal of Computational Physics , vol.92 , pp. 82-105
    • Shyy, M.1    Vu, T.C.2
  • 5
    • 0001146617 scopus 로고
    • A fractional step solution method for the unsteady incompressible Navier-Stokes equations in generalized coordinate systems
    • Rosenfeld M, Kwak D, Vinokur M. A fractional step solution method for the unsteady incompressible Navier-Stokes equations in generalized coordinate systems. Journal of Computational Physics 1991; 94:102-137.
    • (1991) Journal of Computational Physics , vol.94 , pp. 102-137
    • Rosenfeld, M.1    Kwak, D.2    Vinokur, M.3
  • 6
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • Chorin AJ. Numerical solution of the Navier-Stokes equations. Mathematics of Computation 1968; 22:745-762.
    • (1968) Mathematics of Computation , vol.22 , pp. 745-762
    • Chorin, A.J.1
  • 7
    • 0000674333 scopus 로고
    • A second-order accurate pressure correction method for viscous incompressible flow
    • Van Kan JJIM. A second-order accurate pressure correction method for viscous incompressible flow. SIAM Journal on Scientific and Statistical Computing 1986; 7:870-891.
    • (1986) SIAM Journal on Scientific and Statistical Computing , vol.7 , pp. 870-891
    • Van Kan, J.J.I.M.1
  • 8
  • 10
    • 0003090969 scopus 로고
    • Matrix-dependent prolongations and restrictions in a blackbox multigrid solver
    • de Zeeuw PM. Matrix-dependent prolongations and restrictions in a blackbox multigrid solver. Journal of Computational and Applied Mathematics 1990; 33:1-27.
    • (1990) Journal of Computational and Applied Mathematics , vol.33 , pp. 1-27
    • De Zeeuw, P.M.1
  • 11
    • 85037453581 scopus 로고
    • An adaptive multilevel connectionist scheme for black box global optimization
    • Mandel J, McCormick SF (eds). Computational Mathematics Group, University of Colorado: Denver
    • Goertzel B. An adaptive multilevel connectionist scheme for black box global optimization. In Preliminary Proceedings of the 4th Copper Mountain Conference on Multigrid Methods, vol. 2. Mandel J, McCormick SF (eds). Computational Mathematics Group, University of Colorado: Denver, 1989; 69-89.
    • (1989) Preliminary Proceedings of the 4th Copper Mountain Conference on Multigrid Methods , vol.2 , pp. 69-89
    • Goertzel, B.1
  • 13
    • 0345325719 scopus 로고
    • Defect correction and multigrid iterations
    • Multigrid Methods, Hackbusch W, Trottenberg U (eds), Springer-Verlag: Berlin
    • Auzinger W, Stetter HJ. Defect correction and multigrid iterations. In Multigrid Methods, Hackbusch W, Trottenberg U (eds), Lecture Notes in Mathematics, vol. 960. Springer-Verlag: Berlin, 1982; 327-351.
    • (1982) Lecture Notes in Mathematics , vol.960 , pp. 327-351
    • Auzinger, W.1    Stetter, H.J.2
  • 14
    • 0000005482 scopus 로고
    • Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for solution of non-symmetric linear systems
    • Van der Vorst HA. Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for solution of non-symmetric linear systems. SIAM Journal on Scientific and Statistical Computing 1992; 13:631-644.
    • (1992) SIAM Journal on Scientific and Statistical Computing , vol.13 , pp. 631-644
    • Van Der Vorst, H.A.1
  • 15
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving non-symmetric linear systems
    • Saad Y, Schultz MH. GMRES: a generalized minimal residual algorithm for solving non-symmetric linear systems. SIAM Journal on Scientific and Statistical Computing 1986; 7:856-869.
    • (1986) SIAM Journal on Scientific and Statistical Computing , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 16
    • 84966225158 scopus 로고
    • An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix
    • Meijerink JA, Van der Vorst HA. An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix. Mathematics of Computation 1977; 31:148-162.
    • (1977) Mathematics of Computation , vol.31 , pp. 148-162
    • Meijerink, J.A.1    Van Der Vorst, H.A.2
  • 17
    • 85041149222 scopus 로고
    • Solution of the discretized incompressible Navier-Stokes equations with the GMRES method
    • Vuik C. Solution of the discretized incompressible Navier-Stokes equations with the GMRES method. International Journal for Numerical Methods in Fluids 1993; 16:507-523.
    • (1993) International Journal for Numerical Methods in Fluids , vol.16 , pp. 507-523
    • Vuik, C.1
  • 18
    • 0029656374 scopus 로고    scopus 로고
    • Fast iterative solvers for the discretized incompressible Navier-Stokes equations
    • Vuik C. Fast iterative solvers for the discretized incompressible Navier-Stokes equations. International Journal for Numerical Methods in Fluids 1996; 22:195-210.
    • (1996) International Journal for Numerical Methods in Fluids , vol.22 , pp. 195-210
    • Vuik, C.1
  • 19
    • 0041737836 scopus 로고
    • Multigrid and conjugate gradient acceleration of basic iterative methods
    • Morton KW, Baines MJ (eds). Clarendon Press: Oxford
    • Sonneveld P, Wesseling P, de Zeeuw PM. Multigrid and conjugate gradient acceleration of basic iterative methods. In Numerical Methods for Fluid Dynamics II, Morton KW, Baines MJ (eds). Clarendon Press: Oxford, 1986; 347-368.
    • (1986) Numerical Methods for Fluid Dynamics II , pp. 347-368
    • Sonneveld, P.1    Wesseling, P.2    De Zeeuw, P.M.3
  • 20
    • 85037479009 scopus 로고    scopus 로고
    • Cache based multigrid on unstructured grids
    • Copper Mountain, Colorado USA, 11-16 April, Manteuffel T, McCormick S (eds).
    • Hu J. Cache based multigrid on unstructured grids. In Virtual Proceedings of the 9th Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado USA, 11-16 April, 1999; 1-11, Manteuffel T, McCormick S (eds). http://www.mgnet.org
    • (1999) Virtual Proceedings of the 9th Copper Mountain Conference on Multigrid Methods , pp. 1-11
    • Hu, J.1
  • 21
    • 0003091227 scopus 로고
    • Numerical solution of the incompressible Navier-Stokes equations by Krylov subspace and multigrid methods
    • Zeng S, Vuik C, Wesseling P. Numerical solution of the incompressible Navier-Stokes equations by Krylov subspace and multigrid methods. Advances in Computational Mathematics 1995; 4:27-50.
    • (1995) Advances in Computational Mathematics , vol.4 , pp. 27-50
    • Zeng, S.1    Vuik, C.2    Wesseling, P.3
  • 22
    • 0032527016 scopus 로고    scopus 로고
    • Domain decomposition for the incompressible Navier-Stokes equations: Solving subdomain problems accurately and inaccurately
    • Brakkee E, Vuik C, Wesseling P. Domain decomposition for the incompressible Navier-Stokes equations: solving subdomain problems accurately and inaccurately. International Journal for Numerical Methods in Fluids 1998; 26:1217-1237.
    • (1998) International Journal for Numerical Methods in Fluids , vol.26 , pp. 1217-1237
    • Brakkee, E.1    Vuik, C.2    Wesseling, P.3
  • 23
    • 0002618595 scopus 로고
    • Further experiences with GMRESR
    • Vuik C. Further experiences with GMRESR. Supercomputer 1993; 55:13-27.
    • (1993) Supercomputer , vol.55 , pp. 13-27
    • Vuik, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.