메뉴 건너뛰기




Volumn 17, Issue 5, 2003, Pages 371-385

A Fully Coupled Solver for Incompressible Navier-Stokes Equations using Operator Splitting

Author keywords

High Reynolds numbers; Incompressible flows; Navier Stokes equations; Operator splitting

Indexed keywords

RECTANGULAR CAVITY;

EID: 0142085846     PISSN: 10618562     EISSN: None     Source Type: Journal    
DOI: 10.1080/1061856031000114300     Document Type: Article
Times cited : (17)

References (30)
  • 1
    • 45949112764 scopus 로고
    • Numerical solutions for the pressure Poisson equation with Neumann boundary condition using a non-staggered grid. Part I
    • Abdallah, S. (1987) "Numerical solutions for the pressure Poisson equation with Neumann boundary condition using a non-staggered grid. Part I", J. Comput. Phys. 70, 182-192.
    • (1987) J. Comput. Phys. , vol.70 , pp. 182-192
    • Abdallah, S.1
  • 2
    • 33744482805 scopus 로고
    • Computational design for long-term numerical integration of the equations of fluid motion: Two-dimensional incompressible flow. Part I
    • Arakawa, A. (1966) "Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I", J. Comput. Phys. 1, 119-143.
    • (1966) J. Comput. Phys. , vol.1 , pp. 119-143
    • Arakawa, A.1
  • 3
    • 0020707925 scopus 로고
    • Experimental and theoretical investigation of backward-facing step flow
    • Armaly, B.F., Durst, P., Pereira, J.C.F. and Schonung, B. (1983) "Experimental and theoretical investigation of backward-facing step flow", Fluid Mech. 127, 473-496.
    • (1983) Fluid Mech. , vol.127 , pp. 473-496
    • Armaly, B.F.1    Durst, P.2    Pereira, J.C.F.3    Schonung, B.4
  • 4
    • 0031234401 scopus 로고    scopus 로고
    • The entrance effect of laminar flow over a backward-facing step geometry
    • Barton, I.E. (1997) "The entrance effect of laminar flow over a backward-facing step geometry", Int. J. Numer. Meth. Fluids 25, 633-644.
    • (1997) Int. J. Numer. Meth. Fluids , vol.25 , pp. 633-644
    • Barton, I.E.1
  • 5
    • 0000305272 scopus 로고
    • An efficient scheme for solving steady incompressible Navier-Stokes equations
    • Bruneau, C.-H. and Jouron, C. (1990) "An efficient scheme for solving steady incompressible Navier-Stokes equations", J. Comput. Phys. 89, 389-413.
    • (1990) J. Comput. Phys. , vol.89 , pp. 389-413
    • Bruneau, C.-H.1    Jouron, C.2
  • 6
    • 0142078347 scopus 로고
    • Gaussian Elimination with Pivoting for Multidiagonal Systems
    • University of Reading
    • Christov C.I. (1994) Gaussian Elimination with Pivoting for Multidiagonal Systems, Internal Report 4. University of Reading.
    • (1994) Internal Report , vol.4
    • Christov, C.I.1
  • 7
    • 0012216999 scopus 로고    scopus 로고
    • Implicit scheme for Navier-Stokes equations in primitive variables via vectorial operator splitting
    • Wiesbaden, Vieweg
    • Christov, C.I. and Marinova, R.S. (1998a) "Implicit scheme for Navier-Stokes equations in primitive variables via vectorial operator splitting", Notes on Numer. Fluid Mech. 62, 251-259, Wiesbaden, Vieweg.
    • (1998) Notes on Numer. Fluid Mech. , vol.62 , pp. 251-259
    • Christov, C.I.1    Marinova, R.S.2
  • 8
    • 0142109965 scopus 로고    scopus 로고
    • Numerical solutions for steady flow past a circular cylinder via method of variational imbedding
    • Christov, C.I. and Marinova, R.S. (1998b) "Numerical solutions for steady flow past a circular cylinder via method of variational imbedding", Annuaire de l'Université de Sofia St. Kl. Ohridski 90, 177-189.
    • (1998) Annuaire de l'Université de Sofia St. Kl. Ohridski , vol.90 , pp. 177-189
    • Christov, C.I.1    Marinova, R.S.2
  • 9
    • 0012266265 scopus 로고    scopus 로고
    • Implicit vectorial operator Splitting for incompressible Navier-Stokes equations in primitive variables
    • Christov, C.I. and Marinova, R.S. (2001) "Implicit vectorial operator Splitting for incompressible Navier-Stokes equations in primitive variables", J. Comput. Technol. 6, 92-119.
    • (2001) J. Comput. Technol. , vol.6 , pp. 92-119
    • Christov, C.I.1    Marinova, R.S.2
  • 10
    • 84967782959 scopus 로고
    • On the numerical solution of heat conduction problems in two and three space variables
    • Douglas, J. and Rachford, H.H. (1956) "On the numerical solution of heat conduction problems in two and three space variables", Trans. Amer. Math. Soc. 82, 421-439.
    • (1956) Trans. Amer. Math. Soc. , vol.82 , pp. 421-439
    • Douglas, J.1    Rachford, H.H.2
  • 11
    • 84987505901 scopus 로고
    • A test problem for outflow boundary conditions-flow over a backward-facing step
    • Gartling, D. (1990) "A test problem for outflow boundary conditions-flow over a backward-facing step", Int. J. Numer. Meth. Fluids 11, 53-967.
    • (1990) Int. J. Numer. Meth. Fluids , vol.11 , pp. 53-967
    • Gartling, D.1
  • 12
    • 49049143188 scopus 로고
    • High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
    • Ghia, U., Ghia, K.N. and Shin, C.T. (1982) "High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method", J. Comput. Phys. 48, 387-411.
    • (1982) J. Comput. Phys. , vol.48 , pp. 387-411
    • Ghia, U.1    Ghia, K.N.2    Shin, C.T.3
  • 14
    • 0030111637 scopus 로고    scopus 로고
    • High-Reynolds number solutions of Navier-Stokes equation using incremental unknowns
    • Goyon, O. (1996) "High-Reynolds number solutions of Navier-Stokes equation using incremental unknowns", Comput. Meth. Appl. Mech. Eng. 130, 319-355.
    • (1996) Comput. Meth. Appl. Mech. Eng. , vol.130 , pp. 319-355
    • Goyon, O.1
  • 16
    • 0000804348 scopus 로고
    • A fully coupled finite element algorithm, using direct and iterative solvers, for the incompressible Navier-Stokes equations
    • Gunzburger and Nicolaides, Cambridge
    • Habashi, W.G., Peeters, M.F., Robichaud, M.R and Nguyen, V-N. (1993) "A fully coupled finite element algorithm, using direct and iterative solvers, for the incompressible Navier-Stokes equations", Incompressible Computational Fluid Dynamics: Trends and Advances (Gunzburger and Nicolaides, Cambridge) pp 151-182.
    • (1993) Incompressible Computational Fluid Dynamics: Trends and Advances , pp. 151-182
    • Habashi, W.G.1    Peeters, M.F.2    Robichaud, M.R.3    Nguyen, V.-N.4
  • 17
    • 85006513400 scopus 로고
    • Numerical solution of the incompressible Navier-Stokes equations in primitive variables on unstaggared grids
    • Gunzburger and Nicolaides, Cambridge
    • Hafez, M. and Soliman, M. (1993) "Numerical solution of the incompressible Navier-Stokes equations in primitive variables on unstaggared grids", Incompressible Computational Fluid Dynamics: Trends and Advances (Gunzburger and Nicolaides, Cambridge), pp 183-202.
    • (1993) Incompressible Computational Fluid Dynamics: Trends and Advances , pp. 183-202
    • Hafez, M.1    Soliman, M.2
  • 18
    • 0033454825 scopus 로고    scopus 로고
    • Divergence boundary conditions for vector Helmholtz equations with divergence constraints
    • 2AN 33, 479-492.
    • (1999) 2AN , vol.33 , pp. 479-492
    • Kangro, U.1    Nicolaides, R.2
  • 19
    • 0033611773 scopus 로고    scopus 로고
    • Computations of a laminar backward-facing step flow at Re = 800 with a spectral domain decomposition method
    • Keskar, J. and Lyn, D.A. (1999) "Computations of a laminar backward-facing step flow at Re = 800 with a spectral domain decomposition method", Int. J. Numer. Meth. Fluids 29, 411-427.
    • (1999) Int. J. Numer. Meth. Fluids , vol.29 , pp. 411-427
    • Keskar, J.1    Lyn, D.A.2
  • 20
    • 46549092989 scopus 로고
    • Application of fractional-step method to incompressible Navier-Stokes equations
    • Kim, J. and Moin, P. (1985) "Application of fractional-step method to incompressible Navier-Stokes equations", J. Comput. Phys. 59, 308-323.
    • (1985) J. Comput. Phys. , vol.59 , pp. 308-323
    • Kim, J.1    Moin, P.2
  • 21
    • 0029656722 scopus 로고    scopus 로고
    • A short note on high-order stream function-vorticity formulation of 2D steady state Navier-Stokes equations
    • Liao, S.J. and Zhu, J.M. (1996) "A short note on high-order stream function-vorticity formulation of 2D steady state Navier-Stokes equations", Int. J. Numer. Meth. Fluids 22, 1-9.
    • (1996) Int. J. Numer. Meth. Fluids , vol.22 , pp. 1-9
    • Liao, S.J.1    Zhu, J.M.2
  • 22
    • 0015818454 scopus 로고
    • The method of false transients for the solution of coupled elliptic equations
    • Mallison, G.D. and de Vahl Davis, G. (1973) "The method of false transients for the solution of coupled elliptic equations", J. Comput. Phys. 12, 435-461.
    • (1973) J. Comput. Phys. , vol.12 , pp. 435-461
    • Mallison, G.D.1    De Vahl Davis, G.2
  • 24
    • 0012268499 scopus 로고    scopus 로고
    • High-Reynolds number solutions of incompressible Navier-Stokes equations using vectorial operator splitting
    • Springer, Berlin
    • Marinova, R.S., Christov, C.I. and Marinov, T.T. (2000) "High-Reynolds number solutions of incompressible Navier-Stokes equations using vectorial operator splitting", Computational Fluid Dynamics (Springer, Berlin) pp 247-252.
    • (2000) Computational Fluid Dynamics , pp. 247-252
    • Marinova, R.S.1    Christov, C.I.2    Marinov, T.T.3
  • 25
    • 49049123295 scopus 로고
    • Driven cavity flows by efficient numerical techniques
    • Schreiber, R. and Keller, H.B. (1983) "Driven cavity flows by efficient numerical techniques", J. Comput. Phys. 49, 310-333.
    • (1983) J. Comput. Phys. , vol.49 , pp. 310-333
    • Schreiber, R.1    Keller, H.B.2
  • 27
    • 0000322117 scopus 로고
    • Hopf bifurcation of the unsteady regularized driven cavity flow
    • Shen, J. (1991) "Hopf bifurcation of the unsteady regularized driven cavity flow", J. Comput Phys. 95, 228-245.
    • (1991) J. Comput Phys. , vol.95 , pp. 228-245
    • Shen, J.1
  • 28
    • 38249034400 scopus 로고
    • Time-marching solution of incompressible Navier-Stokes equations for internal flow
    • Soh, W.Y. (1987) "Time-marching solution of incompressible Navier-Stokes equations for internal flow", J. Comput. Phys. 70, 232-252.
    • (1987) J. Comput. Phys. , vol.70 , pp. 232-252
    • Soh, W.Y.1
  • 29
    • 0002813651 scopus 로고
    • An adaptive multigrid technique for the incompressible Navier-Stokes equations
    • Thompson, M.C. and Ferziger, J.H. (1989) "An adaptive multigrid technique for the incompressible Navier-Stokes equations", J. Computat. Phys. 82, 94-121.
    • (1989) J. Computat. Phys. , vol.82 , pp. 94-121
    • Thompson, M.C.1    Ferziger, J.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.