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Volumn 62, Issue 2, 2001, Pages 385-406

Singularities in Hele-Shaw flows driven by a multipole

Author keywords

Hele Shaw; Interface; Singularity

Indexed keywords

COMPUTER SIMULATION; INTERFACES (MATERIALS); MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; NUMERICAL ANALYSIS; SURFACE TENSION; TWO DIMENSIONAL;

EID: 0036252822     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139900374192     Document Type: Article
Times cited : (12)

References (16)
  • 1
    • 0020191249 scopus 로고
    • Generalized vortex methods for free-surface flow problems
    • G. R. BAKER, D. I. MEIRON, AND S. A. ORSZAG, Generalized vortex methods for free-surface flow problems, J. Fluid Mech., 123 (1982), pp. 477-501.
    • (1982) J. Fluid Mech. , vol.123 , pp. 477-501
    • Baker, G.R.1    Meiron, D.I.2    Orszag, S.A.3
  • 3
    • 0009035543 scopus 로고    scopus 로고
    • Numerical study of Hele-Shaw flow with suction
    • H. CENICEROS, T. HOU, AND H. SI, Numerical study of Hele-Shaw flow with suction, Phys. Fluids, 11 (1999), pp. 1042-1050.
    • (1999) Phys. Fluids , vol.11 , pp. 1042-1050
    • Ceniceros, H.1    Hou, T.2    Si, H.3
  • 4
    • 0001878333 scopus 로고
    • Hele-Shaw flows with a free boundary produced by multipoles
    • V. ENTOV, P. ETINGOF, AND D. KLEINBOCK, Hele-Shaw flows with a free boundary produced by multipoles, European J. Appl. Math., 4 (1993), pp. 97-120.
    • (1993) European J. Appl. Math. , vol.4 , pp. 97-120
    • Entov, V.1    Etingof, P.2    Kleinbock, D.3
  • 5
    • 0002193620 scopus 로고
    • Numerical Analysis of Spectral Methods: Theory and Applications
    • D. GOTTLIEB AND S. A. ORSZAG, EDS., SIAM, Philadelphia, PA
    • D. GOTTLIEB AND S. A. ORSZAG, EDS., Numerical Analysis of Spectral Methods: Theory and Applications, CBMS-NSF Regional Conf. Ser. Appl. Math. 26, SIAM, Philadelphia, PA, 1977.
    • (1977) CBMS-NSF Regional Conf. Ser. Appl. Math. , vol.26
  • 6
    • 0008283862 scopus 로고
    • Remove the stiffness from interfacial flows with surface tension
    • T. Y. Hou, J. S. LOWENGRUB, AND M. J. SHELLEY, Remove the stiffness from interfacial flows with surface tension, J. Comput. Phys., 114 (1994), pp. 312-338.
    • (1994) J. Comput. Phys. , vol.114 , pp. 312-338
    • Hou, T.Y.1    Lowengrub, J.S.2    Shelley, M.J.3
  • 7
    • 0027790933 scopus 로고
    • On the classification of solutions to the zero surface tension model for Hele-Shaw free boundary flows
    • Y. E. HOHLOV AND S. D. HOWISON, On the classification of solutions to the zero surface tension model for Hele-Shaw free boundary flows, Quart. Appl. Math., 51 (1993), pp. 777-789.
    • (1993) Quart. Appl. Math. , vol.51 , pp. 777-789
    • Hohlov, Y.E.1    Howison, S.D.2
  • 8
    • 0031320751 scopus 로고    scopus 로고
    • Numerical simulations of sink flow in the Hele-Shaw cell with small surface tension
    • E. D. KELLEY AND E. J. HINCH, Numerical simulations of sink flow in the Hele-Shaw cell with small surface tension, European J. Appl. Math., 8 (1997), pp. 533-550.
    • (1997) European J. Appl. Math. , vol.8 , pp. 533-550
    • Kelley, E.D.1    Hinch, E.J.2
  • 9
    • 0031319601 scopus 로고    scopus 로고
    • Numerical simulations of Hele-Shaw flows driven by a quadrupole
    • E. D. KELLEY AND E. J. HINCH, Numerical simulations of Hele-Shaw flows driven by a quadrupole, European J. Appl. Math., 8 (1997), pp. 551-566.
    • (1997) European J. Appl. Math. , vol.8 , pp. 551-566
    • Kelley, E.D.1    Hinch, E.J.2
  • 10
    • 0032000710 scopus 로고    scopus 로고
    • Singularities in Hele-Shaw flows
    • Q. NIE AND F. TIAN, Singularities in Hele-Shaw flows, SIAM J. Appl. Math., 58 (1998), pp. 34-54.
    • (1998) SIAM J. Appl. Math. , vol.58 , pp. 34-54
    • Nie, Q.1    Tian, F.2
  • 11
    • 0019683481 scopus 로고
    • Radial fingering in a Hele-Shaw cell
    • L. PATERSON, Radial fingering in a Hele-Shaw cell, J. Fluid Mech., 113 (1981), pp. 513-529.
    • (1981) J. Fluid Mech. , vol.113 , pp. 513-529
    • Paterson, L.1
  • 12
    • 0015491441 scopus 로고
    • Hele-Shaw flows with a free boundary produced by the injection of fluid into a narrow channel
    • S. RICHARDSON, Hele-Shaw flows with a free boundary produced by the injection of fluid into a narrow channel, J. Fluid Mech., 56 (1972), pp. 609-618.
    • (1972) J. Fluid Mech. , vol.56 , pp. 609-618
    • Richardson, S.1
  • 13
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for nonsymmetric linear systems
    • Y. SAAD AND M. H. SCHULTZ, GMRES: A generalized minimal residual algorithm for nonsymmetric linear systems, SIAM J. Sci. Comput., 7 (1986), pp. 856-869.
    • (1986) SIAM J. Sci. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 14
    • 0000375414 scopus 로고
    • Quadrature methods for singular and weakly singular Fredholm integral equations
    • A. SIDI AND M. ISRAELI, Quadrature methods for singular and weakly singular Fredholm integral equations, J. Sci. Comput., 3 (1988), pp. 201-231.
    • (1988) J. Sci. Comput. , vol.3 , pp. 201-231
    • Sidi, A.1    Israeli, M.2
  • 15
    • 0000503407 scopus 로고
    • On the breakdown of Hele-Shaw solutions with non-zero surface tension
    • F. R. TIAN, On the breakdown of Hele-Shaw solutions with non-zero surface tension, J. Nonlinear Sci., 5 (1995), pp. 479-484.
    • (1995) J. Nonlinear Sci. , vol.5 , pp. 479-484
    • Tian, F.R.1
  • 16
    • 0039176399 scopus 로고    scopus 로고
    • A Cauchy integral approach to Hele-Shaw problems with a free boundary: The case of zero surface tension
    • F. R. TIAN, A Cauchy integral approach to Hele-Shaw problems with a free boundary: The case of zero surface tension, Arch. Ration. Mech. Anal., 135 (1996), pp. 175-196.
    • (1996) Arch. Ration. Mech. Anal. , vol.135 , pp. 175-196
    • Tian, F.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.