메뉴 건너뛰기




Volumn 225, Issue 2, 2007, Pages 2118-2137

The immersed boundary method: A projection approach

Author keywords

Finite volume method; Fractional step method; Immersed boundary method; Incompressible viscous flow; Projection method; Staggered grid

Indexed keywords

CONJUGATE GRADIENT METHOD; FLOW FIELDS; INCOMPRESSIBLE FLOW; LAGRANGE MULTIPLIERS; NAVIER STOKES EQUATIONS; TURBULENT FLOW; VISCOUS FLOW;

EID: 34547518876     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.03.005     Document Type: Article
Times cited : (605)

References (39)
  • 1
    • 0347468677 scopus 로고    scopus 로고
    • Initial flow field over an impulsively started circular cylinder
    • Bar-Lev M., and Yang H.T. Initial flow field over an impulsively started circular cylinder. J. Fluid Mech. 72 4 (1997) 625-647
    • (1997) J. Fluid Mech. , vol.72 , Issue.4 , pp. 625-647
    • Bar-Lev, M.1    Yang, H.T.2
  • 2
    • 85190246099 scopus 로고    scopus 로고
    • A. Belov, L. Martinelli, A. Jameson, A new implicit algorithm with multigrid for unsteady incompressible flow calculations, AIAA Paper 95-0049, 33rd Aerospace Sciences Meeting and Exhibit, Reno, NV, January 9-12, 1995.
  • 3
    • 0026841035 scopus 로고
    • Analysis of a one-dimensional model for the immersed boundary method
    • Beyer R.P., and LeVeque R.J. Analysis of a one-dimensional model for the immersed boundary method. SIAM J. Numer. Anal. 29 2 (1992) 332-364
    • (1992) SIAM J. Numer. Anal. , vol.29 , Issue.2 , pp. 332-364
    • Beyer, R.P.1    LeVeque, R.J.2
  • 4
    • 17444403192 scopus 로고    scopus 로고
    • On the finite element solution of the pure Neumann problem
    • Bochev P., and Lehoucq R.B. On the finite element solution of the pure Neumann problem. SIAM Rev. 47 1 (2005) 50-66
    • (2005) SIAM Rev. , vol.47 , Issue.1 , pp. 50-66
    • Bochev, P.1    Lehoucq, R.B.2
  • 5
    • 0000135764 scopus 로고    scopus 로고
    • Accurate projection methods for the incompressible Navier-Stokes equations
    • Brown D.L., Cortez R., and Minion M.L. Accurate projection methods for the incompressible Navier-Stokes equations. J. Comput. Phys. 168 (2001) 464-499
    • (2001) J. Comput. Phys. , vol.168 , pp. 464-499
    • Brown, D.L.1    Cortez, R.2    Minion, M.L.3
  • 6
    • 0037142979 scopus 로고    scopus 로고
    • Analysis of an exact fractional step method
    • Chang W., Giraldo F., and Perot B. Analysis of an exact fractional step method. J. Comput. Phys. 180 (2002) 183-199
    • (2002) J. Comput. Phys. , vol.180 , pp. 183-199
    • Chang, W.1    Giraldo, F.2    Perot, B.3
  • 7
    • 40449093496 scopus 로고
    • A numerical method for solving incompressible viscous flow problems
    • Chorin A.J. A numerical method for solving incompressible viscous flow problems. J. Comput. Phys. 2 1 (1967) 12-26
    • (1967) J. Comput. Phys. , vol.2 , Issue.1 , pp. 12-26
    • Chorin, A.J.1
  • 8
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • Chorin A.J. 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
  • 9
    • 0000028984 scopus 로고    scopus 로고
    • Pressure stability in fractional step finite element methods for incompressible flows
    • Codina R. Pressure stability in fractional step finite element methods for incompressible flows. J. Comput. Phys. 170 (2001) 112-140
    • (2001) J. Comput. Phys. , vol.170 , pp. 112-140
    • Codina, R.1
  • 10
    • 84976088202 scopus 로고
    • Flow past an impulsively started circular cylinder
    • Collins W.M., and Dennis S.C.R. Flow past an impulsively started circular cylinder. J. Fluid Mech. 60 1 (1973) 105-127
    • (1973) J. Fluid Mech. , vol.60 , Issue.1 , pp. 105-127
    • Collins, W.M.1    Dennis, S.C.R.2
  • 12
    • 84958435342 scopus 로고
    • Experimental determination of the main features of the viscous flow in the wake of a circular cylinder in uniform translation. Part 1. Steady flow
    • Coutanceau M., and Bouard R. Experimental determination of the main features of the viscous flow in the wake of a circular cylinder in uniform translation. Part 1. Steady flow. J. Fluid Mech. 79 2 (1977) 231-256
    • (1977) J. Fluid Mech. , vol.79 , Issue.2 , pp. 231-256
    • Coutanceau, M.1    Bouard, R.2
  • 13
    • 0017458644 scopus 로고
    • Experimental determination of the main features of the viscous flow in the wake of a circular cylinder in uniform translation. Part 2. Unsteady flow
    • Coutanceau M., and Bouard R. Experimental determination of the main features of the viscous flow in the wake of a circular cylinder in uniform translation. Part 2. Unsteady flow. J. Fluid Mech. 79 2 (1977) 257-272
    • (1977) J. Fluid Mech. , vol.79 , Issue.2 , pp. 257-272
    • Coutanceau, M.1    Bouard, R.2
  • 14
    • 0014938217 scopus 로고
    • Numerical solutions for steady flow past a circular cylinder at Reynolds number up to 100
    • Dennis S.C.R., and Chang G. Numerical solutions for steady flow past a circular cylinder at Reynolds number up to 100. J. Fluid Mech. 42 3 (1970) 471-489
    • (1970) J. Fluid Mech. , vol.42 , Issue.3 , pp. 471-489
    • Dennis, S.C.R.1    Chang, G.2
  • 15
    • 0002515554 scopus 로고    scopus 로고
    • Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations
    • Fadlun E.A., Verzicco R., Orlandi P., and Mohd-Yusof J. Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations. J. Comput. Phys. 161 (2000) 35-60
    • (2000) J. Comput. Phys. , vol.161 , pp. 35-60
    • Fadlun, E.A.1    Verzicco, R.2    Orlandi, P.3    Mohd-Yusof, J.4
  • 16
    • 0031985381 scopus 로고    scopus 로고
    • Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies
    • Glowinski R., Pan T.W., and Périaux J. Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies. Comput. Methods Appl. Mech. Engrg. 151 (1998) 181-194
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.151 , pp. 181-194
    • Glowinski, R.1    Pan, T.W.2    Périaux, J.3
  • 17
    • 28144434823 scopus 로고
    • Modeling a no-slip flow boundary with an external force field
    • Goldstein D., Handler R., and Sirovich L. Modeling a no-slip flow boundary with an external force field. J. Comput. Phys. 105 (1993) 354-366
    • (1993) J. Comput. Phys. , vol.105 , pp. 354-366
    • Goldstein, D.1    Handler, R.2    Sirovich, L.3
  • 18
    • 0032075632 scopus 로고    scopus 로고
    • On stability and convergence of projection methods based on pressure Poisson equation
    • Guermond J.-L., and Quartapelle L. On stability and convergence of projection methods based on pressure Poisson equation. Int. J. Numer. Methods Fluids 26 (1998) 1039-1053
    • (1998) Int. J. Numer. Methods Fluids , vol.26 , pp. 1039-1053
    • Guermond, J.-L.1    Quartapelle, L.2
  • 19
    • 46549092989 scopus 로고
    • Application of a fractional-step method to incompressible Navier-Stokes equations
    • Kim J., and Moin P. Application of a fractional-step method to incompressible Navier-Stokes equations. J. Comput. Phys. 59 (1985) 308-323
    • (1985) J. Comput. Phys. , vol.59 , pp. 308-323
    • Kim, J.1    Moin, P.2
  • 20
    • 0001251318 scopus 로고    scopus 로고
    • An immersed-boundary finite-volume method for simulations of flow in complex geometries
    • Kim J., Kim D., and Choi H. An immersed-boundary finite-volume method for simulations of flow in complex geometries. J. Comput. Phys. 171 1 (2001) 132-150
    • (2001) J. Comput. Phys. , vol.171 , Issue.1 , pp. 132-150
    • Kim, J.1    Kim, D.2    Choi, H.3
  • 21
    • 0029354755 scopus 로고
    • High-resolution simulations of the flow around an impulsively started cylinder using vortex methods
    • Koumoutsakos P., and Leonard A. High-resolution simulations of the flow around an impulsively started cylinder using vortex methods. J. Fluid Mech. 296 (1995) 1-38
    • (1995) J. Fluid Mech. , vol.296 , pp. 1-38
    • Koumoutsakos, P.1    Leonard, A.2
  • 22
    • 0000868581 scopus 로고    scopus 로고
    • An immersed boundary method with formal second-order accuracy and reduced numerical viscosity
    • Lai M., and Peskin C.S. An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. J. Comput. Phys. 160 (2000) 705-719
    • (2000) J. Comput. Phys. , vol.160 , pp. 705-719
    • Lai, M.1    Peskin, C.S.2
  • 23
    • 2942543066 scopus 로고    scopus 로고
    • An immersed interface method for incompressible Navier-Stokes equations
    • Lee L., and LeVeque R.J. An immersed interface method for incompressible Navier-Stokes equations. SIAM J. Sci. Comput. 25 3 (2003) 832-856
    • (2003) SIAM J. Sci. Comput. , vol.25 , Issue.3 , pp. 832-856
    • Lee, L.1    LeVeque, R.J.2
  • 24
    • 14544280218 scopus 로고    scopus 로고
    • A high-order immersed interface method for simulating unsteady incompressible flows on irregular domains
    • Linnick M.N., and Fasel H.F. A high-order immersed interface method for simulating unsteady incompressible flows on irregular domains. J. Comput. Phys. 204 (2005) 157-192
    • (2005) J. Comput. Phys. , vol.204 , pp. 157-192
    • Linnick, M.N.1    Fasel, H.F.2
  • 25
    • 0002168745 scopus 로고    scopus 로고
    • Preconditioned multigrid methods for unsteady incompressible flows
    • Liu C., Zheng X., and Sung C.H. Preconditioned multigrid methods for unsteady incompressible flows. J. Comput. Phys. 139 (1998) 35-57
    • (1998) J. Comput. Phys. , vol.139 , pp. 35-57
    • Liu, C.1    Zheng, X.2    Sung, C.H.3
  • 28
    • 85190281545 scopus 로고    scopus 로고
    • J. Mohd-Yusof, Combined immersed-boundary/B-spline methods for simulations of flow in complex geometries, Center for Turbulence Research, Annual Research Briefs, 1997, pp. 317-327.
  • 30
    • 0002615718 scopus 로고
    • An analysis of the fractional step method
    • Perot J.B. An analysis of the fractional step method. J. Comput. Phys. 108 (1993) 51-58
    • (1993) J. Comput. Phys. , vol.108 , pp. 51-58
    • Perot, J.B.1
  • 31
    • 49649145203 scopus 로고
    • Flow patterns around heart valves: a numerical method
    • Peskin C.S. Flow patterns around heart valves: a numerical method. J. Comput. Phys. 10 (1972) 252-271
    • (1972) J. Comput. Phys. , vol.10 , pp. 252-271
    • Peskin, C.S.1
  • 32
    • 0017424014 scopus 로고
    • Numerical analysis of blood flow in the heart
    • Peskin C.S. Numerical analysis of blood flow in the heart. J. Comput. Phys. 25 (1977) 220-252
    • (1977) J. Comput. Phys. , vol.25 , pp. 220-252
    • Peskin, C.S.1
  • 33
    • 33751544551 scopus 로고    scopus 로고
    • The immersed boundary method
    • Peskin C.S. The immersed boundary method. Acta Numer. 11 (2002) 479-517
    • (2002) Acta Numer. , vol.11 , pp. 479-517
    • Peskin, C.S.1
  • 34
    • 0000810173 scopus 로고    scopus 로고
    • An adaptive version of the immersed boundary method
    • Roma A.M., Peskin C.S., and Berger M.J. An adaptive version of the immersed boundary method. J. Comput. Phys. 153 (1999) 509-534
    • (1999) J. Comput. Phys. , vol.153 , pp. 509-534
    • Roma, A.M.1    Peskin, C.S.2    Berger, M.J.3
  • 35
    • 85190305904 scopus 로고    scopus 로고
    • A. Roshko, Report 1191: On the development of turbulent wakes from vortex streets, NACA, 1954.
  • 36
    • 0001875899 scopus 로고    scopus 로고
    • The accuracy of the fractional step method
    • Strikwerda J.C., and Lee Y.S. The accuracy of the fractional step method. SIAM J. Numer. Anal. 37 1 (1999) 37-47
    • (1999) SIAM J. Numer. Anal. , vol.37 , Issue.1 , pp. 37-47
    • Strikwerda, J.C.1    Lee, Y.S.2
  • 37
    • 34250481480 scopus 로고
    • Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires (I)
    • Témam R. Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires (I). Arch. Rat. Mech. Anal. 32 2 (1969) 135-153
    • (1969) Arch. Rat. Mech. Anal. , vol.32 , Issue.2 , pp. 135-153
    • Témam, R.1
  • 38
    • 84904262350 scopus 로고
    • Experiments on the flow past a circular cylinder at low Reynolds number
    • Tritton D.J. Experiments on the flow past a circular cylinder at low Reynolds number. J. Fluid Mech. 6 (1959) 547-567
    • (1959) J. Fluid Mech. , vol.6 , pp. 547-567
    • Tritton, D.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.