메뉴 건너뛰기




Volumn 227, Issue 20, 2008, Pages 8968-8991

An efficient semi-implicit immersed boundary method for the Navier-Stokes equations

Author keywords

Immersed boundary method; Implicit discretization; Navier Stokes equations

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; FLUID STRUCTURE INTERACTION; STABILITY; TURBULENT FLOW; VISCOUS FLOW;

EID: 50249101609     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2008.07.005     Document Type: Article
Times cited : (48)

References (38)
  • 1
    • 85190180759 scopus 로고    scopus 로고
    • M. Abramowitz, I.A. Stegun, Modified Bessel Functions I and K, Dover, New York, 9th printing, 1972.
    • M. Abramowitz, I.A. Stegun, Modified Bessel Functions I and K, Dover, New York, 9th printing, 1972.
  • 2
    • 0000135764 scopus 로고    scopus 로고
    • Accurate projection methods for the incompressible Navier-Stokes equations
    • Brown D.L., Cortex R., and Minion M. 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    Cortex, R.2    Minion, M.3
  • 3
    • 0000103294 scopus 로고
    • A computational model of the cochlea using the immersed boundary method
    • Beyer R.P. A computational model of the cochlea using the immersed boundary method. J. Comput. Phys. 98 (1992) 145-162
    • (1992) J. Comput. Phys. , vol.98 , pp. 145-162
    • Beyer, R.P.1
  • 4
    • 2342582725 scopus 로고    scopus 로고
    • Simulation of swimming organisms: coupling internal mechanics with external fluid dynamics
    • Cortez R., Cowen N., Dillon R., and Fauci L.J. Simulation of swimming organisms: coupling internal mechanics with external fluid dynamics. Comput. Sci. Eng. 6 (2004) 38-45
    • (2004) Comput. Sci. Eng. , vol.6 , pp. 38-45
    • Cortez, R.1    Cowen, N.2    Dillon, R.3    Fauci, L.J.4
  • 5
    • 0030584607 scopus 로고    scopus 로고
    • A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
    • Chang Y.C., Hou T.Y., Merriman B., and Osher S. A level set formulation of Eulerian interface capturing methods for incompressible fluid flows. J. Comput. Phys. 124 (1996) 449-464
    • (1996) J. Comput. Phys. , vol.124 , pp. 449-464
    • Chang, Y.C.1    Hou, T.Y.2    Merriman, B.3    Osher, S.4
  • 6
    • 17144401291 scopus 로고    scopus 로고
    • Study of the long-time dynamics of viscous vortex sheet with a fully adaptive nonstiff method
    • Ceniceros H.D., and Roma A.M. Study of the long-time dynamics of viscous vortex sheet with a fully adaptive nonstiff method. Phys. Fluid 16 (2004) 4285-4318
    • (2004) Phys. Fluid , vol.16 , pp. 4285-4318
    • Ceniceros, H.D.1    Roma, A.M.2
  • 7
    • 0002265666 scopus 로고
    • A computational model of aquatic animal locomotion
    • Fauci L., and Peskin C.S. A computational model of aquatic animal locomotion. J. Comput. Phys. 77 (1988) 85-108
    • (1988) J. Comput. Phys. , vol.77 , pp. 85-108
    • Fauci, L.1    Peskin, C.S.2
  • 8
    • 0002869426 scopus 로고
    • A fast numerical method for solving the three-dimensional Stokes equations in the presence of suspended particles
    • Fauci L., and Peskin C.S. A fast numerical method for solving the three-dimensional Stokes equations in the presence of suspended particles. J. Comput. Phys. 79 (1988) 50-69
    • (1988) J. Comput. Phys. , vol.79 , pp. 50-69
    • Fauci, L.1    Peskin, C.S.2
  • 9
    • 0000635603 scopus 로고
    • Interaction of oscillating silaments - a computational study
    • Fauci L.J. Interaction of oscillating silaments - a computational study. J. Comput. Phys 86 (1990) 294-313
    • (1990) J. Comput. Phys , vol.86 , pp. 294-313
    • Fauci, L.J.1
  • 10
    • 0001021844 scopus 로고
    • A mathematical model and numerical methods for studying platelet adhesion and aggregation during blood clotting
    • Fogelson A.L. A mathematical model and numerical methods for studying platelet adhesion and aggregation during blood clotting. J. Comput. Phys. 56 (1984) 111-134
    • (1984) J. Comput. Phys. , vol.56 , pp. 111-134
    • Fogelson, A.L.1
  • 11
    • 85190224292 scopus 로고    scopus 로고
    • E. Givelberg, Modeling elastic shells immersed in fluid, PhD Thesis, Courant Institute of Mathematical Sciences, New York University, 1997.
    • E. Givelberg, Modeling elastic shells immersed in fluid, PhD Thesis, Courant Institute of Mathematical Sciences, New York University, 1997.
  • 12
    • 0008283862 scopus 로고
    • Removing the stiffness from interfacial flows with surface tension
    • Hou T.Y., Lowengrub J., and Shelley M. Removing the stiffness from interfacial flows with surface tension. J. Comput. Phys. 114 (1994) 312-338
    • (1994) J. Comput. Phys. , vol.114 , pp. 312-338
    • Hou, T.Y.1    Lowengrub, J.2    Shelley, M.3
  • 13
    • 0030870172 scopus 로고    scopus 로고
    • The long-time motion of vortex sheets with surface tension
    • Hou T.Y., Lowengrub J., and Shelley M. The long-time motion of vortex sheets with surface tension. Phys. Fluid A 9 (1997) 1933-1954
    • (1997) Phys. Fluid A , vol.9 , pp. 1933-1954
    • Hou, T.Y.1    Lowengrub, J.2    Shelley, M.3
  • 14
    • 0037171427 scopus 로고    scopus 로고
    • A computational model of the collective fluid dynamics of motile microorganisms
    • Hopkins M., and Fauci L.J. A computational model of the collective fluid dynamics of motile microorganisms. J. Fluid Mech. 455 (2002) 149-174
    • (2002) J. Fluid Mech. , vol.455 , pp. 149-174
    • Hopkins, M.1    Fauci, L.J.2
  • 15
    • 85190217128 scopus 로고    scopus 로고
    • T.Y. Hou, Z. Shi, Removing the stiffness of elastic force from the immersed boundary method for the 2D stokes equations, J. Comput Phys., in press, doi:10.1016/j.jcp.2008.03.002.
    • T.Y. Hou, Z. Shi, Removing the stiffness of elastic force from the immersed boundary method for the 2D stokes equations, J. Comput Phys., in press, doi:10.1016/j.jcp.2008.03.002.
  • 16
    • 0036208211 scopus 로고    scopus 로고
    • Two-dimensional simulations of valveless pumping using the immersed boundary method
    • Jung E.N., and Peskin C.S. Two-dimensional simulations of valveless pumping using the immersed boundary method. SIAM J. Sci. Comput. 23 (2001) 19-45
    • (2001) SIAM J. Sci. Comput. , vol.23 , pp. 19-45
    • Jung, E.N.1    Peskin, C.S.2
  • 17
    • 0001417748 scopus 로고
    • An implicit numerical method for fluid dynamics problems with immersed elastic boundaries
    • Mayo A.A., and Peskin C.S. An implicit numerical method for fluid dynamics problems with immersed elastic boundaries. Contemp. Math. 141 (1993) 261-277
    • (1993) Contemp. Math. , vol.141 , pp. 261-277
    • Mayo, A.A.1    Peskin, C.S.2
  • 18
    • 0020069737 scopus 로고
    • Fluid dynamics of the mitral valve: physiological aspects of a mathematical model
    • McQueen D.M., Peskin C.S., and Yellin E.L. Fluid dynamics of the mitral valve: physiological aspects of a mathematical model. Am. J. Physiol. 242 (1982) H1095-H1110
    • (1982) Am. J. Physiol. , vol.242
    • McQueen, D.M.1    Peskin, C.S.2    Yellin, E.L.3
  • 19
    • 0020527726 scopus 로고
    • Computer assisted design of pivoting-disc prosthetic mitral valves
    • McQueen D.M., and Peskin C.S. Computer assisted design of pivoting-disc prosthetic mitral valves. J. Thorac. Cardiovasc. Surg. 86 (1983) 126-135
    • (1983) J. Thorac. Cardiovasc. Surg. , vol.86 , pp. 126-135
    • McQueen, D.M.1    Peskin, C.S.2
  • 20
    • 0021887985 scopus 로고
    • Computer assisted design of butterfly bileaflet valves for mitral position
    • McQueen D.M., and Peskin C.S. Computer assisted design of butterfly bileaflet valves for mitral position. Scand. J. Thorac. Cardiovasc. Surg. 19 (1985) 139-148
    • (1985) Scand. J. Thorac. Cardiovasc. Surg. , vol.19 , pp. 139-148
    • McQueen, D.M.1    Peskin, C.S.2
  • 21
    • 45149145362 scopus 로고
    • A three-dimensional computational method for blood flow in the heart: (II) Contractile fibers
    • McQueen D.M., and Peskin C.S. A three-dimensional computational method for blood flow in the heart: (II) Contractile fibers. J. Comput. Phys. 82 (1989) 289-297
    • (1989) J. Comput. Phys. , vol.82 , pp. 289-297
    • McQueen, D.M.1    Peskin, C.S.2
  • 22
    • 85190178798 scopus 로고    scopus 로고
    • D.M. McQueen, C.S. Peskin, Heart simulation by an immersed boundary method with formal second order accuracy and reduced viscosity, in: Mechanics for a New Millennium, Proceedings of the International Conference on Theoretical and Applied mechanics (ICTAM), Kluwer Academic Publishers, 2000.
    • D.M. McQueen, C.S. Peskin, Heart simulation by an immersed boundary method with formal second order accuracy and reduced viscosity, in: Mechanics for a New Millennium, Proceedings of the International Conference on Theoretical and Applied mechanics (ICTAM), Kluwer Academic Publishers, 2000.
  • 23
    • 5444248006 scopus 로고    scopus 로고
    • When vortices stick: and aerodynamic transition in tiny insects
    • Miller L.A., and Peskin C.S. When vortices stick: and aerodynamic transition in tiny insects. J. Exp. Biol. 207 (2004) 3073-3088
    • (2004) J. Exp. Biol. , vol.207 , pp. 3073-3088
    • Miller, L.A.1    Peskin, C.S.2
  • 24
    • 14644413512 scopus 로고    scopus 로고
    • A computational fluid dynamics of 'clap and fling' in small insects
    • Miller L.A., and Peskin C.S. A computational fluid dynamics of 'clap and fling' in small insects. J. Exp. Biol. 208 (2005) 195-212
    • (2005) J. Exp. Biol. , vol.208 , pp. 195-212
    • Miller, L.A.1    Peskin, C.S.2
  • 25
    • 41849088118 scopus 로고    scopus 로고
    • Implicit second-order immersed boundary methods with boundary mass
    • Mori Y., and Peskin C.S. Implicit second-order immersed boundary methods with boundary mass. Comput. Methods Appl. Mech. Engrg. 197 (2008) 2049-2067
    • (2008) Comput. Methods Appl. Mech. Engrg. , vol.197 , pp. 2049-2067
    • Mori, Y.1    Peskin, C.S.2
  • 26
    • 33847017264 scopus 로고    scopus 로고
    • Unconditionally stable discretizations of the immersed boundary equations
    • Newren E.P., Fogelson A.L., Guy R.D., and Kirby R.M. Unconditionally stable discretizations of the immersed boundary equations. J. Comput. Phys. 222 (2007) 702-719
    • (2007) J. Comput. Phys. , vol.222 , pp. 702-719
    • Newren, E.P.1    Fogelson, A.L.2    Guy, R.D.3    Kirby, R.M.4
  • 27
    • 0017424014 scopus 로고
    • Numerical study of blood flow in the heart
    • Peskin C.S. Numerical study 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
  • 28
    • 45149143078 scopus 로고
    • A three-dimensional computational method for blood flow in the heart: (I) Immersed elastic fibers in a viscous incompressible fluid
    • Peskin C.S., and McQueen D.M. A three-dimensional computational method for blood flow in the heart: (I) Immersed elastic fibers in a viscous incompressible fluid. J. Comput. Phys. 81 (1989) 372-405
    • (1989) J. Comput. Phys. , vol.81 , pp. 372-405
    • Peskin, C.S.1    McQueen, D.M.2
  • 29
    • 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
  • 31
    • 0012666265 scopus 로고    scopus 로고
    • Fluid flow in collapsible elastic tubes: a three-dimensional numerical model
    • Rosar M.E., and Peskin C.S. Fluid flow in collapsible elastic tubes: a three-dimensional numerical model. New York J. Math. 7 (2001) 281-302
    • (2001) New York J. Math. , vol.7 , pp. 281-302
    • Rosar, M.E.1    Peskin, C.S.2
  • 32
    • 0029508275 scopus 로고
    • Stability analysis for the immersed fiber problem
    • Stockie J.M., and Wetton B.R. Stability analysis for the immersed fiber problem. SIAM J. Appl. Math. 55 (1995) 1577-1591
    • (1995) SIAM J. Appl. Math. , vol.55 , pp. 1577-1591
    • Stockie, J.M.1    Wetton, B.R.2
  • 33
    • 0001793756 scopus 로고    scopus 로고
    • Simulating the motion of flexible pulp fibers using the immersed boundary method
    • Stockie J.M., and Green S.I. Simulating the motion of flexible pulp fibers using the immersed boundary method. J. Comput. Phys. 147 (1998) 147-165
    • (1998) J. Comput. Phys. , vol.147 , pp. 147-165
    • Stockie, J.M.1    Green, S.I.2
  • 34
    • 0009001404 scopus 로고    scopus 로고
    • Analysis of stiffness in the immersed boundary method and implications for time-stepping schemes
    • Stockie J.M., and Wetton B.R. Analysis of stiffness in the immersed boundary method and implications for time-stepping schemes. J. Comput. Phys. 154 (1999) 41-64
    • (1999) J. Comput. Phys. , vol.154 , pp. 41-64
    • Stockie, J.M.1    Wetton, B.R.2
  • 35
    • 0000714458 scopus 로고
    • Stability and instability in the computation of flows with moving immersed boundaries: A comparison of three methods
    • Tu C., and Peskin C.S. Stability and instability in the computation of flows with moving immersed boundaries: A comparison of three methods. SIAM J. Sci. Stat. Comput. 13 (1992) 1361-1376
    • (1992) SIAM J. Sci. Stat. Comput. , vol.13 , pp. 1361-1376
    • Tu, C.1    Peskin, C.S.2
  • 36
    • 0036675890 scopus 로고    scopus 로고
    • The nonlinear behavior of a sheared immiscible fluid interface
    • Tauber W., Unverdi S.O., and Tryggvason G. The nonlinear behavior of a sheared immiscible fluid interface. Phys. Fluid 14 (2002) 2871-2885
    • (2002) Phys. Fluid , vol.14 , pp. 2871-2885
    • Tauber, W.1    Unverdi, S.O.2    Tryggvason, G.3
  • 37
    • 0006006596 scopus 로고    scopus 로고
    • Computational methods or continuum models of platelet aggregation
    • Wang N.T., and Fogelson A.L. Computational methods or continuum models of platelet aggregation. J. Comput. Phys. 151 (1999) 649-675
    • (1999) J. Comput. Phys. , vol.151 , pp. 649-675
    • Wang, N.T.1    Fogelson, A.L.2
  • 38
    • 0036646919 scopus 로고    scopus 로고
    • Simulation of a flexible flapping filament in a flowing soap film by the immersed boundary method
    • Zhu L., and Peskin C.S. Simulation of a flexible flapping filament in a flowing soap film by the immersed boundary method. J. Comput. Phys. 179 (2002) 452-468
    • (2002) J. Comput. Phys. , vol.179 , pp. 452-468
    • Zhu, L.1    Peskin, C.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.