메뉴 건너뛰기




Volumn 228, Issue 18, 2009, Pages 6938-6956

Consistent projection methods for variable density incompressible Navier-Stokes equations with continuous surface forces on a rectangular collocated mesh

Author keywords

Consistent projection method; Divergence free velocity; Pressure gradient; Surface tension; Variable density Navier Stokes equations

Indexed keywords

CELLS; CYTOLOGY; MESH GENERATION; PRESSURE GRADIENT; SURFACE TENSION; VISCOUS FLOW;

EID: 67849135877     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.06.004     Document Type: Article
Times cited : (16)

References (42)
  • 1
    • 0001608079 scopus 로고
    • A second-order projection method for the incompressible Navier-Stokes equations
    • Bell J.B., Colella P., and Glaz H.M. A second-order projection method for the incompressible Navier-Stokes equations. Journal of Computational Physics 85 (1989) 257-283
    • (1989) Journal of Computational Physics , vol.85 , pp. 257-283
    • Bell, J.B.1    Colella, P.2    Glaz, H.M.3
  • 3
    • 0003044159 scopus 로고
    • Effects of the computational time step on numerical solutions of turbulent flow
    • Choi H., and Moin P. Effects of the computational time step on numerical solutions of turbulent flow. Journal of Computational Physics 113 (1994) 1-4
    • (1994) Journal of Computational Physics , vol.113 , pp. 1-4
    • Choi, H.1    Moin, P.2
  • 4
    • 84968510911 scopus 로고
    • Numerical solution of Navier-Stokes equations
    • Chorin A.J. Numerical solution of Navier-Stokes equations. Mathematics of Computation 22 (1968) 745-762
    • (1968) Mathematics of Computation , vol.22 , pp. 745-762
    • Chorin, A.J.1
  • 7
    • 33749190078 scopus 로고
    • Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface
    • Harlow F.H., and Welch J.E. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Physics of Fluids 8 (1965) 2182-2189
    • (1965) Physics of Fluids , vol.8 , pp. 2182-2189
    • Harlow, F.H.1    Welch, J.E.2
  • 8
    • 39049138980 scopus 로고    scopus 로고
    • A balanced-force refined level set grid method for two-phase flows on unstructured flow solver grids
    • Center for Turbulence Research
    • M. Herrmann, A balanced-force refined level set grid method for two-phase flows on unstructured flow solver grids, Center for Turbulence Research, Annual Research Briefs, 2006.
    • (2006) Annual Research Briefs
    • Herrmann, M.1
  • 9
    • 0019367877 scopus 로고
    • Volume of fluid (VOF) method for dynamics of free boundaries
    • Hirt C.W., and Nichols B.D. Volume of fluid (VOF) method for dynamics of free boundaries. Journal of Computational Physics 39 (1981) 201-225
    • (1981) Journal of Computational Physics , vol.39 , pp. 201-225
    • Hirt, C.W.1    Nichols, B.D.2
  • 10
    • 0000519708 scopus 로고    scopus 로고
    • The second gradient method for the direct numerical simulation of liquid-vapor flows with phase-change
    • Jamet D., Lebaigue O., Coutris N., and Delhaye J.M. The second gradient method for the direct numerical simulation of liquid-vapor flows with phase-change. Journal of Computational Physics 169 (2001) 624-651
    • (2001) Journal of Computational Physics , vol.169 , pp. 624-651
    • Jamet, D.1    Lebaigue, O.2    Coutris, N.3    Delhaye, J.M.4
  • 11
    • 0037058088 scopus 로고    scopus 로고
    • On the theory and computation of surface tension: the elimination of parasitic currents through energy conservation in the second-gradient method
    • Jamet D., Torres D., and Brackbill J.U. On the theory and computation of surface tension: the elimination of parasitic currents through energy conservation in the second-gradient method. Journal Computational Physics 182 (2002) 262-276
    • (2002) Journal Computational Physics , vol.182 , pp. 262-276
    • Jamet, D.1    Torres, D.2    Brackbill, J.U.3
  • 15
    • 85190810260 scopus 로고    scopus 로고
    • Effects of density average at cell faces on computational accuracy of multi-fluid flowss driven by surface tension
    • submitted for publication
    • M.-J. Ni, Effects of density average at cell faces on computational accuracy of multi-fluid flowss driven by surface tension, Numerical Heat Transfer Part B, submitted for publication.
    • Numerical Heat Transfer Part B
    • Ni, M.-J.1
  • 16
    • 9944264588 scopus 로고    scopus 로고
    • Temporal second-order accuracy of SIMPLE-type methods for incompressible unsteady flows
    • Ni M.-J., and Abdou M.A. Temporal second-order accuracy of SIMPLE-type methods for incompressible unsteady flows. Numerical Heat Transfer, Part B 46 (2005) 529-548
    • (2005) Numerical Heat Transfer, Part B , vol.46 , pp. 529-548
    • Ni, M.-J.1    Abdou, M.A.2
  • 17
    • 37249002314 scopus 로고    scopus 로고
    • A bridge between projection methods and SIMPLE type methods for incompressible Navier-Stokes equations
    • Ni M.-J., and Abdou M.A. A bridge between projection methods and SIMPLE type methods for incompressible Navier-Stokes equations. International Journal for Numerical Methods in Engineering 72 (2007) 1490-1512
    • (2007) International Journal for Numerical Methods in Engineering , vol.72 , pp. 1490-1512
    • Ni, M.-J.1    Abdou, M.A.2
  • 18
    • 35348819989 scopus 로고    scopus 로고
    • A current density conservative scheme for incompressible MHD flows at low magnetic reynolds number. Part I: On a rectangular mesh
    • Ni M.-J., Munipalli R., Morley N.B., Huang P., and Abdou M.A. A current density conservative scheme for incompressible MHD flows at low magnetic reynolds number. Part I: On a rectangular mesh. Journal of Computational Physics 227 (2007) 174-204
    • (2007) Journal of Computational Physics , vol.227 , pp. 174-204
    • Ni, M.-J.1    Munipalli, R.2    Morley, N.B.3    Huang, P.4    Abdou, M.A.5
  • 19
    • 35348914374 scopus 로고    scopus 로고
    • A current density conservative scheme for incompressible MHD flows at low magnetic reynolds number. Part II: On an arbitrary collocated mesh
    • Ni M.-J., Munipalli R., Huang P., Morley N.B., and Abdou M.A. A current density conservative scheme for incompressible MHD flows at low magnetic reynolds number. Part II: On an arbitrary collocated mesh. Journal of Computational Physics 227 (2007) 205-228
    • (2007) Journal of Computational Physics , vol.227 , pp. 205-228
    • Ni, M.-J.1    Munipalli, R.2    Huang, P.3    Morley, N.B.4    Abdou, M.A.5
  • 20
    • 0032658313 scopus 로고    scopus 로고
    • Stability analysis for discretized steady convective-diffusion equation
    • Ni M.-J., Tao W.-Q., and Wang S.-J. Stability analysis for discretized steady convective-diffusion equation. Numerical Heat Transfer, Part B 35 (1999) 369-388
    • (1999) Numerical Heat Transfer, Part B , vol.35 , pp. 369-388
    • Ni, M.-J.1    Tao, W.-Q.2    Wang, S.-J.3
  • 21
    • 85190780957 scopus 로고    scopus 로고
    • B.D. Nichols, C.W. Hirt, Methods for calculating multi-dimensional, transient free surface flows past bodies, Technical Report LA-UR-75-1932, Los Alamos National Laboratory, 1975.
    • B.D. Nichols, C.W. Hirt, Methods for calculating multi-dimensional, transient free surface flows past bodies, Technical Report LA-UR-75-1932, Los Alamos National Laboratory, 1975.
  • 22
    • 44749084234 scopus 로고
    • Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
    • Osher S., and Sethian J.A. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics 79 (1988) 12-49
    • (1988) Journal of Computational Physics , vol.79 , pp. 12-49
    • Osher, S.1    Sethian, J.A.2
  • 23
    • 33044504607 scopus 로고
    • A calculation procedure for heat mass and momentum transfer in three-dimensional parabolic flows
    • Patankar S.V., and Spalding D.B. A calculation procedure for heat mass and momentum transfer in three-dimensional parabolic flows. International Journal Heat and Mass Transfer 15 (1972) 1787-1802
    • (1972) International Journal Heat and Mass Transfer , vol.15 , pp. 1787-1802
    • Patankar, S.V.1    Spalding, D.B.2
  • 24
    • 0017424014 scopus 로고
    • Numerical analysis of blood flow in the heart
    • Peskin C.S. Numerical analysis of blood flow in the heart. Journal of Computational Physics 25 (1977) 220-252
    • (1977) Journal of Computational Physics , vol.25 , pp. 220-252
    • Peskin, C.S.1
  • 25
  • 26
    • 0031568182 scopus 로고    scopus 로고
    • A second-order projection method for tracking fluid interfaces in variable density incompressible flows
    • Puckett E.G., Almgren A.S., Bell J.B., Marcus D.L., and Rider W.J. A second-order projection method for tracking fluid interfaces in variable density incompressible flows. Journal of Computational Physics 130 (1997) 269-282
    • (1997) Journal of Computational Physics , vol.130 , pp. 269-282
    • Puckett, E.G.1    Almgren, A.S.2    Bell, J.B.3    Marcus, D.L.4    Rider, W.J.5
  • 27
    • 0037059250 scopus 로고    scopus 로고
    • PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method
    • Renardy Y., and Renardy M. PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method. Journal of Computational Physics 183 (2002) 400-421
    • (2002) Journal of Computational Physics , vol.183 , pp. 400-421
    • Renardy, Y.1    Renardy, M.2
  • 29
    • 13644277992 scopus 로고    scopus 로고
    • Accurate representation of surface tension using the level contour reconstruction method
    • Shin S., Abdel-Khalik S.I., Daru V., and Juric D. Accurate representation of surface tension using the level contour reconstruction method. Journal of Computational Physics 203 (2005) 493-516
    • (2005) Journal of Computational Physics , vol.203 , pp. 493-516
    • Shin, S.1    Abdel-Khalik, S.I.2    Daru, V.3    Juric, D.4
  • 30
    • 10844287324 scopus 로고    scopus 로고
    • Interface pressure calculation based on conservation of momentum for front capturing methods
    • Shirani E., Ashgriz N., and Mostaghimi J. Interface pressure calculation based on conservation of momentum for front capturing methods. Journal of Computational Physics 203 (2005) 154-175
    • (2005) Journal of Computational Physics , vol.203 , pp. 154-175
    • Shirani, E.1    Ashgriz, N.2    Mostaghimi, J.3
  • 31
    • 28144444111 scopus 로고
    • A level set approach for computing solutions to incompressible two-phase flow
    • Sussman M., Smereka P., and Osher S. A level set approach for computing solutions to incompressible two-phase flow. Journal of Computational Physics 114 (1994) 146-159
    • (1994) Journal of Computational Physics , vol.114 , pp. 146-159
    • Sussman, M.1    Smereka, P.2    Osher, S.3
  • 32
    • 0002458941 scopus 로고    scopus 로고
    • A coupled level set and volume-of-fluid method for computing 3D and asymmetric incompressible two-phase flows
    • Sussman M., and Puckett E.G. A coupled level set and volume-of-fluid method for computing 3D and asymmetric incompressible two-phase flows. Journal of Computational Physics 162 (2000) 301-337
    • (2000) Journal of Computational Physics , vol.162 , pp. 301-337
    • Sussman, M.1    Puckett, E.G.2
  • 33
    • 0001731790 scopus 로고
    • Cubic interpolated pseudoparticle method (CIP) for solving hyperbolic type equations
    • Takewaki H., Nishiguchi A., and Yabe T. Cubic interpolated pseudoparticle method (CIP) for solving hyperbolic type equations. Journal of Computational Physics 61 (1985) 261-268
    • (1985) Journal of Computational Physics , vol.61 , pp. 261-268
    • Takewaki, H.1    Nishiguchi, A.2    Yabe, T.3
  • 34
    • 33846346630 scopus 로고    scopus 로고
    • A numerical method for capillarity-dominant free surface flows
    • Tong A.Y., and Wang Z. A numerical method for capillarity-dominant free surface flows. Journal of Computational Physics 221 (2007) 506-523
    • (2007) Journal of Computational Physics , vol.221 , pp. 506-523
    • Tong, A.Y.1    Wang, Z.2
  • 35
    • 0001690161 scopus 로고    scopus 로고
    • The point-set method: front-tracking without connectivity
    • Torres D.J., and Brackbill J.U. The point-set method: front-tracking without connectivity. Journal of Computational Physics 165 (2000) 620-644
    • (2000) Journal of Computational Physics , vol.165 , pp. 620-644
    • Torres, D.J.1    Brackbill, J.U.2
  • 37
    • 44049123695 scopus 로고
    • Computations of multi-fluid flows
    • Unverdi S.O., and Tryggvason G. Computations of multi-fluid flows. Physica D 60 (1992) 70-83
    • (1992) Physica D , vol.60 , pp. 70-83
    • Unverdi, S.O.1    Tryggvason, G.2
  • 38
    • 0021412675 scopus 로고
    • Enhancement of the SIMPLE method for predicting incompressible fluid flows
    • Van Doormaal J.P., and Raithby G.D. Enhancement of the SIMPLE method for predicting incompressible fluid flows. Numerical Heat Transfer 7 (1984) 147-163
    • (1984) Numerical Heat Transfer , vol.7 , pp. 147-163
    • Van Doormaal, J.P.1    Raithby, G.D.2
  • 39
    • 0000084316 scopus 로고    scopus 로고
    • An accurate Cartesian Grid method for viscous incompressible flows with complex immersed boundaries
    • Ye T., Mittal R., Udaykumar H.S., and Shyy W. An accurate Cartesian Grid method for viscous incompressible flows with complex immersed boundaries. Journal of Computational Physics 156 (1999) 209-240
    • (1999) Journal of Computational Physics , vol.156 , pp. 209-240
    • Ye, T.1    Mittal, R.2    Udaykumar, H.S.3    Shyy, W.4
  • 40
    • 0001531042 scopus 로고    scopus 로고
    • Constrained interpolation profile method for multiphase analysis
    • Yabe T., Xiao F., and Utsumi T. Constrained interpolation profile method for multiphase analysis. Journal of Computational Physics 169 (2001) 556-593
    • (2001) Journal of Computational Physics , vol.169 , pp. 556-593
    • Yabe, T.1    Xiao, F.2    Utsumi, T.3
  • 41
    • 0002632351 scopus 로고
    • Time-dependent multi-material flow with large fluid distoration
    • Morton K.W., and Baines M.J. (Eds), Academic Press, New York
    • Youngs D.L. Time-dependent multi-material flow with large fluid distoration. In: Morton K.W., and Baines M.J. (Eds). Numerical Method for Fluid Dynamics (1982), Academic Press, New York 273-281
    • (1982) Numerical Method for Fluid Dynamics , pp. 273-281
    • Youngs, D.L.1
  • 42
    • 0002044102 scopus 로고
    • A non-staggered Grid, fractional step method for time-dependent incompressible Navier-Stokes equations in curvilinear coordinates
    • Zang Y., Street R.L., and Koseff J.R. A non-staggered Grid, fractional step method for time-dependent incompressible Navier-Stokes equations in curvilinear coordinates. Journal of Computational Physics 114 (1994) 18-33
    • (1994) Journal of Computational Physics , vol.114 , pp. 18-33
    • Zang, Y.1    Street, R.L.2    Koseff, J.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.