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Volumn 228, Issue 5, 2009, Pages 1504-1520

Immersed boundary method for the simulation of 2D viscous flow based on vorticity-velocity formulations

Author keywords

Immersed boundary method; Incompressible viscous flow; Multi direct forcing; Vorticity velocity formulations

Indexed keywords

CIRCULAR CYLINDERS; FINITE DIFFERENCE METHOD; INCOMPRESSIBLE FLOW; OSCILLATING CYLINDERS; OSCILLATING FLOW; RUNGE KUTTA METHODS; TURBULENT FLOW; VISCOUS FLOW;

EID: 58249142296     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2008.10.038     Document Type: Article
Times cited : (75)

References (41)
  • 1
    • 0000347507 scopus 로고    scopus 로고
    • Direct numerical simulation of fluid-solid systems using the arbitrary Lagrangian Eulerian technique
    • Hu H.H., Patankar N.A., and Zhu N. Direct numerical simulation of fluid-solid systems using the arbitrary Lagrangian Eulerian technique. J. Comput. Phys. 169 (2001) 427-462
    • (2001) J. Comput. Phys. , vol.169 , pp. 427-462
    • Hu, H.H.1    Patankar, N.A.2    Zhu, N.3
  • 2
    • 0032857504 scopus 로고    scopus 로고
    • A distributed Lagrange multiplier/fictitious domain method for particulate flows
    • Glowinski R., Pan T.W., Hesl T.I., and Joseph D.D. A distributed Lagrange multiplier/fictitious domain method for particulate flows. Int. J. Multiphase Flow 25 (1999) 755-794
    • (1999) Int. J. Multiphase Flow , vol.25 , pp. 755-794
    • Glowinski, R.1    Pan, T.W.2    Hesl, T.I.3    Joseph, D.D.4
  • 3
    • 0000194936 scopus 로고    scopus 로고
    • Physalis: a new O(N) method for the numerical simulation of disperse systems: potential flow of spheres
    • Prosperetti A., and Oguz H.N. Physalis: a new O(N) method for the numerical simulation of disperse systems: potential flow of spheres. J. Comput. Phys. 167 (2001) 196-216
    • (2001) J. Comput. Phys. , vol.167 , pp. 196-216
    • Prosperetti, A.1    Oguz, H.N.2
  • 4
    • 28144444111 scopus 로고
    • A level set approach for computing solutions to incompressible two-phase flows
    • Sussman M., Smereka P., and Osher S. A level set approach for computing solutions to incompressible two-phase flows. J. Comput. Phys. 114 (1994) 146-159
    • (1994) J. Comput. Phys. , vol.114 , pp. 146-159
    • Sussman, M.1    Smereka, P.2    Osher, S.3
  • 6
    • 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
  • 8
    • 28144434823 scopus 로고
    • Modeling a no-slip boundary with an external force field
    • Goldstein D., Handler R., and Sirovich L. Modeling a no-slip 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
  • 9
    • 0030076191 scopus 로고    scopus 로고
    • Numerical simulation of a cylinder in uniform flow: application of a virtual boundary method
    • Saiki E.M., and Biringen S. Numerical simulation of a cylinder in uniform flow: application of a virtual boundary method. J. Comput. Phys. 123 (1996) 450-465
    • (1996) J. Comput. Phys. , vol.123 , pp. 450-465
    • Saiki, E.M.1    Biringen, S.2
  • 10
    • 85190217444 scopus 로고    scopus 로고
    • J. Mohd-Yusof, Combined Immersed Boundary/B-splines Method for Simulations of Flows in Complex Geometry, Annual Research Briefs, Center for Turbulence Research, 1997, pp. 317-327.
    • J. Mohd-Yusof, Combined Immersed Boundary/B-splines Method for Simulations of Flows in Complex Geometry, Annual Research Briefs, Center for Turbulence Research, 1997, pp. 317-327.
  • 11
    • 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
  • 12
    • 21444453996 scopus 로고    scopus 로고
    • An immersed boundary method with direct forcing for the simulation of particulate flows
    • Uhlmann M. An immersed boundary method with direct forcing for the simulation of particulate flows. J. Comput. Phys 209 (2005) 448-476
    • (2005) J. Comput. Phys , vol.209 , pp. 448-476
    • Uhlmann, M.1
  • 13
    • 38649118202 scopus 로고    scopus 로고
    • Combined multi-direct forcing and immersed boundary method for simulating flows with moving particles
    • Wang Z., Fan J., and Luo K. Combined multi-direct forcing and immersed boundary method for simulating flows with moving particles. Int. J. Multiphase Flow 34 (2008) 283-302
    • (2008) Int. J. Multiphase Flow , vol.34 , pp. 283-302
    • Wang, Z.1    Fan, J.2    Luo, K.3
  • 14
    • 37649008447 scopus 로고    scopus 로고
    • Full-scale solutions to particle-laden flows: multiphase forcing and immersed boundary method
    • Luo K., Wang Z., Fan J., and Cen K. Full-scale solutions to particle-laden flows: multiphase forcing and immersed boundary method. Phys. Rev. E 76 (2007) 066709
    • (2007) Phys. Rev. E , vol.76 , pp. 066709
    • Luo, K.1    Wang, Z.2    Fan, J.3    Cen, K.4
  • 15
    • 8744293043 scopus 로고    scopus 로고
    • Proteus: a direct forcing method in the simulations of particulate flows
    • Feng Z.G., and Michaelides E.E. Proteus: a direct forcing method in the simulations of particulate flows. J. Comput. Phys. 202 (2005) 20-51
    • (2005) J. Comput. Phys. , vol.202 , pp. 20-51
    • Feng, Z.G.1    Michaelides, E.E.2
  • 16
    • 41849143026 scopus 로고    scopus 로고
    • Immersed finite element method for rigid body motions in the incompressible Navier-Stokes flow
    • Lee T.R., Chang Y.S., Choi J.B., Kim D.W., Liu W.K., and Kim Y.J. Immersed finite element method for rigid body motions in the incompressible Navier-Stokes flow. Comput. Methods Appl. Mech. Eng. 197 (2008) 2305-2316
    • (2008) Comput. Methods Appl. Mech. Eng. , vol.197 , pp. 2305-2316
    • Lee, T.R.1    Chang, Y.S.2    Choi, J.B.3    Kim, D.W.4    Liu, W.K.5    Kim, Y.J.6
  • 17
    • 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 (2001) 132-150
    • (2001) J. Comput. Phys. , vol.171 , pp. 132-150
    • Kim, J.1    Kim, D.2    Choi, H.3
  • 18
    • 0035455620 scopus 로고    scopus 로고
    • A novel velocity-vorticity formulation of the Navier-Stokes equations with applications to boundary layer disturbance evolution
    • Daives C., and Carpenter P.W. A novel velocity-vorticity formulation of the Navier-Stokes equations with applications to boundary layer disturbance evolution. J. Comput. Phys. 172 (2001) 119-165
    • (2001) J. Comput. Phys. , vol.172 , pp. 119-165
    • Daives, C.1    Carpenter, P.W.2
  • 19
    • 0141459172 scopus 로고    scopus 로고
    • A cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow
    • Russell D., and Wang Z.J. A cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow. J. Comput. Phys. 191 (2003) 177-205
    • (2003) J. Comput. Phys. , vol.191 , pp. 177-205
    • Russell, D.1    Wang, Z.J.2
  • 20
    • 0026117297 scopus 로고
    • Review of incompressible fluid flow computations using the vorticity-velocity formulation
    • Gatski T.B. Review of incompressible fluid flow computations using the vorticity-velocity formulation. Appl. Numer. Meth. 7 (1991) 227-239
    • (1991) Appl. Numer. Meth. , vol.7 , pp. 227-239
    • Gatski, T.B.1
  • 21
    • 0008978420 scopus 로고    scopus 로고
    • Developing high-order weighted compact nonlinear schemes
    • Deng X., and Zhang H. Developing high-order weighted compact nonlinear schemes. J. Comput. Phys. 165 (2000) 22-44
    • (2000) J. Comput. Phys. , vol.165 , pp. 22-44
    • Deng, X.1    Zhang, H.2
  • 22
    • 19044361846 scopus 로고    scopus 로고
    • On the order of accuracy of the immersed boundary method: higher order convergence rates for sufficiently smooth problems
    • Griffith B.E., and Peskin C.S. On the order of accuracy of the immersed boundary method: higher order convergence rates for sufficiently smooth problems. J. Comput. Phys. 208 (2005) 75-105
    • (2005) J. Comput. Phys. , vol.208 , pp. 75-105
    • Griffith, B.E.1    Peskin, C.S.2
  • 23
    • 9144220381 scopus 로고
    • Compact finite difference scheme with spectral-like resolution
    • Lele S.K. Compact finite difference scheme with spectral-like resolution. J. Comput. Phys. 103 (1992) 16-42
    • (1992) J. Comput. Phys. , vol.103 , pp. 16-42
    • Lele, S.K.1
  • 24
    • 0002346969 scopus 로고    scopus 로고
    • A high order fast direct solver for singular Poisson equations
    • Zhuang Y., and Sun X.H. A high order fast direct solver for singular Poisson equations. J. Comput. Phys. 171 (2001) 79-94
    • (2001) J. Comput. Phys. , vol.171 , pp. 79-94
    • Zhuang, Y.1    Sun, X.H.2
  • 25
    • 0016870918 scopus 로고
    • A simple boundary condition for unbounded hyperbolic flow
    • Orlanski I. A simple boundary condition for unbounded hyperbolic flow. J. Comput. Phys. 21 (1976) 251-269
    • (1976) J. Comput. Phys. , vol.21 , pp. 251-269
    • Orlanski, I.1
  • 26
    • 0025517092 scopus 로고
    • The structure of two-dimensional separation
    • Pauley L.L., Moin P., and Reynolds W.C. The structure of two-dimensional separation. J. Fluid Mech. 220 (1990) 397-411
    • (1990) J. Fluid Mech. , vol.220 , pp. 397-411
    • Pauley, L.L.1    Moin, P.2    Reynolds, W.C.3
  • 27
    • 33747004257 scopus 로고    scopus 로고
    • An immersed interface method for simulating the interaction of a fluid with moving boundaries
    • Xu S., and Wang Z.J. An immersed interface method for simulating the interaction of a fluid with moving boundaries. J. Comput. Phys. 216 (2006) 454-493
    • (2006) J. Comput. Phys. , vol.216 , pp. 454-493
    • Xu, S.1    Wang, Z.J.2
  • 28
    • 84904262350 scopus 로고
    • Experiments on the flow past a circular cylinder at low Reynolds number
    • Triton 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
    • Triton, D.J.1
  • 29
    • 0036501622 scopus 로고    scopus 로고
    • A Cartesian grid method for solving the two-dimensional streamfunction-vorticity equations in irregular regions
    • Calhoun D. A Cartesian grid method for solving the two-dimensional streamfunction-vorticity equations in irregular regions. J. Comput. Phys. 176 (2002) 231-275
    • (2002) J. Comput. Phys. , vol.176 , pp. 231-275
    • Calhoun, D.1
  • 30
    • 0043158884 scopus 로고    scopus 로고
    • Numerical simulation of two-dimensional flows over a circular cylinder using the immersed boundary method
    • Silva A.L.F.L.E., Silveira-Neto A., and Damasceno J.J.R. Numerical simulation of two-dimensional flows over a circular cylinder using the immersed boundary method. J. Comput. Phys. 189 (2003) 351-370
    • (2003) J. Comput. Phys. , vol.189 , pp. 351-370
    • Silva, A.L.F.L.E.1    Silveira-Neto, A.2    Damasceno, J.J.R.3
  • 31
    • 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. J. Comput. Phys. 156 (1999) 209-240
    • (1999) J. Comput. Phys. , vol.156 , pp. 209-240
    • Ye, T.1    Mittal, R.2    Udaykumar, H.S.3    Shyy, W.4
  • 33
    • 0022698249 scopus 로고
    • Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder
    • Braza M., Chassaing P., and Ha Minh H. Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder. J. Fluid Mech. 165 (1986) 79-130
    • (1986) J. Fluid Mech. , vol.165 , pp. 79-130
    • Braza, M.1    Chassaing, P.2    Ha Minh, H.3
  • 34
    • 2842535832 scopus 로고    scopus 로고
    • Vortex dynamics in the cylinder wake
    • Williamson C.H. Vortex dynamics in the cylinder wake. Annu. Rev. Fluid Mech. 28 (1996) 477-539
    • (1996) Annu. Rev. Fluid Mech. , vol.28 , pp. 477-539
    • Williamson, C.H.1
  • 35
    • 0023408690 scopus 로고
    • A finite element study of the onset of vortex shedding in flow past variously shaped bodies
    • Jackson C.P. A finite element study of the onset of vortex shedding in flow past variously shaped bodies. J. Fluid Mech. 182 (1987) 23-45
    • (1987) J. Fluid Mech. , vol.182 , pp. 23-45
    • Jackson, C.P.1
  • 36
    • 0023144640 scopus 로고
    • Benard-von Karman instability: transient and forced regimes
    • Provensal M., Mathis C., and Boyer L. Benard-von Karman instability: transient and forced regimes. J. Fluid Mech. 182 (1987) 1-22
    • (1987) J. Fluid Mech. , vol.182 , pp. 1-22
    • Provensal, M.1    Mathis, C.2    Boyer, L.3
  • 37
    • 0032051231 scopus 로고    scopus 로고
    • Low-Reynolds-number flow around an oscillating circular cylinder at low Keulegan-Carpenter numbers
    • Dütsch H., Durst F., Becker S., and Lienhart H. Low-Reynolds-number flow around an oscillating circular cylinder at low Keulegan-Carpenter numbers. J. Fluid Mech. 360 (1998) 249-271
    • (1998) J. Fluid Mech. , vol.360 , pp. 249-271
    • Dütsch, H.1    Durst, F.2    Becker, S.3    Lienhart, H.4
  • 38
    • 33645859573 scopus 로고    scopus 로고
    • An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries
    • Yang J., and Balaras E. An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries. J. Comput. Phys. 215 (2006) 12-40
    • (2006) J. Comput. Phys. , vol.215 , pp. 12-40
    • Yang, J.1    Balaras, E.2
  • 39
    • 34249089331 scopus 로고    scopus 로고
    • An immersed boundary method for complex incompressible flows
    • Choi J.I., Oberoi R.C., Edwards J.R., and Rosati J.A. An immersed boundary method for complex incompressible flows. J. Comput. Phys. 224 (2007) 757-784
    • (2007) J. Comput. Phys. , vol.224 , pp. 757-784
    • Choi, J.I.1    Oberoi, R.C.2    Edwards, J.R.3    Rosati, J.A.4
  • 40
    • 41949109811 scopus 로고    scopus 로고
    • An implicit-forcing immersed boundary method for simulating viscous flow in irregular domains
    • Le D.V., Khoo B.C., and Lim K.M. An implicit-forcing immersed boundary method for simulating viscous flow in irregular domains. Comput. Methods Appl. Mech. Eng. 197 (2008) 2119-2130
    • (2008) Comput. Methods Appl. Mech. Eng. , vol.197 , pp. 2119-2130
    • Le, D.V.1    Khoo, B.C.2    Lim, K.M.3
  • 41
    • 0028485385 scopus 로고
    • The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
    • LeVeque R.J., and Li Z. The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM J. Numer. Anal. 31 (1994) 1019-1044
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1019-1044
    • LeVeque, R.J.1    Li, Z.2


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