메뉴 건너뛰기




Volumn 31, Issue 5, 2009, Pages 3404-3416

Tether force constraints in Stokes flow by the immersed boundary method on a periodic domain

Author keywords

Immersed boundary method; Numerical methods; Stokes equations

Indexed keywords

ELASTICITY; TETHERLINES; TURBULENT FLOW;

EID: 79957462278     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/080720217     Document Type: Article
Times cited : (29)

References (28)
  • 3
    • 10244229322 scopus 로고
    • Mechanics of swimming and flying
    • Cambridge University Press, Cambridge
    • S. Childress, Mechanics of Swimming and Flying, Cambridge Stud. Math. Biol., Cambridge University Press, Cambridge, 1981.
    • (1981) Cambridge Stud. Math. Biol.
    • Childress, S.1
  • 4
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • A. J. Chorin, Numerical solution of the Navier-Stokes equations, Math. Comp., 22 (1968), pp. 745-762.
    • (1968) Math. Comp. , vol.22 , pp. 745-762
    • Chorin, A.J.1
  • 5
    • 15844383109 scopus 로고    scopus 로고
    • The method of regularized stokeslets in three dimensions: Analysis, validation and application to helical swimming
    • A. R. Cortez, L. Fauci, and A. Medovikov, The method of regularized stokeslets in three dimensions: Analysis, validation and application to helical swimming, Phys. Fluids, 17 (2005), 031504.
    • (2005) Phys. Fluids , vol.17 , pp. 031504
    • Cortez, A.R.1    Fauci, L.2    Medovikov, A.3
  • 6
    • 0026939521 scopus 로고
    • Peristaltic pumping of solid particles
    • DOI 10.1016/0045-7930(92)90008-J
    • L. Fauci, Peristaltic pumping of solid particles, Comput. and Fluids, 21 (1992), pp. 583-598. (Pubitemid 23558189)
    • (1992) Computers and Fluids , vol.21 , Issue.4 , pp. 583-598
    • Fauci Lisa, J.1
  • 7
    • 0002265666 scopus 로고
    • A computational model of aquatic animal locomotion
    • L. Fauci and C. Peskin, A computational model of aquatic animal locomotion, J. Comput. Phys., 77 (1988), pp. 85-108.
    • (1988) J. Comput. Phys. , vol.77 , pp. 85-108
    • Fauci, L.1    Peskin, C.2
  • 8
    • 0002869426 scopus 로고
    • A fast numerical method for solving the three-dimensional Stokes equations in the presence of suspended particles
    • A. Fogelson and C. Peskin, A fast numerical method for solving the three-dimensional Stokes equations in the presence of suspended particles, J. Comput. Phys., 79 (1988), pp. 50-69.
    • (1988) J. Comput. Phys. , vol.79 , pp. 50-69
    • Fogelson, A.1    Peskin, C.2
  • 9
    • 28144434823 scopus 로고
    • Modeling a no-slip boundary with an external force field
    • D. Goldstein, R. Handler, and L. Sirovich, Modeling a no-slip boundary with an external force field, J. Comput. Phys., 105 (1993), pp. 546-366.
    • (1993) J. Comput. Phys. , vol.105 , pp. 546-366
    • Goldstein, D.1    Handler, R.2    Sirovich, L.3
  • 10
    • 0344342317 scopus 로고    scopus 로고
    • Immersed boundary technique for turbulent flow simulations
    • DOI 10.1115/1.1563627
    • G. Iaccarino and R. Verzicco, Immersed boundary technique for turbulent flow simulations, Appl. Mech. Rev., 56 (2003), pp. 331-347. (Pubitemid 40205920)
    • (2003) Applied Mechanics Reviews , vol.56 , Issue.3 , pp. 331-347
    • Iaccarino, G.1    Verzicco, R.2
  • 12
    • 0000868581 scopus 로고    scopus 로고
    • An immersed boundary method with formal second order accuracy
    • M. Lai and C. Peskin, An immersed boundary method with formal second order accuracy, J. Comput. Phys., 160 (2000), pp. 705-719.
    • (2000) J. Comput. Phys. , vol.160 , pp. 705-719
    • Lai, M.1    Peskin, C.2
  • 14
    • 0031129202 scopus 로고    scopus 로고
    • Immersed interface methods for Stokes flow with elastic boundaries or surface tension
    • PII S1064827595282532
    • R. J. LeVeque and Z. Li, Immersed interface methods for Stokes flow with elastic boundaries or surface tension, SIAM J. Sci. Comput., 18 (1997), pp. 709-735. (Pubitemid 127640880)
    • (1997) SIAM Journal of Scientific Computing , vol.18 , Issue.3 , pp. 709-735
    • Leveque, R.J.1    Li, Z.2
  • 15
    • 35848943928 scopus 로고    scopus 로고
    • The immersed interface method: Numerical solutions of pdes involving interfaces and irregular domains
    • SIAM, Philadelphia
    • Z. Li and K. Ito, The Immersed Interface Method: Numerical Solutions of PDEs Involving Interfaces and Irregular Domains, Frontiers Appl. Math. 33, SIAM, Philadelphia, 2006.
    • (2006) Frontiers Appl. Math. , vol.33
    • Li, Z.1    Ito, K.2
  • 16
    • 0142179795 scopus 로고    scopus 로고
    • Combined immersed boundary/b-spline methods for the simulations of flow in complex geometries
    • J. Mohd-Yusof, Combined Immersed Boundary/B-Spline Methods for the Simulations of Flow in Complex Geometries, Annual Research Briefs, Center for Turbulence Research, 1997, pp. 317-328.
    • (1997) Annual Research Briefs, Center for Turbulence Research , pp. 317-328
    • Mohd-Yusof, J.1
  • 17
    • 33847017264 scopus 로고    scopus 로고
    • Unconditionally stable discretizations of the immersed boundary equations
    • E. P. Newren, A. L. Fogelson, R. D. Guy, and R. M. Kirby, Unconditionally stable discretizations of the immersed boundary equations, J. Comput. Phys., 222 (2007), pp. 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
  • 18
    • 33751544551 scopus 로고    scopus 로고
    • The immersed boundary method
    • C. S. Peskin, The immersed boundary method, Acta Numer., 11 (2002), pp. 479-517.
    • (2002) Acta Numer. , vol.11 , pp. 479-517
    • Peskin, C.S.1
  • 19
    • 0023121358 scopus 로고
    • A study of peristaltic flow
    • C. Pozrikidis, A study of peristaltic flow, J. Fluid Mech., 180 (1987), pp. 515-527.
    • (1987) J. Fluid Mech. , vol.180 , pp. 515-527
    • Pozrikidis, C.1
  • 21
    • 0030076191 scopus 로고
    • Numerical simulation of a cylinder in uniform flow: Application of a virtual boundary method
    • E. M. Saiki and S. Biringen, Numerical simulation of a cylinder in uniform flow: Application of a virtual boundary method, J. Comput. Phys., 123 (1995), pp. 450-465.
    • (1995) J. Comput. Phys. , vol.123 , pp. 450-465
    • Saiki, E.M.1    Biringen, S.2
  • 22
    • 0014545261 scopus 로고
    • Peristaltic pumping with long wavelengths at low reynolds number
    • A. H. Shapiro, M. Y. Jaffrin, and S. L. Weinberg, Peristaltic pumping with long wavelengths at low reynolds number, J. Fluid Mech., 37 (1969), pp. 799-825.
    • (1969) J. Fluid Mech. , vol.37 , pp. 799-825
    • Shapiro, A.H.1    Jaffrin, M.Y.2    Weinberg, S.L.3
  • 23
    • 24944498780 scopus 로고    scopus 로고
    • Microfluidics: Fluid physics at the nanoliter scale
    • DOI 10.1103/RevModPhys.77.977
    • T. M. Squires and S. R. Quake, Microfluidics: Fluid physics at the nanoliter scale, Rev. Modern Phys., 7 (2005), pp. 977-1026. (Pubitemid 43272528)
    • (2005) Reviews of Modern Physics , vol.77 , Issue.3 , pp. 977-1026
    • Squires, T.M.1    Quake, S.R.2
  • 24
    • 0001793756 scopus 로고    scopus 로고
    • Simulating the motion of flexible pulp fibres using the immersed boundary method
    • DOI 10.1006/jcph.1998.6086, PII S0021999198960867
    • J. M. Stockie and S. I. Green, Simulating the motion of flexible pulp fibres using the immersed boundary method, J. Comput. Phys., 147 (1998), pp. 147-165. (Pubitemid 128344815)
    • (1998) Journal of Computational Physics , vol.147 , Issue.1 , pp. 147-165
    • Stockie, J.M.1    Green, S.I.2
  • 25
    • 0029508275 scopus 로고
    • Stability analysis for the immersed fiber problem
    • J. M. Stockie and B. T. R. Wetton, Stability analysis for the immersed fiber problem, SIAM J. Appl. Math., 55 (1995), pp. 1577-1591.
    • (1995) SIAM J. Appl. Math. , vol.55 , pp. 1577-1591
    • Stockie, J.M.1    Wetton, B.T.R.2
  • 26
    • 0000862974 scopus 로고
    • Analysis of the swimming of microscopic organisms
    • G. I. Taylor, Analysis of the swimming of microscopic organisms, Proc. Roy. Soc. Lond. Ser. A, 209 (1951), pp. 447-461.
    • (1951) Proc. Roy. Soc. Lond. Ser. A , vol.209 , pp. 447-461
    • Taylor, G.I.1
  • 27
    • 1942475755 scopus 로고    scopus 로고
    • Simulating the dynamics and interactions of flexible fibers in Stokes flows
    • DOI 10.1016/j.jcp.2003.10.017
    • A. K. Tornberg and M. J. Shelley, Simulating the dynamics and interactions of flexible fibers in Stokes flows, J. Comput. Phys., 196 (2004), pp. 8-40. (Pubitemid 38521660)
    • (2004) Journal of Computational Physics , vol.196 , Issue.1 , pp. 8-40
    • Tornberg, A.-K.1    Shelley, M.J.2
  • 28
    • 0000714458 scopus 로고
    • Stability and instability in the computation of flows with moving immersed boundaries: A comparison of three methods
    • C. Tu and C. S. Peskin, Stability and instability in the computation of flows with moving immersed boundaries: A comparison of three methods, SIAM J. Sci. Stat. Comput., 13 (1992), pp. 1361-1376.
    • (1992) SIAM J. Sci. Stat. Comput. , vol.13 , pp. 1361-1376
    • Tu, C.1    Peskin, C.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.