메뉴 건너뛰기




Volumn 25, Issue 3, 2003, Pages 832-856

An immersed interface method for incompressible Navier-Stokes equations

Author keywords

CLAWPACK; Flexible membrane; High resolution finite volume method; Immersed boundary; Immersed interface; Incompressible flow; Projection method; Surface tension

Indexed keywords

ALGORITHMS; BOUNDARY ELEMENT METHOD; FINITE VOLUME METHOD; INCOMPRESSIBLE FLOW; NUMERICAL ANALYSIS; PRESSURE REGULATION; PROBLEM SOLVING; SURFACE TENSION;

EID: 2942543066     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827502414060     Document Type: Article
Times cited : (279)

References (27)
  • 1
    • 0000103294 scopus 로고
    • A computational model of the cochlea using the immersed boundary method
    • R. P. BEYER, A computational model of the cochlea using the immersed boundary method, J. Comput. Phys., 98 (1992), pp. 145-162.
    • (1992) J. Comput. Phys. , vol.98 , pp. 145-162
    • Beyer, R.P.1
  • 2
    • 0000135764 scopus 로고    scopus 로고
    • Accurate projection methods for the incompressible Navier-Stokes equations
    • D. L. BROWN, R. CORTEZ, AND M. L. MINION, Accurate projection methods for the incompressible Navier-Stokes equations, J. Comput. Phys., 168 (2001), pp. 464-499.
    • (2001) J. Comput. Phys. , vol.168 , pp. 464-499
    • Brown, D.L.1    Cortez, R.2    Minion, M.L.3
  • 3
    • 2942609289 scopus 로고    scopus 로고
    • personal communication
    • R. CORTEZ, personal communication, 2001.
    • (2001)
    • Cortez, R.1
  • 4
    • 0001123374 scopus 로고    scopus 로고
    • The blob projection method for immersed boundary problems
    • R. CORTEZ AND M. MINION, The blob projection method for immersed boundary problems, J. Comput. Phys., 161 (2000), pp. 428-453.
    • (2000) J. Comput. Phys. , vol.161 , pp. 428-453
    • Cortez, R.1    Minion, M.2
  • 5
    • 0001242774 scopus 로고    scopus 로고
    • The dynamics of an elastic membrane using the impulse method
    • R. CORTEZ AND D. A. VARELA, The dynamics of an elastic membrane using the impulse method, J. Comput. Phys., 138 (1997), pp. 224-247.
    • (1997) J. Comput. Phys. , vol.138 , pp. 224-247
    • Cortez, R.1    Varela, D.A.2
  • 6
    • 0030295718 scopus 로고    scopus 로고
    • Modeling biofilm processes using the immersed boundary method
    • R. DILLON, L. FAUCI, A. FOGELSON, AND D. GAVER, Modeling biofilm processes using the immersed boundary method, J. Comput. Phys., 129 (1996), pp. 57-73.
    • (1996) J. Comput. Phys. , vol.129 , pp. 57-73
    • Dillon, R.1    Fauci, L.2    Fogelson, A.3    Gaver, D.4
  • 7
    • 0002265666 scopus 로고
    • A computational model of aquatic animal locomotion
    • L. J. FAUCI AND C. S. PESKIN, A computational model of aquatic animal locomotion, J. Comput. Phys., (1988), pp. 85-108.
    • (1988) J. Comput. Phys. , pp. 85-108
    • Fauci, L.J.1    Peskin, C.S.2
  • 8
    • 0001021844 scopus 로고
    • A mathematical model and numerical method for studying platelet adhesion and aggregation during blood clotting
    • A. L. FOGELSON, A mathematical model and numerical method for studying platelet adhesion and aggregation during blood clotting, J. Comput. Phys., 1 (1984), pp. 111-134.
    • (1984) J. Comput. Phys. , vol.1 , pp. 111-134
    • Fogelson, A.L.1
  • 9
    • 46549092989 scopus 로고
    • Application of a fractional-step method to incompressible Navier-Stokes equations
    • J. KIM AND P. MOIN, Application of a fractional-step method to incompressible Navier-Stokes equations, J. Comput. Phys., 59 (1985), pp. 308-323.
    • (1985) J. Comput. Phys. , vol.59 , pp. 308-323
    • Kim, J.1    Moin, P.2
  • 12
    • 0000314925 scopus 로고    scopus 로고
    • High-resolution conservative algorithms for advection in incompressible flow
    • R. J. LEVEQUE, High-resolution conservative algorithms for advection in incompressible flow, SIAM J. Numer. Anal., 33 (1996), pp. 627-665.
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 627-665
    • Leveque, R.J.1
  • 13
    • 0000308880 scopus 로고    scopus 로고
    • Wave propagation algorithms for multi-dimensional hyperbolic systems
    • R. J. LEVEQUE, Wave propagation algorithms for multi-dimensional hyperbolic systems, J. Comput. Phys., 131 (1997), pp. 327-353.
    • (1997) J. Comput. Phys. , vol.131 , pp. 327-353
    • Leveque, R.J.1
  • 14
    • 0028485385 scopus 로고
    • The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
    • R. J. LEVEQUE AND Z. LI, The immersed interface method for elliptic equations with discontinuous coefficients and singular sources, SIAM J. Numer. Anal., 31 (1994), pp. 1019-1044.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1019-1044
    • Leveque, R.J.1    Li, Z.2
  • 15
    • 0031129202 scopus 로고    scopus 로고
    • Immersed interface methods for stokes flow with elastic boundaries or surface tension
    • 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.
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 709-735
    • Leveque, R.J.1    Li, Z.2
  • 16
    • 0001439074 scopus 로고    scopus 로고
    • The immersed interface method for the Navier-Stokes equation with singular forces
    • Z. LI AND M. C. LAI, The immersed interface method for the Navier-Stokes equation with singular forces, J. Comput. Phys., 171 (2001), pp. 822-842.
    • (2001) J. Comput. Phys. , vol.171 , pp. 822-842
    • Li, Z.1    Lai, M.C.2
  • 17
    • 0021417514 scopus 로고
    • The fast solution of poisson's and the biharmonic equations on irregular regions
    • A. MAYO, The fast solution of Poisson's and the biharmonic equations on irregular regions, SIAM J. Numer. Anal., 21 (1984), pp. 285-299.
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 285-299
    • Mayo, A.1
  • 18
    • 0001417748 scopus 로고
    • An implicit numerical method for fluid dynamics problems with immersed elastic boundaries
    • A. A. MAYO AND C. S. PESKIN, An implicit numerical method for fluid dynamics problems with immersed elastic boundaries, Contemp. Math., 141 (1993), pp. 261-277.
    • (1993) Contemp. Math. , vol.141 , pp. 261-277
    • Mayo, A.A.1    Peskin, C.S.2
  • 19
    • 0017424014 scopus 로고
    • Numerical analysis of blood flow in the heart
    • C. S. PESKIN, Numerical analysis of blood flow in the heart, J. Comput. Phys., 25 (1977), pp. 220-252.
    • (1977) J. Comput. Phys. , vol.25 , pp. 220-252
    • Peskin, C.S.1
  • 20
    • 0002818291 scopus 로고
    • Lectures on mathematical aspects of physiology
    • AMS, Providence, RI
    • C. S. PESKIN, Lectures on Mathematical Aspects of Physiology, Lectures in Appl. Math., 19, AMS, Providence, RI, 1981.
    • (1981) Lectures in Appl. Math. , vol.19
    • Peskin, C.S.1
  • 21
    • 85025757493 scopus 로고
    • Modeling prosthetic heart valves for numerical analysis of blood flow in the heart
    • C. S. PESKIN AND D, M. MCQUEEN, Modeling prosthetic heart valves for numerical analysis of blood flow in the heart, J. Comput. Phys., 105 (1980), pp. 113-132.
    • (1980) J. Comput. Phys. , vol.105 , pp. 113-132
    • Peskin, C.S.1    Mcqueen, D.M.2
  • 22
    • 45149143078 scopus 로고
    • A three-dimensional computational method for blood in the heart: I. Immersed elastic fibers in a viscous incompressible fluid
    • C. S. PESKIN AND D. M. MCQUEEN, A three-dimensional computational method for blood in the heart: I. Immersed elastic fibers in a viscous incompressible fluid, J. Comput. Phys., 81 (1989), pp. 372-405.
    • (1989) J. Comput. Phys. , vol.81 , pp. 372-405
    • Peskin, C.S.1    Mcqueen, D.M.2
  • 23
    • 0029437912 scopus 로고
    • A general method for the computer simulation of biological systems interacting with fluids
    • C. P. Ellington and T. J. Pedley, eds., The Company of Biologists Ltd., Cambridge, UK
    • C. S. PESKIN AND D. M. MCQUEEN, A general method for the computer simulation of biological systems interacting with fluids, in Symposia of the Society for Experimental Biology, Vol. 49, C. P. Ellington and T. J. Pedley, eds., The Company of Biologists Ltd., Cambridge, UK, 1995, pp. 265-276.
    • (1995) Symposia of the Society for Experimental Biology , vol.49 , pp. 265-276
    • Peskin, C.S.1    Mcqueen, D.M.2
  • 24
    • 0002795289 scopus 로고
    • Improved volume conservation in the computation of flows with immersed elastic boundaries
    • C. S. PESKIN AND B. F. PRINTZ, Improved volume conservation in the computation of flows with immersed elastic boundaries, J. Comput. Phys., 105 (1993), pp. 33-46.
    • (1993) J. Comput. Phys. , vol.105 , pp. 33-46
    • Peskin, C.S.1    Printz, B.F.2
  • 25
    • 0001793756 scopus 로고    scopus 로고
    • Simulating the motion of flexible pulp fibres using the immersed boundary method
    • 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.
    • (1998) J. Comput. Phys. , vol.147 , pp. 147-165
    • Stockie, J.M.1    Green, S.I.2
  • 27
    • 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. Statist. Comput., 13 (1992), pp. 1361-1376.
    • (1992) SIAM J. Sci. Statist. Comput. , vol.13 , pp. 1361-1376
    • Tu, C.1    Peskin, C.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.